Answers
Step-by-step explanation:
1. The midpoint formula says the coordinates of the midpoint are the average of the endpoints.
x = (x₁ + x₂) / 2
y = (y₁ + y₂) / 2
I'll do #2 and #3 as examples.
2. x = (-4 + 10) / 2 = 3
y = (6 + -10) / 2 = -2
So the midpoint is (3, -2).
3. x = (-3 + -6.5) / 2 = -4.75
y = (-8 + -4.5) / 2 = -6.25
So the midpoint is (-4.75, -6.25).
Related Questions
The number of dogs at the animal shelter is 150 less than the number of
cats. If there are 1450 dogs, d, and cats, c, all together. Which of the
system of equations can be use to find the number of cats are there?
Answers
Answer:
48, hope this helps!
17 less than a number X
Answers
Answer:
X-7
Step-by-step explanation:
Because I did algebra 1
Answer:
X-17
Step-by-step explanation:Its X-17 because it said 17 less than a number X. So its X-17 and variable comes first.
The table shows the length and width of a rectangle.
Dimension
-
Length
Width
Write a simplified expression for the perimeter of the rectangle.
+
units
I
X
÷
**
Measurement
(units)
3x + 6
2x - 4
O|C
dº √0 90 = = < > ≤ ≥ (0)
T
Answers
The simplified expression for the perimeter of the rectangle is 10x + 4.
What is Perimeter?Perimeter of a straight sided figures or objects is the total length of it's boundary.
It is defined for, squares, rectangles, triangles and other polygons.
Given is a rectangle.
Length of the rectangle = 3x + 6
Width of the rectangle = 2x - 4
The formula to calculate the perimeter of the rectangle is,
Perimeter of a rectangle = 2 (Length + Width)
= 2 (3x + 6 + 2x - 4)
= 2 (5x + 2)
= 10x + 4
Hence the perimeter of the rectangle is 10x + 4 units.
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Which of the following criteria are used when deciding upon the
inclusion of a variable? Check all that apply.
Group of answer choices
A-Theory
B-t-statistic
C-Bias
D-Adjusted R^2
Answers
the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.
When deciding upon the inclusion of a variable, the following criteria are commonly used:
A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.
B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.
C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.
D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.
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Which value of x makes the inequality -* < 8 true?
A
X = 32
B
X = 35
x = 34
D
= 2
Answers
Answer:
D: x = 2
Step-by-step explanation:
Go down the multiple choices answers and plug each value in for x until the inequality is true:
A:
1/4(32) < 8
1/4 × 32/1 < 8
32/4 < 8
8 < 8
8 is not less than 8 so this is false (8 = 8).
B:
1/4(35) < 8
35/4 < 8
8 3/4 < 8
8 3/4 is not less than 8 so this is false (8 3/4 > 8).
C:
1/4(34) < 8
34/4 < 8
8 2/4 < 8
8 2/4 is not less than 8 so this is false (8 2/4 > 8).
D:
1/4(2) < 8
2/4 < 8
2/4 is less than 8 so this is true (2/4 = 1/2 = 0.5 > 8).
Tiffany figures she can pay $1,000 a month for housing. She uses a mortgage calculator to figure out how big a mortgage she could afford. Tiffany sees that at current interest rates, a $150,000 mortgage would be a payment of $800, and her estimated tax payment each month would be $100. Tiffany thinks she can easily afford the $900 total monthly payment. Describe three costs she did not consider in her calculation.
Answers
1. Maintenance Costs: Tiffany did not consider the costs associated with maintaining her home such as replacing appliances, painting, and landscaping. These costs can add up quickly and can be difficult to budget for.
What is Maintenance Cost?Maintenance cost is the cost associated with the upkeep of a building, facility, system, or piece of equipment. This cost can include labor, materials, and other related expenses. Maintenance cost is a necessary expense for any business or organization, as it helps to ensure that assets remain in good condition and perform their intended functions for a long period of time. Maintenance costs are typically a part of the operating budget and are typically spread out over the life of the asset. To ensure proper asset maintenance, businesses and organizations must have a systematic approach to planning and budgeting for such costs.
2. Property Taxes: Property taxes can vary depending on the location of the home and can often be quite expensive. Tiffany did not consider these costs in her calculation.
3. Homeowners Insurance: Homeowners insurance is a necessity to protect yourself against any damages that may occur to the property. It is important to consider this cost when calculating the total cost of ownership.
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Natalie walked 3/5 mile in 1/2 hour . how fast did she walk in miles per hour
Answers
Answer:
(6/5) mph
Step-by-step explanation:
Darlene wrote this proof of the identity (x + y)2 - (x - y)² = 4xy. Which of the
following is a justification for Step 5 of her proof?
Step 1: (x + y)2-(x - y)² = (x+y)(x + y) - (x-y)(x-y)
Step 2: (x+y)(x+y) - (x - y)(x - y) = (x² + xy + xy + y²) - (x² - xy - xy + y²)
Step 3: (x² + xy + xy + y²) - (x² - xy - xy + y²)(x² + 2xy + y²) - (x² - 2xy + y²)
Step 4: (x² + 2xy + ²) - (x²2²-2xy + ²) = x² + 2xy + y² - x² + 2xy-j²
Step 5: x2 + 2xy + y2-x² + 2xy-y²= 4xy
Answers
Answer: Step 4: (x² + 2xy + y²) - (x² - 2xy + y²) = x² + 2xy + y² - x² + 2xy - y²
Step-by-step explanation:
The solution is : C. Combining like terms
What is the algebraic expression?Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.
here, we have,
we are given that
Darlene wrote this proof of the identity (x + y)2 - (x - y)2 = 4xy.
we have been asked to find
Which of the following is a justification for Step 3 of her proof?
Step 3 of her proof is
Step 3: (x² + xy + xy + y²) - (x² - xy - xy + y²) = (x² + 2xy + y²) - (x² - 2xy + y²)
As we can observe inside each of the paranthesis only like terms have been added. It mean the required justification is
C. Combining like terms
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Two congruent ellipses are perpendicular to each other. Squares fill the gaps between the two ellipses as shown. Show that the side of the square equals half the minor axis of the ellipse.
Answers
The side of the square equals half the minor axis of the ellipse.
To show that the side of the square is half the minor axis of the ellipse, we must prove that the angles of the ellipses and the squares are congruent. To do this, we must first draw in the diagonals of the square, which will form two additional isosceles triangles.
Since the ellipses are perpendicular, the angles of the ellipses and the squares will be the same. Since the angles of the isosceles triangles are equal, the side of the square must be equal to half of the minor axis of the ellipse. Therefore, the side of the square is equal to half of the minor axis of the ellipse.
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Select all expressions that are equivalent to 5% of 200.
А 1/20 X 200
B 1/5 x 200
С 1/2 • 200
D 10
E 5
Answers
D.10
To figure out what 5% of 200 is, you would multiply 200 by .05.
To figure out if 1/20 of 200 is 10, simply divide 200 by 20.
Hope that helps!
Please answer my question now in two minutes
Answers
Answer:
given,triangle EFG is congruent to triangle HIJ,THEIR corresponding sides are equal,
so, 10x=x+45
10x_x=45
or,9x=45
therefore , x=5
again,
3y = y+14
or, 3y_y=14
or, y=14/2
therefore the value of y is 7.
so the value of x is 5 and y is 7.
hope its helpful to uh...
Find the equation of a line in slope intercept form that passes through the points (-4,3) and (−6,−1).
Answers
Answer:
\(y=2x+11\)
Step-by-step explanation:
\(m=\frac{3-(-1)}{-4-(-6)}=2 \\ \\ y+1=2(x+6) \\ \\ y+1=2x+12 \\ \\ y=2x+11\)
4x < 2(x+5)
What is x
Answers
Answer:
so the answer must be 8
Step-by-step explanation:
4×-2(×+3)=8
Simplify the following algebraic expression: 2 (5 – 2w) - 6+3 (2w – 3z) + z
Answers
Answer: 2w - 8z + 4
Step-by-step explanation:
1. Distribute 2 to (5 - 2w)
10 - 4w
2. Distribute 3 to (2w - 3z)
6w - 9z
Revised expression: 10 - 4w - 6 + 6w - 9z + z
3. Combine like terms
2w - 8z + 4
A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount?
a) 0.30p
b) 0.70p
c) 1.30p
d) 30p
Answers
Answer:
Step-by-step explanation:
the answer is b
through: (2,-1), parallel to y=-2/3x-3
Answers
Given f(x) =4x +5, find f (-3).
Answers
Answer:
-7
Step-by-step explanation:
To find this out we just place -3 where x is
f(-3)=4(-3)+5
f(-3)= -12+5
f(-3)= -7
Hopes this helps please mark brainliest
Light travels 1.8x 10^7 kilometers in one minute. How far does it travel in 8 minutes
Answers
Answer:
Step-by-step explanation:
Distance covered in 1 minute= 1.8x 10^7 kilometers
So, by unitary method,
distance covered in 8 minutes= 1.8 x 10^7 kilometers x 8
= 14.4 x 10^7 kilometers
please also explain how
(3) How do you cut a 14 inch pizza into three pieces of equal area using two parallel cuts? (Assume the cuts are placed symmetrically from the center.)
Answers
To cut a 14-inch pizza into three equal area pieces using two parallel cuts placed symmetrically from the center, each piece will have an area of 150.
As we need to cut a 14-inch pizza into three pieces of equal area using two parallel cuts, we have to follow the steps given below
:Step 1: Cut the pizza with a line that goes through the center of the pizza and marks its diameter. This cut separates the pizza into two equal halves.
Step 2: The second cut needs to be made parallel to the first cut and needs to be at a distance of approximately 1/3 the diameter of the pizza from the first cut.
Step 3: Then, the pizza will be separated into three equal area pieces as required. As we have to cut the pizza into three equal area pieces, the area of each piece will be 150 square inches.
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grade 9 math
useing frist diff is this a linear relation yes or no show your work
Answers
Answer:
not linear since all first differences are not equal
Step-by-step explanation:
To find the first differences, subtract each y value from the next y value.
Use only y values.
here are the 4 first differences you need to calculate.
1 - 0 = 1
4 - 1 = 3
9 - 4 = 5
16 - 9 = 7
Now you place them in the appropriate column in the table.
x y first difference
0 0 1
1 1 3
2 4 5
3 9 7
4 16
If the first differences were all equal, the function would be a linear function.
In this case, the first differences are all different, 1, 3, 5, 7, so the function is not linear.
2x-3y=-9 x-5=-29 in the substitution form
Answers
Answer:
Step-by-step explanation:
point form:
(-24,-13)
Equation form:
x = -24 y = -13
The value of \(x\) and \(y\) is \(x=-24\) and \(y=-13\)
The two given equation are
\(2x-3y=-9\\x-5=-29\)
We need to find \(x\) and \(y\)
that is ,
\(x=-29+5\\x=-24\)
We can substitute the value of \(x\) in equation \(2x-3y=-9\)
that is ,
\(2(-24)-3y=-9\\-48-3y=-9\\-3y=-9+48\\-3y=39\\y=-13\)
The value of \(x=-24,y=-13\)
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The complete question is , Find the value of \(x\) and \(y\) if \(2x-3y=-9 , x-5=-29\) in the substitution form.
4x + 5 = 77 I'm writing this extra stuff because I need 20 characters
Answers
Answer:
x = 18
Step-by-step explanation:
4x + 5 = 77 ( subtract 5 from each side )
4x = 72 ( divide both sides by 4 (
x = 18
Keliy has $25 to spend on construction paper at the craft
store. If a package of construction paper costs $1.62, what is
the GREATEST number of packages Kelly can buy?
Answers
1.62 x 15= $24.30
Kelly can buy 15 packages.
Is the figure a translation?
Answers
Answer: yes
Step-by-step explanation: A translation is a transformation that slides a figure to a new position.
So in this problem, notice that we can slide the triangle on the top to the position of the triangle on the bottom.
So, this represents a translation.
The probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1,034 games played (as of a certain date). An upcoming monthly schedule contains 12 games.
a. What is the expected number of wins for the upcoming month? Let X = number of games won in November 2005.
b. Suppose X = N(3, 2). What value of x is two standard deviations to the right of the mean? (Enter an exact number as an integer, fraction, or decimal.)
c. Suppose X ∼ N(18, 3). Between what x values does 68.27% of the data lie? The range of x values is centered at the mean of the distribution (i.e., 18).
A. Between x = -3 and x = 3
B. Between x = 12 and x = 24
C. Between x = -17 and x = 18
D. Between x = 9 and x = 27
E. Between x = 15 and x = 21
.
Answers
The probability that the San Jose Sharks will win any given game is 0.3694 based on a 13-year win history of 382 wins out of 1,034 games played (as of a certain date).
An upcoming monthly schedule contains 12 games.a. Expected number of wins for the upcoming month:
Let X = number of games won in November 2005.The number of wins in a given game follows a Bernoulli distribution with probability of success p = 0.3694 and q = 1 - p = 0.6306.The expected number of wins in n Bernoulli trials is np.E(X) = npExpected number of wins for the upcoming month E(X) = 12 × 0.3694 = 4.4328
Therefore, the expected number of wins for the upcoming month is 4.4328.b. Suppose X = N(3, 2).What value of x is two standard deviations to the right of the mean? (Enter an exact number as an integer, fraction, or decimal.)
We have, μ = 3 and σ = 2Standard deviation is defined as the square root of the variance.The variance of the normal distribution is σ² = 2² = 4.Two standard deviations to the right of the mean means a z-score of 2.The z-score is calculated using the formula:
z = (x - μ) / σ2
= (x - 3) / 2x - 3
= 4x
= 7
Hence, the value of x is 7.c. Suppose X ∼ N(18, 3).
Between what x values does 68.27% of the data lie?We have, μ = 18 and σ = 3.68.27% of the data is within one standard deviation of the mean, which means the z-score is between -1 and 1.Using the formula: z = (x - μ) / σFor the lower limit, z = -1 -1 = (x - 18) / 3x = -3 + 18 = 15For the upper limit, z = 1 1 = (x - 18) / 3x = 3 + 18 = 21Hence, the data lies between x = 15 and x = 21.Therefore, the Answer is Option E: Between x = 15 and x = 21.
In summary, the expected number of wins for the upcoming month for San Jose Sharks is 4.4328. For X = N(3,2), the value of x is 7. For X ∼ N(18, 3), the data lies between x = 15 and x = 21.
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The probability that Colin buys a sandwich is 0.3.
The probability that Colin gets the bus is 0.7.
Assuming the events are independent, what is the probability that Colin buys a sandwich and gets the bus?
Answers
Answer:
0.21
Step-by-step explanation:
For independent probalities, the chance of both things happening is their product. 0.3 * 0.7 = 0.21
what is the name of the sampling method in which every nth member of the population is chosen to be a part of the process? n is calculated by dividing the total population by the sample size.... a)simple random sampling b)systematic sampling c)snowball sampling d)stratified sampling
Answers
The sampling method in which every nth member of the population is chosen to be a part of the process is known as systematic sampling. The value of n is calculated by dividing the total population by the sample size. It is a statistical method of selecting elements from a population.
Systematic sampling is one of the probability sampling techniques in which a sample is selected from a larger population. It is a form of non-random sampling that allows researchers to establish an ordered, systematic way of selecting subjects from a population.Systematic sampling is often used when there is a large population and a need for simplicity in selecting a sample. This method is advantageous in terms of its ease of implementation and efficient sampling.
A disadvantage of this method is the possibility of a skewed sample if the periodicity of the population is not taken into account.A systematic sample can be obtained by arranging the population elements in a particular order, for instance, alphabetical or chronological order, and then selecting every kth element, where k = population size / sample size. This method of sampling has been proven to be more efficient than other sampling methods when there is a need to cover a large population.
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In the figure, .
∠AEB and ∠CED are congruent
.
∠AEC and ∠
are congruent by the Vertical Angles Theorem.
Answers
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Answer:
Answer:
∠AEC ≅ ∠BED by vertical angles theorem
Step-by-step explanation:
suppose you were to collect data for the pair of given variables in order to make a scatterplot. for the variables time spent on homework before an exam and the exam grade, which is more naturally the response variable and which is the explanatory variable?
Answers
The time spent on homework will be naturally more an explanatory variable and exam grade a response variable.
The Linear equation for a scatter plot y = mx+b has two variables i.e., a Dependent Variable [Y] and an Independent variable [X] .
A student who spends more time on his work and do it nicely will automatically get good exam grade . On the other side, a student who did'nt dedicate much time to the homework and carelessly does it , will obviously score a low exam grade.We can see that the exam grade is dependent on the time spent on the homework which naturally makes exam grade a response variable and time spent on home a independent thus an explanatory variable.
Hence, the time spent on homework will be naturally more an explanatory variable and exam grade a response variable.
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Thi i a pond in the hape of a prim. It i completely full of water. Colin ue a pump to empty the pond. The level goe down by 20cm in the firt 30min. How many minute until completely empty
Answers
This is a pond in the shape of a prism. It is completely full of water. Colin has to wait for the pond to completely empty is 2hrs and 30minutes.
We have a pond which is completely filled with the water.
Area of the side face ( trapezium shaped)
= 1/2 x (1.4 + 0.6) x 2
= 2 m²
Volume = area x height (here width)
V = 2x1 = 2 m³
The level goes down by 20cm in the first 30 mins
Volume of water that will be taken down =
=0.2 x 1 x 2
=0.4 m³ ( upper water will form cuboid face)
Now,
⇒0.4 m³ water is taken out in 30 minutes
⇒1 m³ water is taken out in 30/0.4 minutes
⇒2 m³ water is taken out in 30/0.4 x 2 minutes
⇒30x2/0.4
⇒150 minutes.
So the pond will be completely empty in 150 min that is 2hrs30mins.
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