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slamgirl [31]
3 years ago
11

HELP PLZ!

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0

<u>Solution-</u>

In order to get A'B'C' from ABC we have to do two steps,

they are

1- First we need to rotate the triangle around its own vertex C (-1 , 3)

2- Then moving the triangle 4 units downwards we will get the desired triangle.

After doing the first step the new co-ordinates of A,B,C  will be,

(-2 , 4),(2 , 1) and (-1 , 3)

Then moving the triangle 4 units downward (i.e subtracting from y co-ordinate as we are moving in -ve y direction), the co-ordinates will be,

A' = (-2 , -3)

B' = (2 , -3)

C' = (-1 , -1)



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Answer is C but can't figure it out.
lapo4ka [179]

Answer:

C. 2,940 ft³

Step-by-step explanation:

The building is composed of a triangular prism and a rectangular prism

Therefore,

Volume of air in the building = volume of the triangular prism + volume of the rectangular prism

Volume of triangular prism = ½*bhl

b = 4 yards = 4*3 = 12 ft

h = 15 - 9½ = 5½ = 5.5 ft

l = 20 ft

Volume of triangular prism = ½*12*5.5*20 = 660 ft³

Volume of rectangular prism = W*H*L

W = 4 yds = 12 ft

H = 9½ = 9.5

L = 20 ft

Volume of rectangular prism = 12*9.5*20 = 2,280 ft³

✔️Volume of air in the building = 660 + 2,280 = 2,940 ft³

4 0
3 years ago
What is the slope of the following equation?<br><br> y = -5x -2
Leno4ka [110]
The slope of the following equation is -5, the y- intercept is (0,-2).
6 0
3 years ago
Find the absolute maximum and minimum values of f(x.y)=x^2+y^2-2x-2y on the closed region bounded by the triangle with vertices
dem82 [27]

Try this suggested solution, note, 'D' means the region bounded by the triangle according to the condition. It consists of 6 steps.

Answers are underlined with red colour.

6 0
3 years ago
Complete the square to write 6x2 + 12x + 9 = 0 in the form of a(x − b)2 = c; where a, b and c are integers.
MrMuchimi

Note that the formula is: ax² + b(x) + c =0

You are trying to write it in the form: a(x - b)² = c


Note that:

a = 6

b = 12

c = 9


Plug into corresponding places: 6(x - 12)² = 9


Because you are just telling us to write it in the form a(x − b)² = c, 6(x - 12)² = 9

is your answer




hope this helps


4 0
4 years ago
Ava's dog weights 52 kilograms. Marty's dog weights 3/4 as much. Find the weight of Marty's dog in kilograms.
cluponka [151]
Marty's Dog = (3/4) * 52kg
= 39kg
7 0
4 years ago
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