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Mandarinka [93]
2 years ago
9

Square ABCD was translated using the rule (x. y) «-4,y + 15) to form A'B'CD. What are the coordinates of point

Mathematics
1 answer:
vesna_86 [32]2 years ago
6 0

Answer:

<em></em>(13,-23)<em></em>

Step-by-step explanation:

Given

Translation: (x,y) -> (x-4,y+15)

Required

Determine the pre-image of (9,-8)

In (9,8)

x = 9 and y = -8

So:

(x,y) -> (x-4,y+15)

Becomes

(9,8) ->(x-4,y+15)

By comparison:

x - 4 = 9

y + 15 = 8

Solving for (x):

x - 4 = 9

x = 9 + 4

x = 13

Solving for (y):

y + 15 = -8

y = -8 - 15

y = -23

<em>Hence, the pre -image has a coordinate of </em>(13,-23)<em></em>

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3 years ago
A triangular pyramid has a base shaped like an equilateral triangle. The legs of the equilateral triangle are all 20 inches long
Pie

Answer:

Surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches

Step-by-step explanation:

Recall the following result:

The total surface area(S) of a regular pyramid is given by,

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Area of equilateral triangle(B) = \frac{\sqrt{3} }{4} \times (side)^{2}

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Substitute the above values in equation (1) as shown below:

S=\frac{1}{2} \times 60 \times 13+100\sqrt{3}

S= 390+100\sqrt{3} square inches

Hence, the surface area of pyramid with base equilateral triangle is 390+100\sqrt{3} square inches.

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