You need to remember that:
1. The Slope-Intercept Form of the equation of a line is:
\(y=mx+b\)Where "m" is the slope and "b" is the y-intercept.
2. The slopes of parallel lines are equal.
3. The slopes of perpendicular lines are opposite reciprocals.
Given the first line:
\(y=3x-11\)You can identify that:
\(\begin{gathered} m_1=3 \\ b_1=-11 \end{gathered}\)Given the second line:
\(y=-3x-11\)You can notice that:
\(\begin{gathered} m_2=-3 \\ b_2=-11 \end{gathered}\)Therefore, you can determine that:
- They are not parallel.
- They are not perpendicular.
The answer is: Neither.
Find the length, width and perimeter of 3 possible different rectangles given the area of 12 square units, Fill out the table below. PLS HELP
Answer:
Bussy
Step-by-step explanation:
Part C
Find the average and margin of error for each of the following: the entire sample, 1950s records, 1960s records, 1970s records, Company A records, Company B records, and Company C records.
Part D
An oil embargo in the 1970s made vinyl more expensive, which some collectors say caused a decrease in average vinyl weight from 1970 onward. Do the data support this claim? Why or why not? Be sure to discuss averages, margins of error, and anything else that is relevant in your answer.
The average is 40 and the margin of error is 10.95.
What is margin of error?
The margin of error is a statistic expressing the amount of random sampling in the result of a survey.
Average (A) = sum of all the value/ given set.
A = (51+ 41 + 28)/3 = 40
margin of error = 100/square root of 120 = 10.95.
Therefore, the average is 40 and the margin of error is 10.95.
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What is the common difference for this arithmetic sequence?
-6, -1, 4, 9, 14,
Answer: +5
Step-by-step explanation:
-6 + 5 = -1
-1 + 5 = 4
4 + 5 = 9
9 + 5 = 14
hellllppp please help me
Answer:
\(F' = (-3,-3)\)
\(G' = (-3,3)\)
\(H' = (6,-3)\)
Step-by-step explanation:
Given
The attached graph
\(Scale\ Factor = 1\frac{1}{2}\)
Required
Determine the coordinates of F'G'H'
First, we need to get the coordinate of F, G and H from the graph
\(F = (-2,-2)\)
\(G = (-2,2)\)
\(H = (4,-2)\)
The dilated coordinate is then calculated as:
\((FGH)' = (FGH) * Scale\ Factor\)
This gives:
\(F' = (-2,-2) * 1\frac{1}{2}\)
\(F' = (-2* 1\frac{1}{2},-2* 1\frac{1}{2})\)
\(F' = (-3,-3)\)
\(G' = (-2,2) * 1\frac{1}{2}\)
\(G' = (-2 * 1\frac{1}{2},2 * 1\frac{1}{2})\)
\(G' = (-3,3)\)
\(H' = (4,-2) * 1\frac{1}{2}\)
\(H' = (4 * 1\frac{1}{2},-2 * 1\frac{1}{2})\)
\(H' = (6,-3)\)
What is ab as shown in the attached question
Answer:
(c) -42
Step-by-step explanation:
You want the product ab given that ...
f(x) = 3x³ +ax² -5x +7g(x) = -3x⁴ +2x³ +3x² +bx +12(f+g)(x) = -3x⁴ +5x³ +9x² -12x +19Comparing coefficientsThe function (f+g)(x) is the sum of the other two functions. For the purpose here, we only need to look at terms that involve 'a' and 'b'.
Comparing coefficients of x², we have ...
ax² +3x² = 9x²
a = 9 -3 = 6
Comparing coefficients of x, we have ...
-5x +bx = -12x
b = -12 +5 = -7
The product is ...
ab = (6)(-7) = -42
Please help!!! 100 Points!!!!
Answer:
r = 4
Step-by-step explanation:
The general form of the equation is y=mx + b where m is the slope and b is the intercept. The problem tells us that the slope is -3. So we know that y=-3x+b
Let's use the known coordinate (-5,13) to solve for b.
y=-3x+b
13 = -3(-5) + b
13 = 15 + b
b = -2
So now we have the equation:
y=-3x-2
Let's use the other coordinate (-2,r) and solve for the unknown "r" (which is y):
y = -3*-2 - 2
y = 6 - 2
y = 4
So the answer is 4.
1. Five more than twice a number is 7.
Answer:
5+2n=7
Step-by-step explanation:
5+2n=7
7-5=2n
2=2n
2÷2=1
n=1
Find each sum or difference -1/2+1/3 please help quickly
Answer:sum: -1/6
Step-by-step explanation:
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Mathematics Diagnostic Assessment
1
Todd forgot the first two numbers of his locker combination. The numbers can be any number 1 through 6. What is the
probability that he will guess the first number correctly and the second number incorrectly?
OA.
OB.
O C.
கான்
OD.
Reset
Submit
Submit
Answer: 16.67% for question 1
83.33% for question 2
Step-by-step explanation:
1/6 as a percent is 16.67% because the is only 1 correct number
5/6 as a percent is 83.33% because there is 5 wrong numbers
Answer:
Step-by-step explanation: 1/36
An ice-cream factory makes 190 quarts of ice-cream in 10 hours how many quarts could be made on 12 hours what was that rate per day
Could i get help on this pla
Using the formula for the area of a rectangle, the area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
Calculating the area of the cellphoneFrom the question, we are to calculate the area of the cellphone shown in the diagram
From the given information,
We have a diagram that shows a cellphone which is rectangular in shape.
Thus,
We will use the formula for finding the area of a rectangle to calculate the area of the cellphone.
Area of a rectangle = Length * Width
From the given information,
Length of the cellphone = 6x²y⁶
Width of the cellphone = 3x⁻³y²
Thus,
Area of the cellphone = 6x²y⁶ × 3x⁻³y²
Area of the cellphone = 6 × 3 × x² × x⁻³ × y⁶ × y²
Area of the cellphone = 18 × x⁻¹ × y⁸
Area of the cellphone = 18x⁻¹y⁸ OR 18y⁸/x
Hence,
The area of the cellphone is 18x⁻¹y⁸ OR 18y⁸/x
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PLEASE HELP DUE NOW!!!
WILL MARK BRAINLIEST!!!
Answer: -10, 10
Step-by-step explanation:
first lets add the two equations. add the x's, add the y's, add the constants on the right.
we get
0x - 1y = -10
so then divide --10 by -1 because we do the opposite operations to both sides
and we get y = 10
now substitute y = 10 into the first equation
-10x - 9(10) = 10
and then we get -10x - 90 = 10
now add 90 to both sides
-10x = 100
divide 100 by -10
x = -10
y = 10
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EPIC. STAY EPIC AND AWESOME FRIEND.
Khalil signed up for a streaming music service that costs $11 per month. The service allows Khalil to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $1 per song. How much total money would Khalil have to pay in a month in which he downloaded 45 songs? How much would he have to pay if he downloaded
�
s songs?
The total cost of downloading 20 songs is $45.
The total cost of downloading ss songs is $11 + $1.0ss.
What does the word "cost" mean?
During the manufacturing or production of a company's goods and services, every expense incurred by the company is referred to as a cost.
In simplest terms, it is the amount of money that businesses invest in buying and selling goods.
The total cost of the of downloading songs is the sum of the fee per month and the cost of downloading songs.
Total cost of downloading 45 songs = cost per month x cost of downloading 45 songs
$11 + ($1 x 45)
$11 + $45
$56
Total cost of downloading ss songs = $11 + ($1 x ss)
$11 + $1ss
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Points A (4, 3), B (6, 4), C (5, 6) and D (3, 5) are the vertices of a square ABCD. The square ABCD is reflected about the line through (0, 0) and (-2, 2). Find the vertices of the image of the square ABCD and present both the figures on the same graph.
The vertices of the reflected square.
Let's calculate them:
A' = (-0.914, 3.914)
B' = (-2.828, 5.828)
C' = (-0.086, 7.086)
D' = (1.828, 5.172)
The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:
Find the equation of the reflection line:
The reflection line passes through (0, 0) and (-2, 2).
We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):
m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.
Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:
y - 0 = -1(x - 0)
y = -x.
Find the midpoint of each side of the square:
The midpoints of the sides of a square are also the midpoints of its diagonals.
The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).
The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).
The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).
The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).
Reflect the midpoints about the line:
To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.
The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:
d = (y + x) / √(2).
The coordinates of the reflected points can be found using the formula for reflection across a line:
x' = x - 2d / √(2)
y' = y - 2d / √(2).
Calculate the reflected vertices:
The coordinates of the reflected vertices are as follows:
A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))
B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))
C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))
D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))
Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.
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what are the coordinates of the terminal point for 0=5pie/6
Answer:
P(\(\frac{5\pi }{6}\)) = ( -\(\sqrt{3} / 2\) , \(1/2\) )
Step-by-step explanation:
Cos \(\frac{5\pi }{6}\) = \(\sqrt{3} / 2\)
Sin \(\frac{5\pi }{6}\) = \(1/2\)
Since \(\frac{5\pi }{6}\) lies in Quadrant II , So Cos \(\frac{5\pi }{6}\) < 0, Sin \(\frac{5\pi }{6}\) > 0
So,
The coordinates are P(\(\frac{5\pi }{6}\)) = ( -\(\sqrt{3} / 2\) , \(1/2\) )
Answer:
\(p(\frac{5 \pi}{6} ) = (- \frac{\sqrt{3} }{2} , \frac{1}{2} )\)
Step-by-step explanation:
\(cos(\frac{5 \pi}{6} )=\frac{\sqrt{3} }{2}\)
\(sin(\frac{5 \pi}{6} ) = \frac{1}{2}\)
(5π)/6 is in quadrant II, so..
\(cos(\frac{5 \pi}{6} ) < 0\)
\(sin(\frac{5 \pi}{6} ) > 0\)
The points are:
\(p(\frac{5 \pi}{6} ) = (- \frac{\sqrt{3} }{2} , \frac{1}{2} )\)
Please help, I'll give brainliest
Answer:
76+2x=90
2x=90-76
2x=14
x=14/2
x=7
write square root of 5 x square root 10 in the form of b square root of 2 where b is an integer
simplify fully square root of 27 x square root of 75
Answer:
a)b= 5
b)45
Step-by-step explanation:
a) 5 times ten is 50 . the two factors of 50 are 25 and 2. The square root of 25 is 5, so that's the answer.
b) 27 × 75 is 2025 and the base root is 45², then with the radical and exponent we reduce the index by 2 to get 45.
\(\textbf{a)}\\\\~~~\sqrt 5 \times \sqrt{10}\\\\=\sqrt{5} \times \sqrt{5 \times 2}\\\\=\sqrt{5} \times \sqrt 5 \times \sqrt 2\\\\=\left(\sqrt 5 \right)^2 \times \sqrt 2\\\\=5\sqrt 2\\\\\text{It is now in a form of} ~ b\sqrt2 ~ \text{where} ~b = 5.\\\\\\\)
\(\textbf{b)}\\\\~~~\sqrt{27} \times \sqrt{75}\\\\=\sqrt{9 \times 3} \times \sqrt{25 \times 3}\\\\=\sqrt 9 \times \sqrt 3 \times \sqrt{25} \times \sqrt 3\\\\=3\times 5 \times \left(\sqrt 3 \right)^2\\\\=15 \times 3\\\\=45\)
If a polynomial has one root in the form a-V6, it has a second root in the
form of a _Vb.
Answer:
radical form, they occur as two conjugates.
That is,
The conjugate of (a + √b) is (a - √b) and vice versa.
To show that the given conjugates come from a polynomial, we should create the polynomial from the given factors.
someone please help me
mq/t=s/v solve for t
Answer:
t = mqv/s
Step-by-step explanation:
see pic for explanation
On a coordinate plane, 2 triangles are shown. Triangle 1 has points at A (negative 3, 4), B (negative 2, 1), C (negative 4, 1). Triangle 2 has points at A prime (4, negative 2), B prime (3, negative 5), C prime (5, negative 5).
Which rule represents the translation from the pre-image, ΔABC, to the image, ΔA'B'C'?
(x, y) → (x + 7, y + 6)
(x, y) → (x + 7, y – 6)
(x, y) → (x – 6, y + 7)
(x, y) → (x + 6, y + 7
Thus, the translation rule which represents the translation of pre-image, ΔABC, into the image, ΔA'B'C is of : (x, y) → (x + 7, y – 6)
Explain about the translation:In geometry, a function that shifts an object a specific distance is referred to as translation. Nothing else is done to change the object. It is not scaled, reflected, rotated, or refracted.
Every point of such object must be translated by the same amount and in the same direction.
Given data:
coordinates of pre-image ΔABC:
A(-3,4), B(-2, 1) C(-4,1)
coordinates of image ΔABC:
A'(4,-2), B'(3, -5) C'(5,-5)
A(-3 + 7,4 – 6) - > A'(4,-2)
B(-2 + 7, 1 – 6) - > B'(3, -5)
C(-4 + 7,1 – 6) -> C'(5,-5)
Thus, the translation rule which represents the translation of pre-image, ΔABC, into the image, ΔA'B'C is of : (x, y) → (x + 7, y – 6)
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What reason can be used to complete this proof?
m∠1=m∠3 because ∠1≅∠3.
m∠1+m∠2=m∠CXB and m∠2+m∠3=m∠AXD _________.
m∠1+m∠2=m∠AXD because you can substitute m∠1 for m∠3.
m∠CXB=m∠AXD by the transitive property of equality.
So, ∠AXD≅∠CXB.
Answer:
Option (2)
Step-by-step explanation:
Given:
∠1 ≅ ∠3
To Prove:
∠AXD ≅ ∠CXB
Solution:
Given question is incomplete; find the complete question in the attachment.
Statements Reasons
1). m∠1 ≅ m∠3 because m∠1 ≅ m∠3 1). Given
2). m∠1 + m∠2 = m∠CXB and
m∠2 + m∠3 = m∠AXD 2). Angle addition postulate
3). m∠1 + m∠2 = m∠AXD 3). Because you can substitute
m∠1 for m∠3
4). m∠CXB = m∠AXD 4).Transitive property of equality
5). ∠AXD ≅ ∠CXB
Therefore, Option (2) will be the correct option.
The measure of an angle is 16 less than 3 times the measure of its complement. Find the measure of each angle
The measure of the angle are-
Angle = 63.5°Complement = 26.5°What is termed as the complement angle?The sum of the two angles' measurements determines their complement and supplement. If the sum of the two angles equals the measurement of a right angle, the angles are said to be complementary.Let the measure of the angle is 'x'.
Then, the complement of the angle will be (90 - x).
Three times the complement = 3(90 - x).
16 less than the thrice of complement = 3(90 - x) - 16
Thus,
a = 3(90 - x) - 16.
Simplifying the equation;
a = 270 - 3x - 16
4x = 254
x = 63.5° (Angle)
The complement of the angle; 90 - 63.5 = 26.5
Thus, the measure of the complement angle is 26.5°.
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What is the next value?
2 3 E 4 5 I 6 8
options: O 8 M N
Answer:
The correct answer is a.
Step-by-step explanation:
The sequence is: 2 3 E 4 5 I 6 8 We can notice that there are numbers and letters alternating in the sequence. The numbers are increasing, and the letters seem to be vowels in alphabetical order. So, the next value should be a letter (vowel) after I, which is O. The correct answer is a.
i need help with these 9 questions they’re pretty simple
Answer:
1. n = 4
2. n = -29
3. n = -28
4. n = -48
5. n = -22
6. n = 97
7. n = 220
8. n = -18
9. n = 36
Step-by-step explanation:
1. -n = -4
Multiply both by -1 to get n = 4
2. 12 + n = -17
Subtract 12 from both sides of the equation to get n = -29
3. -n/14 = 2
Multiply by 14 on both sides of the equation to get -n = 28
Multiply -1 on both sides of the equation to get n = -28
4. -42 = n + 6
Subtract 6 from both sides of the equation to get -48 = n or n = -48
5. -4n = 88
Divide -4 on both sides of the equation to get n = -22
6. n + -3 = 94
Add 3 to both sides of the equation to get n = 97
7. 11 = -n/-20
Multiply by -20 on both sides of the equation to get -220 = -n or -n = -220
Multiply -1 on both sides of the equation to get n = 220
8. -108 = 6n
Divide by 6 on both sides of the equation to get -18 = n or n = -28
9. 67 = 31 + n
Subtract 31 from both sides of the equation to get 36 = n or n = 36
I Hope That This Helps! :)
Select the correct answer from each drop-down menu.
The total area of the three triangles is
square units.
The area of the figure is
square units.
The total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
What is the triangle?The triangle can be defined as a three-sided polygon in geometry, and it consists of three vertices and three edges. The sum of all the angles inside the triangle is 180°.
From the figure, the area of triangles can be calculated using the:
Area = (1/2)height×base length
Area of three triangle = 1/2(4×6) + 1/2(6×4) + 1/2(4×6)
Area of three triangle = 1/2(24×3) = 36 square units
Area of the figure = area of three triangle + area of the rectangle
= 36 + 6×4
= 60 square units
Thus, the total area of the three triangles is square units is 36 and the area of the figure is square units is 60.
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A local road rises 15 feet for every 309 feet of highway . What is the slope of the highway
What is the sum of all interior angles of a 35-sided regular polygon?
6,120°
5,940°
180°
170°
Answer:
OptionB) \(5940\)
Step-by-step explanation:
Formula to Find the Interior Angles of Any Polygon
\((n-2)\)x\(180\)
\((35-2)X180\\5940\)
Answer:
The formula that calculates the sum of the interior angles of a regular polygon is equal to : (n-2)180° ; n represents the number of sides of the polygon.
So now, we've to replace n by 35 in the formula :
(35-2)180°
And by carrying out the calculation, we obtain: 5940°.
Therefore, the sum of all the interior angles of a regular 35-sided polygon is 5940°.
i need to know the answer for this please
What's the Area for each shape?
Answer:
\((6 \times 5) + (2 \times 3) \\ 30 + 6 \\ = 36cm^{2} \)