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Alexeev081 [22]
2 years ago
14

Describe fully the single transformation which takes shape A to shape B.

Mathematics
1 answer:
fredd [130]2 years ago
5 0

You have the correct answer. Apply a 180 degree rotation around the point (0,2)

Reason:

We'll connect corners between figures A and B.

Draw a line from the upper right corner of figure A to the lower left corner of figure B. This line is in red (see diagram below).

Draw another line from the lower right corner to the upper left corner. This line is in blue.

The red and blue lines intersect at the center of rotation (0,2)

The line segments constructed consist of endpoints of "before" and "after". For instance, the upper right corner in figure A rotates to the lower left corner of figure B. This happens because of the 180 degree rotation.

Note: You can do this rotation either clockwise or counterclockwise, and you would get the same result.

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Write the unit rate and the rate 15 points scored in 4 quarters
Trava [24]
You first divide both numbers by 4 to get one quarter which is the unit, and to get the rate, you divide 15 by 4 also. i got the unit rate is 3.75 points oer quarter.
3 0
3 years ago
Five times a complement of an angle exceeds twice its supplement by 9. Find the angle
kkurt [141]

Answer:

33

Step-by-step explanation:

the answer is in the above image

4 0
3 years ago
A bag contains yellow marbles and red marbles, 23 in total. The number of yellow marbles is 4 less than 2 times the number of re
Orlov [11]
First let’s express the total number of marbles as such:
y(yellow marbles) + r(red marbles)=23; y+r=23

now let’s express the relation of yellow marbles to red marbles:
y=2r(2 times red marbles) - 4(4 less marbles); y=2r-4

since we figured out what y equals, we can plug into the first equation we created:
(2r-4)+r=23

now solve for r:
2r-4+r=23
combine like terms
3r-4=23
add 4 to both sides
3r=27
divide both side by 3
r=9

plug r back into first equation and solve for y:
y+9=23
subtract 9
y=14

there are 9 red marbles and 14 yellow marbles!


3 0
3 years ago
Of all rectangles with area 324324​, which one has the minimum​ perimeter? Let P and w be the perimeter and​ width, respectively
ra1l [238]

Answer:

For w = 18 units perimeter is minimum

P = 2(18 + w)

Step-by-step explanation:

Given;

Area of the rectangle = 324 units²

P is the perimeter

w is the width

Let L be the length of the rectangle

therefore,

P = 2(L + w)  ............(1)

also,

Lw = 324

or

L = \frac{324}{w} ..........(2)

substituting 2 in 1

P = 2(\frac{324}{w} + w)

now,

for minimizing the perimeter

\frac{dp}{dw}=\frac{d(2(\frac{324}{w} + w))}{dw} = 0

or

2((-1)\frac{324}{w^2}+1) = 0

or

(-1)\frac{324}{w^2}+1 = 0

or

(-1)\frac{324}{w^2} = -1

or

w² = 324

or

w = 18 units

For w = 18 units perimeter is minimum

therefore,

from 2

L = \frac{324}{18}

or

L = 18 units

objective function for P is:

P = 2(18 + w)

8 0
3 years ago
Can anyone help me I don’t get it
elena-14-01-66 [18.8K]
The equation is y = -3/2
this is because the line crosses zero on the Y axis so there is no Y intercept

and to get the slope you just see how many units down & then right you need to get from the center point to the one more down
7 0
3 years ago
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