h(x) is wider than f(x) and translated 1 unit up.
g(x) is narrower than f(x) and translated 3 units down.
What is translation?It is the movement of the shape in the left, right, up, and down directions.
The translated shape will have the same shape and shape.
There is a positive value when translated to the right and up.
There is a negative value when translated to the left and down.
We have,
a)
f(x) = x²
h(x) = 3x² + 1
This means,
f(x) is dilated with a scale factor of 3 and translated one unit up.
So,
h(x) will be wider than f(x).
b)
f(x) = x²
g(x) = (1/2)x² - 3
This means,
f(x) is dilated with a scale factor of 1/2 and translated to 3 units down.
So,
g(x) will be narrower than f(x).
Thus,
h(x) is wider than f(x) and translated 1 unit up.
g(x) is narrower than f(x) and translated 3 units down.
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the within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Group of answer choices
Scores in each of the actual groups studied
Mean of the groups minus the mean of the scores of the actual groups
Equal to the between-groups estimate of population variance
Means of the groups studied
The within-group estimate of variance is the estimate of the variance of the population of individuals based on the variation among the scores in each of the actual groups studied.
The within-groups estimate of variance is the estimate of the variance of the population of individuals based on the variation among the:
Scores in each of the actual groups studied.
This estimate represents the variation within each group and helps in understanding the population's variance by looking at individual differences within the groups.
The estimated within-group variance is the sum of the within-group variances for each group in the model. Effectively, this is the sum of the variance of each value (j) from its group (i) divided by the sample size minus one.
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what is 354,352,244,567 X 275,814,564 i need help!!
4 cards are drawn from a deck of shuffled cards without
replacement.
Find the probability that:
a) All are kings
b) All are red cards
a) The probability of drawing all kings from a shuffled deck of cards without replacement is approximately 0.0000014, or 1.4 in 1 million.
b) The probability of drawing all red cards from a shuffled deck without replacement is approximately 0.000000103, or 1.03 in 10 million.
a) Probability of drawing all kings:
To calculate the probability of drawing all kings, we need to determine the total number of possible outcomes and the number of favorable outcomes. Let's break it down step by step:
Step 1: Total number of possible outcomes
In a standard deck of 52 playing cards, there are four kings. When we draw one card, there are 52 cards to choose from. For the second draw, only 51 cards remain, and so on. Therefore, the total number of possible outcomes for drawing four cards without replacement is:
52 × 51 × 50 × 49 = 649,740
Step 2: Number of favorable outcomes
Since we want all four cards to be kings, there are only four kings in the deck. When we draw the first card, there is a 4/52 chance of it being a king. For the second card, the probability reduces to 3/51 since there are three kings remaining out of 51 cards. Similarly, for the third and fourth cards, the probabilities become 2/50 and 1/49, respectively. Therefore, the number of favorable outcomes is:
(4/52) × (3/51) × (2/50) × (1/49) = 1/270,725
Step 3: Calculating the probability
Finally, we can calculate the probability of drawing all kings by dividing the number of favorable outcomes by the total number of possible outcomes:
P(all kings) = (1/270,725) / (649,740) ≈ 0.0000014
b) Probability of drawing all red cards:
Similarly, let's calculate the probability of drawing all red cards from the deck. We follow the same steps:
Step 1: Total number of possible outcomes
When we draw the first card, there are 26 red cards in a deck of 52. For the second draw, there are 25 red cards remaining out of 51, and so on. Hence, the total number of possible outcomes for drawing four cards without replacement is:
26 × 25 × 24 × 23 = 358,800
Step 2: Number of favorable outcomes
Since we want all four cards to be red, there are 26 red cards in the deck. The probability of drawing a red card for the first draw is 26/52. For the second draw, the probability becomes 25/51, for the third draw it is 24/50, and for the fourth draw, it is 23/49. Thus, the number of favorable outcomes is:
(26/52) × (25/51) × (24/50) × (23/49) ≈ 0.037
Step 3: Calculating the probability
The probability of drawing all red cards is the ratio of the number of favorable outcomes to the total number of possible outcomes:
P(all red cards) = (0.037) / (358,800) ≈ 0.000000103
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.1.3 Jennie has $200 and she spends $30. What percent of her
money is spent?
zoo
A) 15%
B) 30%
30
C) 66%
D) 85%
Answer:
A
Step-by-step explanation:
To change a fraction to a percentage, multiply by 100%
\(\frac{30}{200}\) × 100%
= 0.15 × 100%
= 15% → A
Is it possible to prove that the triangles are congruent by using the AAS congruence theorem?
Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent. This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle. To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
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Yes, it is possible to prove that two triangles are congruent by using the AAS congruence theorem.
The AAS congruence theorem
it states that if two angles and the included side of one triangle are congruent to two angles and the included side of a second triangle, then the two triangles are congruent.
This theorem can be used to prove that two triangles are congruent if two of the angles in the triangle and the side between them are congruent to two angles and the side between them of the other triangle.
To prove congruence using the AAS congruence theorem, it is important to use the right angle and side measurements to ensure that the two triangles are congruent. If the measurements are correct, then the two triangles will be congruent.
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The price of an iPad Air is initially $500. iPads owned by a college student depreciate at a rate of 3% per
year. Write a function to represent the cost of the iPad Air after t years. How much would an iPad Air be
worth after four years?
By the congruent complements theorem, which angle is congruent to angle4? angle1 angle2 angle3 angle5
From the figure , and by using congruent complements theorem, the angle that is congruent to angle4 is (a) angle1 .
The "Congruent Complements Theorem" states that if two angles are complementary to same angle, then they are congruent. In other words, if two angles add up to 90 degrees, and they both complement the same third angle, then they are equal in measure.
The ∠4 and ∠5 are the complements and ∠1 and ∠5 are complements.
Which proves that : ∠1 and ∠4 are complimentary to the same angle that is ∠5.
Therefore, the ∠ 1 is congruent to angle 4 .
The given question is incomplete , the complete question is
From the figure below , the angle 4 and angle 5 are complements and angle 1 and angle 5 are complements , By using the congruent complements theorem, which angle is congruent to angle4 ?
(a) angle1
(b) angle2
(c) angle3
(d) angle5
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1.10.3 Test (CST): Coordinate Geometry
Question 10 of 25
What is the area of a square with sides of length 9?
A. 54 square units
B. 81 square units
C. 36 square units
O D. 18 square units
SUBMIT
The area of a square with sides of length 9 is 81 square units.
What is an area?Area is defined as the total space taken up by a flat (2-D) surface or shape of an object.
The space enclosed by the boundary of a plane figure is called its area.
The area of a figure is the number of unit squares that cover the surface of a closed figure.
Given that, a square with side length of 9 units, we need to find its area, We know that, the area of a square is given by the square of it side, so Area = side²
Area of the given square = 9²
= 9 x 9
= 81 sq. units
Hence. the area of a square with sides of length 9 is 81 square units.
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Finn goes to the store and buys a bike for $70. The store has a sales tax rate of 8% How much tax will Finn have to pay?
Given:
a.) Finn goes to the store and buys a bike for $70.
b.) The store has a sales tax rate of 8%.
To be able to determine the amount that Finn will pay, we will be using the following equation:
\(\text{Tax = Price of bike x }\frac{\text{ Tax rate}}{100}\)We get,
\(\text{Tax = Price of bike x }\frac{\text{ Tax rate}}{100}\)\(\text{ = \$70 x }\frac{8}{100}\)\(\text{ = \$70 x }0.08\)\(\text{= \$5.60}\)Therefore, Finn will be paying $5.60 for the sales tax of buying a $70 bike.
Question 17
A student tracked the progress of a viral video. This table displays the total number
of times the video was viewed as well as the number of days since it was posted.
The data can be modeled by a quadratic function.
I would really appreciate it if you would help me I’m kinda confused on this one
The quadratic function that models the data given in the table is 203.8x² - 26.6x + 8.6
What is the quadratic function?A quadratic function is an equation that usually has a single variable and it is raised to the power of 2.
A quadratic function has the form : ax² + bx + c = 0
Where: a, b,c are known numbers and x is unknown
Given the quadratic function: 185x²+ 1.
Number of views when 1 day has passed = 185(1) + 1 = 186Number of views when 6 days has passed = 185(6²) + 1 = 6661Given the quadratic function: 203.8x² - 26.6x + 8.6
Number of views when 1 day has passed = 203.8(1)² - 26.6(1)+ 8.6 = 185.80Number of views when 6 days has passed = 203.8(6)² - 26.6(6) + 8.6 = 7185.80To learn more bout quadratic functions, please check: https://brainly.com/question/5975436
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On a certain hot summer's day, 133 people used the public swimming pool. The daily prices are 1.50 for children and 2.25 for adults. The receipts for admission totaled 270.75 How many children and how many adults swam at the public pool that day?
That day the number of adults was 95 and the number of children was 38
How many children and how many adults swam at the public pool that day?Let's define the variables:
x = number of adults.
y = number of children.
We know that 133 people used the public swimming pool. then we can write:
x + y = 133
We also know that the receipts for admission totaled 270.75, then we can write other equation as:
2.25x + 1.5y = 270.75
Then the system of equations is:
x + y = 133
2.25x + 1.5y = 270.75
In the first equation we can isolate x to get:
y = 133 - x
Now replace that in the other equation to get:
2.25x + 1.5*(133 - x) = 270.75
0.75x + 199.5 = 270.75
0.75x = 270.75 - 199.5
x = 71.25/0.75 = 95
Then the value of y is:
y = 133 - 95 = 38
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which of the following conclusions is appropriate at a 5% level of significance? check all that apply.group of answer choicesimipramine is more effective because the mean time to recurrence of depression symptoms is longer for those taking imipramine.the differences observed in sample means do not provide strong evidence of a difference in mean recurrence time for the three treatment types in the population.there are statistically significant differences in mean time to recurrence of depression symptoms for patients in the three treatment groups. this suggests that there is a treatment effect.for the population of depressed people who take lithium or imipramine or who do not receive treatment, the mean time it takes for depression to reoccur differs.no conclusion is possible because conditions for use of the anova f-test are not met.
The conclusion that is appropriate at a 5% level of significance is this:C. There are statistically significant differences in the mean time to recurrence of depression symptoms for patients in the three treatment groups. this suggests that there is a treatment effect.
What is the correct conclusion?The correct conclusion is that the result obtained from the analysis is statistically significant, so the null hypothesis can be rejected. This also means that there are 1 in 20 chances of obtaining an error.
So, for a study checking the relationship between the mean time to recurrence of depression symptoms, the 5% level of significance would demonstrate a relationship.
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The difference of x and y is 14. The value of x is 3 more than
twice the value of y. Write two equations and graph to find
the value of x.
O X = 25
O x = -17
OX= 4
O x = 11
The value of X = 25.
The difference of x and y is 14. The value of x is 3 more thantwice the value of y. Find the value of x and y.Solution:
The two equations are
(i) the first condition is difference of x and y is 14
x - y = 14 ---------equation 1
(ii) the second condition of the given data is value of x is 3 times more than two times of y value.
x - 2y = 3 --------equation 2
From equation 2, we have to separate two variables x and y,
x = 3 + 2y --------equation 3
We have to Substitute equation 3 in equation 1
3 + 2y - y = 14
3 + y = 14
y = 14 - 3
y = 11
Substitute y = 11 in equation 1........
x - 11 = 14
x = 14 + 11
x = 25
So, the value of x is 25 and y is 11.
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Answer:
x - y = 14x - 2y = 3x = 25Step-by-step explanation:
Given the difference of x and y is 14, and the difference of x and 2y is 3, you want two equations, their graph, and the value of x.
EquationsThe difference of 'a' and 'b' is (a -b). Here, the two differences are expressed as the equations ...
x - y = 14x - 2y = 3GraphThe attachment shows a graph of these equations. Their point of intersection is (25, 11), meaning the value of x is 25.
The graph of the first equation is easily drawn by recognizing the x- and y-intercepts are 14 and -14, respectively.
The graph of the second equation will go through the x-intercept point of (3, 0) and the y-intercept point of (0, -3/2). It is probably easier to graph this by hand by considering the x-intercept point and the slope of 1/2.
Algebraic solutionSince we're only interested in the value of x, it is convenient to eliminate the variable y. We can to that by subtracting the second equation from twice the first:
2(x -y) -(x -2y) = 2(14) -(3)
x = 25 . . . . . . . . . simplify
determine the value of y^12 when y= 10^ -1/6
Answer: \(\boxed{\frac{1}{100}\ or\ 0.01}\)
Step-by-step explanation:
Determine the value of \(y^{12} \ when\ y=10^{-\frac{1}{6}\)
\(=(10^{-\frac{1}{6} })^{12}\)
\(=\frac{1}{100}\ or\ 0.01\)
\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ y^{12}\hspace{5em}y=10^{-\frac{1}{6}}\qquad \implies \qquad \left( 10^{-\frac{1}{6}}\right)^{12}\implies 10^{-\frac{1}{6}\cdot 12} \\\\\\ 10^{-2}\implies \cfrac{1}{10^2}\implies \cfrac{1}{100}\)
12. For QR one endpoint is Q(3,2) and the other is R(5,10). Using the Midpoint Formula, find the coordinates of the midpoint of Q and R.
Answer:
\((4,6)\)
General Formulas and Concepts:
Order of Operations: BPEMDASMidpoint Formula: \((\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\)Step-by-step explanation:
Step 1: Define points
Q (3, 2)
R (5, 10)
Step 2: Find Midpoint
Substitute: \((\frac{3+5}{2},\frac{2+10}{2})\)Add: \((\frac{8}{2},\frac{12}{2})\)Divide: \((4,6)\)PLEASE SOMEONE HELP MEEEE I AM LITERALLY FRYING NY BRAIN. NO LINKS OR I WILL REPORT YOU... PLEASE AND THANKS
Answer:
1. True
2. False
3. True
4. False
Step-by-step explanation:
Rocco has a weekly reading schedule, reading for 4.5 hours per day on some days and 3.5 hours per day on the other days. He reads a total of 25.5 hours in a seven-day week. On how many days does he read for 4.5 hours?
Answer:
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
Step-by-step explanation:
Let
x = days he reads for 4.5 hours
y = days he reads for 3.5 hours
x + y = 7 (1)
4.5x + 3.5y = 25.5 (2)
From (1)
x = 7 - y
Substitute x = 7 - y into (2)
4.5x + 3.5y = 25.5 (2)
4.5(7 - y) + 3.5y = 25.5
31.5 - 4.5y + 3.5y = 25.5
- 4.5y + 3.5y = 25.5 - 31.5
-y = -6
y = 6
Substitute y = 6 into (1)
x + y = 7 (1)
x + 6 = 7
x = 7 - 6
x = 1
x = days he reads for 4.5 hours = 1 day
y = days he reads for 3.5 hours = 6 days
) Lucy, Soling, Kyan, and Daniel are ordering dinner for their families. Each person spends
a total of $65. Let m equal the price of one meal. Match each equation with the purchase
it represents.
Answer:
Lucy is 5(m+3)=65
Soling is 5m-3=65
Kyan is 5m+3=65
Daniel is 5(m-3)=65
Step-by-step explanation:
Answer:
Lucy: 1
Solign: 3
Kyan: 2
Daniel: 4
Step-by-step explanation:
eric is flying an airplane at an altitude of 2200 feet. he sees his house on the ground at a 45⁰ angle of depression. what is Eric's horizontal distance from his house at this point?
Answer:
2200 feet
Step-by-step explanation:
1. Find necessary angles
45˚ + 45˚ = 90
so airplane and height is 45˚ in between
d = distance
cos 45 = 2200/d
d = 2200/cos 45
d ≈ 3111.27 > all of the answers
If it is from ground to house then its 2200 ft, same as plane to ground
6cm
5cm
20cm
4cm
5cm
4cm
12cm
6cm
4cm
Answer:
SA = 788cm^2
Step-by-step explanation:
pink one:
length- 5
width- 6
height- 20
surface area- 500
purple one:
length- 4
width- 6
height- 12
surface area- 288
total surface area:
500 + 288 = 788
SA = 788cm^2
GOOD LUCK!!!! You'll do amazing <3
The total surface area of the composite figure will be 788 cm².
What is surface area?The total area occupied by an object's surface is referred to as its surface area. Varying 3D forms have different surface areas in geometry, which may be simply estimated using calculations.
The given pink cuboid has :
The length = 5
The width = 6
The height = 20
The surface area of pink cuboid = 500 cm²
The given purple cuboid has :
The length = 6
The width = 4
The height = 12
The surface area of purple cuboid = 288 cm²
Total surface area = The surface area of pink cuboid + The surface area of purple cuboid
Total surface area = 500 + 288 = 788 cm²
SA = 788 cm²
Thus, the total surface area of the composite figure will be 788 cm².
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Find the values of x and y.
Answer: y=37.5degrees and x=110degrees
Step-by-step explanation: sum of angle in a quadrilateral =360 and opposite angles=180. 115+2y=180,2y=180-115=75. 2y/2=75/2. therefore y=37.5. while x=70+x=180,x=180-70=110. x=110
Help pls!!!
A farmer budgets $5,000 to buy and feed a cow for 300 days. She buys the cow for $2,000,
so how much can she spend on food each day?
Answer:
10 dollars
Step-by-step explanation:
10 dollars a day
10x300=3000
3000+2000=5000
Step-by-step explanation:
anyone know the answer?
What is the volume of a sphere with a diameter of 7.5 cm, rounded to the nearest tenth of a cubic centimeter?
Answer:
V≈220.89cm³
Step-by-step explanation:
Answer: 220.9
4/3 π(3.75)^3=220.9
Find a vector a with representation given bythe directed line segment AB. DrawAB and the equivalent representationstarting at the origin.
a) A(-2,-2), B(5,3)
b) A(4,0,-2), B(4,2,1)
A vector with the representation provided by the directed line segment AB for A(-2,-2), B(5,3) is <7,5> and for A(4,0,-2), B(4,2,1) is <0, 2, 3>.
a) The vector representation of a directed line segment AB with initial point A(-2, -2) and terminal point B(5, 3) is given by the difference of their position vectors: a⃗ = b⃗ − a⃗ = <5-(-2), 3-(-2)> = <7,5>.
The equivalent representation starting at the origin can be drawn as shown in the attached figure:
b) The vector representation of a directed line segment AB with initial point A(4, 0, -2) and terminal point B(4, 2, 1) is given by the difference of their position vectors: a⃗ = b⃗ − a⃗ = <4-4, 2-0, 1-(-2)> = <0, 2, 3>.
The equivalent representation starting at the origin can be drawn, as shown in the attached figure.
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Help for number 4 please
The domain and ranges of the relations are;
3. Domain; {3, 5, -10, 9}
Range; {-4, 0, 6}
4. Domain; -2 ≤ x ≤ 4
Range; -2 ≤ y ≤ 4
What is the domain and range of a function?The domain is the set of the set of the possible input values of the relation and the range is the set of the possible output values of the relation
3. {(3, -4), (5, -4), (3, 0), (-10, 6), (9, 6)}
The above ordered pair are presented in the form (x, y), where, the input values are the x-values and the output values are the y-values
The domain which is the set of the input values is therefore;
Domain; {3, 5, -10, 9}The range is therefore;
Range: {-4, 0, 6}The x-value of 3 has two different y-values of -4 and 0. therefore, the relation is not a function
4. The relation is location of points on the circumference of a circle.
The input values are the x-values related to the graph, and the output values are the y-values related to the points on the circumference of the circle.
The diameter of the circle parallel to the x-axis extends from (-2, 1) to (4, 1)
The coordinates of locations on the diameter of the circle parallel to the y-axis are; (1, 4), and (1, -2)
The possible x-values, and therefore the domain are; -2 ≤ x ≤ 4
The possible y-values and therefore the range (vertical extension or reach of the circle) are; -2 ≤ y ≤ 4
The x-value of x = 1 has two y-values of -2 and 4, the relation between the x and y-values is therefore not a function.
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WILL GIVE BRAINLIEST ASAPP!!!!!
Apply the rules of exponents and solve leaving your answer in base-exponent form:
4^3 x 4^5 =
5^8 ÷ 5^-2 =
(6^3 ) ^ 4 =
Step-by-step explanation:
Applying rules of exponents to solve the given problems;
4^3 x 4^5 =
5^8 ÷ 5^-2 =
(6^3 ) ^ 4 =
For these problems, the applicable rules of exponents are;
aᵇ x aⁿ = aᵇ⁺ⁿ
aᵇ ÷ aⁿ = aᵇ⁻ⁿ
(aᵇ)ˣ = aᵇˣ
For the first problem; 4³ x 4⁵
aᵇ x aⁿ = aᵇ⁺ⁿ
4³ x 4⁵ = 4³⁺⁵ = 4⁸
Second problem: aᵇ ÷ aⁿ = aᵇ⁻ⁿ
5⁸ ÷ 5⁻² = 5⁸⁻⁽⁻²⁾ = 5⁸⁺² = 5¹⁰
Third problem; (aᵇ)ˣ = aᵇˣ
(6³)⁴ = 6³ˣ⁴ = 6¹²
A liquid starts at a temperature of 65 degrees and its temperature increases by a rate of 5 degrees per minute. How many minutes will it take for the temperature of the liquid to reach 128 degrees?
Besides being simple for its own sake, what other advantage do simple models usually have?
a) Higher accuracy
b) Greater complexity
c) Easier interpretation
d) More detailed predictions
The correct option is c) Easier interpretation. One of the main advantages of simple models is their ease of interpretation. Simple models tend to have fewer parameters and less complex mathematical equations, making it easier to understand and interpret how the model is making predictions.
This interpretability can be valuable in various domains, such as medicine, finance, or legal systems, where it is important to have transparent and understandable decision-making processes.
Complex models, on the other hand, often involve intricate relationships and numerous parameters, which can make it challenging to comprehend the underlying reasoning behind their predictions. While complex models can sometimes offer higher accuracy or make more detailed predictions, they often sacrifice interpretability in the process.
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A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?
Answer:
Length = 3.6
Width= 2.4
Step-by-step explanation:
A rectangle has length 1. 5 times the width, and perimeter 12 cm. What are the dimensions of
the rectangle?
So a rectangle has 2 longer sides and 2 shorter sides.
Knowing the length is 1.5 times the width
and perimeter of 12 centimeters.
The Perimeter is the adding of all the values around a shape. A rectangle has 4 sides so you add up all the sides.
1.5w+1.5w+w+w=12
5w=12
12/5=w
w=2.4
To figure the length just multiply 1.5*2.4=3.6
And That is how you solve it :)
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