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aliya0001 [1]
3 years ago
7

Solve.2x + 8y = 18y= -x + 6Enter your answer, in the form (x, y), in the boxes.​

Mathematics
1 answer:
iren2701 [21]3 years ago
5 0

Answer:

it is a simultaneous equation and I used Elimination method

2x + 8y = 18(equ \: 1) \\   y =  - x + 6 \:  \\ y + x = 6 \: (equ \: 2) \\  \\ from \:( equ2) \\  \:  x = 6 - y \: (equ \: 3 )\\ sub. \: (equ3) \: in \: (equ2) \\ 2(6 - y )+ 8y = 18 \\ 12 - 2y + 8y = 18 \\ 6y = 18 - 12 \\ 6y = 6 \\  \frac{6y}{6}  =  \frac{6}{6}   \\  y = 1 \\  \\ sub. \: y \: in \: equ3 \\ x = 6 - y \\ x = 6 - 1 \\ x = 5 \\  \\  \\ y = 1 \:  \: x = 5

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What is the surface area of this triangular prism? The base of each triangle is 42 m and the height of the triangular base is 20
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<u>Given</u>:

The base of each triangular base is 42 m.

The height of each triangular base is 20 m.

The sides of the triangle are 29 m each.

The height of the triangular prism is 16 m.

We need to determine the surface area of the triangular prism.

<u>Surface area of the triangular prism:</u>

The surface area of the triangular prism can be determined using the formula,

SA=bh+(s_1+s_2+s_3)H

where b is the base of the triangle,

h is the height of the triangle,

s₁, s₂ and s₃ are sides of the triangle and

H is the height of the prism.

Substituting the values, we get;

SA=(42)(20)+(42+29+29)(16)

SA=840+(100)(16)

SA=840+1600

SA=2440

Thus, the surface area of the triangular prism is 2440 m²

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