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zysi [14]
3 years ago
10

Which of the points is not a solution to 3x+2y=11

Mathematics
1 answer:
allochka39001 [22]3 years ago
4 0
Answer : Option B

------------------------------
when x = -3 , check for y
------------------------------
3(-3) + 2y = 11
-9 + 2y = 11
2y = 11+9 
2y = 20
y = 10
The coordinate is (-3, 10)
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Answer:

\large\boxed{S.A.=1,000\ u^2}

Step-by-step explanation:

We have two congruent right triangles and three rectangles.

First, calculate the length of the hypotenuse using the Pythagorean theorem:

leg^2+leg^2=hypotenuse^2

We have

leg=8,\ leg=15,\ hypotenuse=h

Substitute:

h^2=8^2+15^2\\\\h^2=64+225\\\\h^2=289\to h=\sqrt{289}\\\\h=17

The formula of an area of a right triangle:

A_t=\dfrac{(leg)(leg)}{2}

Substitute:

A_t=\dfrac{(8)(15)}{2}=(4)(15)=60

The formula of an area of a rectangle:

A=wl

w - width

l - length

Rectangle 1:

w = 15, l = 22

A_1=(15)(22)=330

Rectangle 2:

w = 17, l = 22

A_2=(17)(22)=374

Rectangle 3:

w = 8, l = 22

A_3=(8)(22)=176

The Surface Area of the triangular prism:

S.A.=2A_t+A_1+A_2+A_3

Substitute:

S.A.=2(60)+330+374+176=1,000

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