please Translate the triangle.
Then enter the new coordinates.
A (-2,4)
(-3,2)
< 9.3 >
A'([?], [])
B'([ ].[])
C'([] [])
Answer:
A' (7,7)
B' (10,4)
C' (6,5)
Step-by-step explanation:
Add 9 to every x value and 3 to every y value.
Answer:
A'(7,7)
B'(10,4)
C'(6,5)
Step-by-step explanation:
⭐What is a translation?
a translation is a type of transformation you can do to a figure to shift the figure up/down and left/right.⭐What is the translation notation?
\(T_ < x,y > (ABC) = (A'B'C')\)\(T_ < x,y >\) tells you how much to move the figure left/right and up/down. x = left/righty = up/downThe problem tells us to translate ΔABC 9 units to the right, and 3 units up because it is inside the <>, and the numbers are positive.
To translate the vertices of ΔABC, we have to add the respective x and y coordinates of the translation rule to each vertecie of ΔABC.
A(-2,4):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieA'(-2+9, 4+3) = A'(7,7)B(1,1):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieB'(1+9, 1+3) = A'(10,4)C(-3,2):
Add the respective x and y coordinates of the translation rule to the coordinates of the vertecieC'(-3+9, 2+3) = A'(6,5)⭐if this response helped you, please mark it the "brainliest"!⭐
Question 4 of 5
Select the correct answer.
On a number line, point A is at -3.4 and point C is at 0.6. Point C divides AB in a ratio such that AC to CB is 4:7. What is the length of
AB?
O
AB = 4.2 units
AB = 11 units
AB= 2.8 units
AB= 7.6 units
Answer:
AB = 11 units
Step-by-step explanation:
a given ratio also tells us how many equally sized units there are in the whole (in this case the line).
the ratio 4:7 tells us therefore, that from the whole line 7 ratii units (of 7+4 = 11 ratio units) are on the side of CB.
4 ratio units (of the 11 ratio units) are on the side of AC.
AC is the distance between A and C.
that is
0.6 - -3.4 = 0.6 + 3.4 = 4 line units
aha ! the distance is 4 units on the number line, and the ratio tells us that AC is 4 ratio units.
so, line unit and ratio units are 1:1 the same.
that means that CB with 7 ratio units is then also 7 line units long.
so, the whole line AB is then 4 + 7 = 11 line units long.
Answer:
11 units
Step-by-step explanation:
correct on plato
Witch is a following radical to …
Answer:
B
Step-by-step explanation:
Part 1: 12% annual interest on 132000 for 8 days
Part 2: 12% annual interest on 106,750 for 20 days.
If it helps, it's a 5 year note. Assuming 365 days in a year.
The interest for Part 1 is approximately $385.10.
The interest for Part 2 is approximately $709.31.
To calculate the interest for Part 1 and Part 2The formula is as follows:
Interest is calculated as follows: Principal * Rate * Time
Where
Principal represents the starting sumThe interest rate is rateTime measures length in years.Part 1:
$132,000 is the principal.
(Decimal) Rate = 12% = 0.12
Time = 8 days/365 days.
How much interest is there in Part 1?
Interest is calculated as follows : $132,000 * 0.12 * (8/365) = $385.10
Therefore, the interest for Part 1 is approximately $385.10.
Part 2:
$106,750 as the principal
(Decimal) Rate = 12% = 0.12
Time = 20 days / 365 days.
How much interest will there be in Part 2
Interest is calculated as follows : $106,750 * 0.12 * (20/365) = $709.31
Therefore, the interest for Part 2 is approximately $709.31.
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:) Simplify 2^4 x 2^6 / 2^5
Answer:
2^5
Step-by-step explanation:
2^4 × 2^6 ÷ 2^5
= 2^10 ÷ 2^5
=2^5
Calculate the area of the given circle.
Answer:
63.59 (c)
Step-by-step explanation:
Formula: π\(r^{2}\)
Plug in data:
9cm is diameter and a radius is half a diameter so the radius is 4.5cm.
π x 4.5^2 = 63.59cm^2
Maggie bought a bag of candy for Halloween that weighed 183.517 grams . Her friend bought candy that weighed 1893.573 grams who had the heavier bag of candy ?
Amount of candy bought by Maggie = 183.517g
Amount of candy bought by her friend = 1893.573g
Clearly seen, that her friend has a heavier bag of candy.
Helena bought 4 packages of cat food
at a store. The weight of the food in
each package was 1.25 pounds. Helena
opened all 4 packages of cat food
and put 2
3 of the total amount of food
into a container. The expression below
represents the weight of the cat food Helena put into the
container: (4) (1.25) (2/3)
What is the total weight, in pounds, of
the cat food that Helena put into the
container?
show step by step
Answer:
3.33 pounds
Step-by-step explanation:
Total packages of cat food bought = 4
Weight of each package = 1.25 pounds
Helena opened all 4 packages of cat food and put 2 / 3 of the total amount of food into a container
The expression :
(4) (1.25) (2/3)
represents the weight of the cat food Helena put into the
container
What is the total weight, in pounds, of the cat food that Helena put into the container
The total weight of the food in the container = (4) (1.25) (2/3)
Approximately
= 3.33 pounds
1. Mr. C has a square soccer field. The length of the soccer field is 18 feet.
What is the area of the soccer field:,
What is the perimeter of the soccer field
Answer:
Area = 324ft²
Perimeter = 72ft
Step-by-step explanation:
Area of a square = length²
Area of a square = (18ft)² = 324ft²
Perimeter of a square = 4*length
Perimeter of a square = 4ft*18 = 72ft
the shortest side of a right triangle measures 7m. The lengths of the other two sides are Consecutive integers. What is the length of the other two sides?
The lengths of the other two sides of the right triangle are 24m and 25m, respectively.
Let's assume the consecutive integers representing the lengths of the other two sides of the right triangle are x and x + 1, where x is the smaller integer. We are given that the shortest side measures 7m. Now, we can use the Pythagorean theorem to solve for the lengths of the other two sides.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the lengths of the other two sides.
Using this theorem, we have the equation:
\(7^2 + x^2 = (x + 1)^2\)
Expanding and simplifying this equation, we get:
\(49 + x^2 = x^2 + 2x + 1\)
Now, we can cancel out \(x^2\) from both sides of the equation:
49 = 2x + 1
Next, we can isolate 2x:
2x = 49 - 1
2x = 48
Dividing both sides by 2, we find:
x = 24
Therefore, the smaller integer representing the length of one side is 24, and the consecutive integer representing the length of the other side is 24 + 1 = 25.
Hence, the lengths of the other two sides of the right triangle are 24m and 25m, respectively.
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what’s the slope intercept form of the equation of the line through the given points? (-2,-5), slope = 9/2
Answer:
y=9/2x+-5
Step-by-step explanation:
Raj is a champion marathon runner. He has measured the length of his practice route around his neighborhood and found that it is 6 3/5of a mile long. This afternoon he ran this route 3 2/3times before stopping. How many miles did he run? Write your answer as a mixed number!
Answer:
24 1/5 milesStep-by-step explanation:
Length of the route = 6 3/5 milesNumber of rounds = 3 2/3Distance?The distance is:
6 3/5 * 3 2/3 =33/5 * 11/3 = 11*11/5 = 121/5 = 24 1/5 milesAnswer:
24 1/5
Step-by-step explanation:
Length of the route = 6 3/5 miles
Number of rounds = 3 2/3
Distance?
The distance is:
6 3/5 * 3 2/3 =
33/5 * 11/3 =
11*11/5 =
121/5 =
24 1/5 miles
Two cars are traveling towards a hotel on the same road. From the edge of the hotel, 600 feet high, Spiderman sits on the rooftop thinking about the depression angle needed to reach each car. If the depression angle to the nearest car is 52 degrees, and the depression angle to the farther car is 46 degrees, how far apart must the two cars be from each other?
Make a sketch, solve the problem, and round your answer to the nearest hundredth of a foot.
The two cars must be approximately 177.34 feet apart from each other for Spiderman to have different depression angles to each car.
To find the distance between the two cars, we can use trigonometry and the concept of similar triangles. Let's denote the distance between Spiderman and the nearest car as d1 and the distance between Spiderman and the farther car as d2.
In a right triangle formed by Spiderman, the height of the hotel, and the line of sight to the nearest car, the tangent of the depression angle (52 degrees) can be used:
tan(52) = 600 / d1
Rearranging the equation to solve for d1:
d1 = 600 / tan(52)
Similarly, in the right triangle formed by Spiderman, the height of the hotel, and the line of sight to the farther car, the tangent of the depression angle (46 degrees) can be used:
tan(46) = 600 / d2
Rearranging the equation to solve for d2:
d2 = 600 / tan(46)
Using a calculator, we can compute:
d1 ≈ 504.61 feet
d2 ≈ 681.95 feet
The distance between the two cars is the difference between d2 and d1:
Distance = d2 - d1
Plugging in the values, we have:
Distance ≈ 681.95 - 504.61
Distance ≈ 177.34 feet
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Clarksville's zoo has two elephants. The male elephant weighs 4 1/2 tons and the female elephant weighs 5/6 of a ton. How much more does the male weigh than the female?
Answer:
The male would weigh 11/3 tons more than the female.
Step-by-step explanation:
I got 11/3 by subtracting 4 1/2 by 5/6 and got the difference of 11/3 which should be the answer for how much more the male weighs more than the female.
- Not sure if it's correct but hope it is, Please tell me if I'm right
what is the quotient of 8/9
and 2/3
Answer:
ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.
Step-by-step explanation:
Find the domain of the function f(x)=\(\sqrt{x^3-16x}\) . What is the least value of x in the domain?
Least Value=
Answer:
Please check the explanation.
Step-by-step explanation:
Given the function
\(f\left(x\right)=\sqrt{x^3-16x}\)
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.Now, determine non-negative values for radicals so that we can sort out the domain values for which the function can be defined.
\(x^3-16x\ge 0\)
as x³ - 16x ≥ 0
\(\left(x+4\right)\left(x-4\right)\ge \:0\)
Thus, identifying the intervals:
\(-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\)
Thus,
The domain of the function f(x) is:
\(x\left(x+4\right)\left(x-4\right)\ge \:0\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-4\le \:x\le \:0\quad \mathrm{or}\quad \:x\ge \:4\:\\ \:\mathrm{Interval\:Notation:}&\:\left[-4,\:0\right]\cup \:[4,\:\infty \:)\end{bmatrix}\)
And the Least Value of the domain is -4.
The dot plot shows the number of goals a hockey team scored in their last 11 games.
Answer:
what is the question
Step-by-step explanation:
I need a question
Answer:
Hello the answer is 15
Step-by-step explanation:
give me brainliest please
the national association of home builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. data containing the median income($1000s) and the median sale price($1000s) for a sample of 12 housing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. the following results were obtained
The results based on the information provided in the question will be as follows:
a) By using the analysis of variance (ANOVA) table,
MSE= 440.1/10 = 44.01
F = 2717.9/44.01 =61.756
b) To interpret the slope of regression model,
the slope represents that for each $1000 increase in the income of a family on an average sale price increase by 2184.3
c) To calculate the value of coefficient of determination and its interpretation,
0.712 and the lowest that coefficient of determination is 0 and highest is 1. Thus, here the coefficient is high.
d) By using regression equation,
Price = 11.8+2.18×income
Predicted value = (-11.8+2.18×20)×1000 = 31800
e) To compute, 95% confidence slope
= 2.1843/2.228×0.278 = 1.565;2.804
f) The linear relationship between income and price,
All the intervals above have a value of more than 0 therefore we can conclude that the slope is significant. Thus, we have sufficient evidence that at 0.05 level of significance the linear relationship between income and price is inter related.
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Note that the full question is:
The National Association of Home Builders ranks the most and least affordable housing markets based on the proportion of homes that a family earning the median income in that market could afford to buy. Data containing the median income $1000s) and the median sale price($1000s) for a sample of 12 honsing markets appearing on the list of most affordable markets were subjected to a simple linear regression analysis. The following results were obtained. The regression equation is price-11.8 +2.18 income Predictor Coef StDev Constant11.80 12.84 income 2.1843 0.2780 S 6.634 Analysis of Variance Source Regression 1 2717.9 2717 DF SS MS F P Residuni Eror 10 440. Total 1 3158.0 a. Using the snalysis of variance table, find MSE b. Interpret the slope of the regression model. the valus ul and interpret it d. Using the estimated regression equation, the value ofy ifx-$20,000 e. Compute 95% confidence al for the slope 43-1+2.2280T g. At the 0.05 level of significunce, is there evidence of a linear relationship between income and price
Help please thanks in advance
Graph the system of equations on your graph paper to answer the question.
{y=x−4y=−x+6
What is the solution for this system of equations?
Answer: (5 , 1)
Step-by-Step explanation:
hihi your problem is a system of question y = x-4 and y = -x+6 okay so graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!
y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right
y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left
once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!
the solution is x = 5 and y = 1 which is also (5 , 1)
hopefully this was helpful !
A certain state uses the following progressive
tax rate for calculating individual income tax:
Income
Range ($)
Progressive
Tax Rate
0-3000
2%
3001 - 5000
3%
5001 - 17,000
5%
17,001 and up
5.75%
Calculate the state income tax owed on a $90,000
per year salary.
tax = $[?]
Round your answer to the nearest whole dollar amount.
Enter
Answer:
$4918
Step-by-step explanation:
You want the tax owed on $90,000 using the given tax rate table.
Tax computationThe tax is the sum of the amounts of tax due in each income range.
tax = 0.0575(90,000 -17,000) +0.05(17,000 -5000) +0.03(5000 -3000) +0.02(3000)
= 0.0575(90,000) -(17000(.0575 -.05) +5000(.05 -.03) +3000(.03 -.02))
= 0.0575(90,000) -(127.50 +100 +30)
= 5175 -257.50 = 4917.50
Rounded to the nearest dollar, the tax due is $4,918.
__
Additional comment
The tax will be the maximum of ...
0.02x0.03x -30 . . . . . . . . . . applicable over 30000.05x -130 . . . . . . . . . .applicable over 50000.0575x -257.50 . . . . applicable over 17000You can compute them all and find the maximum, or you can choose the function applicable to the income amount. The result is the same.
<95141404393>
how would I solve this equation using the linear combination methodn=m+1m=2n+2
We must solve, using the linear combination method, the following system of equations:
\(\begin{cases}n=m+1 \\ m=2n+1\end{cases}\)(1) We reorder the variables in the equations such that the variables are ordered in columns
We rewrite the first equation in the following way:
\(\begin{gathered} n=m+1, \\ n-m=m+1-m, \\ n-m=1. \end{gathered}\)We rewrite the second equation in the following way:
\(\begin{gathered} m=2n+1, \\ m-2n=1, \\ -2n+m=1. \end{gathered}\)So, our system of equation is equivalent to:
\(\begin{cases}n-m=1 \\ -2n+m=1\end{cases}\)2) We solve for n
Summing both equations, we get:
\(\begin{gathered} (n-2n)+(m-m)=(1+1) \\ -n=2, \\ n=-2. \end{gathered}\)NOTE: When we sum the equations:
0. we sum the left side of eq. 1 with the left side of eq. 2,
,1. we sum the right side of eq. 1 with the right side of eq. 2,
3) We solve for m
We multiply the first equation by 2:
\(\begin{cases}2n-2m=2 \\ -2n+m=1\end{cases}\)Summing both equations, we get:
\(\begin{gathered} (2n-2n)+(-2m+m)=(2+1), \\ -m=3, \\ m=-3. \end{gathered}\)Answer
The solution of the system of equations is:
\(\begin{gathered} n=-2 \\ m=-3 \end{gathered}\)John is participating in a marathon that is 26 2 miles. His distance (d, in
miles) depends on his time (t, in hours). Which is an appropriate range for
this situation?
Answer:
0-27
Step-by-step explanation:
The range of a function is representative of the values on the y-axis. In this case, the graph will contain distance on the y-axis at is the dependent variable, while the independent variable is time.
We know that the minimum value of the distance will be 0, given that there can be no negative distance. Moreover, the maximum value is 26.2 miles, since the marathon will then be over. Therefore, a good range for the situation will be 0-27 miles.
I hope this helps. I am sorry if you get this wrong.
5) Find the area of a rectangle
with points at (-8,5), (2,5),
(2,-3) and (-8,-3).
Answer:
80 units
Step-by-step explanation:
So first i plotted all of the points. Then i connected all the dots until i made a rectangle. Then I counted what the length and height of the rectangle is. Since the length x height = the area, then i multiplied the measurements together. Then i got 80 units. Here is a picture below (sorry for the bad quality its night where i live)
Answer:
80 units²
Step-by-step explanation:
Given vertices of a rectangle:
A = (-8, 5)B = (2, 5)C = (2, -3)D = (-8, -3)As points A and D share the same x-coordinate, and points B and C share the same x-coordinate, the difference between the different x-coordinates is the length of the rectangle:
\(\begin{aligned}\implies \textsf{Length} & = x_B-x_A\\& = 2-(-8)\\& = 2+8\\& = 10\; \sf units\end{aligned}\)
As points A and B share the same y-coordinate, and points C and D share the same y-coordinate, the difference between the different y-coordinates is the width of the rectangle:
\(\begin{aligned}\implies \textsf{Width} & = y_A-y_D\\& = 5-(-3)\\& = 5+3\\& = 8\; \sf units\end{aligned}\)
Therefore:
\(\begin{aligned}\textsf{Area of a rectangle} & = \sf width \times length\\&=8 \times 10\\&=80 \sf \; units^2\end{aligned}\)
Need help on this volume/surface area
8. Answer:
Imagine opening the Triangular prism
We will have 2 triangles at the base
and 3 rectangles
The sides of the triangle : base 9in, height 3in
Area of Triangle
= \(\frac{1}{2} * base * height = \frac{1}{2} * 9*3 =\frac{27}{2}\)
Now the rectangles
Rectangle1 with sides 9in and 15in, Area = 9*15 = 135
Rectangle 2 with sides 5in and 15in , Area = 5*15 = 75
Rectangle 3 with sides 6in and 15in, Area = 6*15 = 90
Now the total area of the prism
= \(\frac{27}{2}+\frac{27}{2}+135+75+90 = 27+ 135+75+ 90 = 327in^{2}\)
What is -4/7 as an equivalent fraction
Answer:
There are many answers
Step-by-step explanation:
So, since we are finding the equivalent fraction there can be many answers
Here are 5 answers that can help you
• -8/14
• -12/21
• -16/28
• -40/70
• -24/42
A line segment has endpoints E(–2, 8) and F(10, –6). What is the midpoint? ( , )
The midpoint of the line segment with the endpoints is (4, 1)
How to determine the midpoint of the line segment with the endpoints?The endpoints are given as:
E= (-2,8) and F = (10, -6)
The midpoint of the line segment with the endpoints is calculated as
Midpoint = 0.5 * (x1 + x2, y1 + y2)
So, we have:
Midpoint = 0.5 * (-2 + 10, 8- 6)
Evaluate the sum
So, we have:
Midpoint = 0.5 * (8, 2)
Evaluate the products
So, we have:
Midpoint = (4, 1)
Hence, the midpoint of the line segment with the endpoints is (4, 1)
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If you deposit $2000 in an account earning 3% interest compounded monthly, how much will you have in the account in 20 years?
Select Yes or No to state whether each data set is likely to be normally distributed
Answer:
No
Step-by-step explanation:
no more animals in zoo
no average of animals at San Diego zoo is high
no visitors are more than 2k
Answer:
Step-by-step explanation:
average age of an elephant at a zoo- YES
number of elephants at the San Diego Zoo- NO
number of daily visitors at the San Diego Zoo- YES
took the test :)
627 x 26
how do you solve this problem using standard algorithm
627 x 26 equals 16,302 when solved using the standard algorithm.
The steps below can be used to solve the multiplication issue 627 x 26 using the conventional algorithm:
627 and 26 should be written one above the other, with the larger number appearing above and the smaller number beneath.
Start by adding each digit of the top number to the ones digit of the bottom number (six). Write the answers below the line after multiplying 6 by 7 and then by 2.
1254 -- a 6 x 7 partial product
1254 -- a half 6 x 2 product
Repeat the process by moving the bottom number one position to the left after that. Multiply 2 by 7 and then by 2, and then write the results one space to the left of the line below the line.
1254 x 627
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