Answer:
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Step-by-step explanation:
Using Pythagoras Theorem:

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<span>The correct answer is 2x</span>²<span>-16x+30.
Explanation<span>:
(p*q)(x) is a composition of the two functions p(x) and q(x); it is the same as p(q(x)). We replace every x in p(x) with our value of q(x), x-3:
instead of 2x</span></span>²<span><span>, we have 2(x-3)</span></span>²<span><span>, and instead of -4x, we have -4(x-3).
This gives us 2(x-3)</span></span>²<span><span>-4(x-3). This is the same as 2(x-3)(x-3)-4(x-3).
Multiplying, we have
2(x*x-3*x-3*x-3(-3))-(4*x-4*3)
=2(x</span></span>²<span><span>-3x-3x+9)-(4x-12)
=2(x</span></span>²<span><span>-6x+9)-4x+12.
Using the distributive property gives us
2*x</span></span>²<span><span>-2*6x+2*9-4x+12
=2x</span></span>²<span><span>-12x+19-4x+12.
Combine like terms, and we have 2x</span></span>²<span><span>-16x+30.</span></span>
The surface area of the triangular prism is 686.6 cm².
Step-by-step explanation:
Step 1:
The volume of a triangular prism can be determined by multiplying its area of the triangular base with the length of the prism.
The base triangle has a base length of 10 cm and assume it has a height of h m.
The volume of the prism
The height of the triangle is 8.66 cm.
Step 2:
The surface area of the triangle is obtained by adding all the areas of the shapes in the prism. There are 2 triangles and 3 rectangles in a triangular prism.
The triangles have a base length of 10 cm and a height of 8.66 cm. A triangles area is half the product of its base length and height.
The rectangles all have a length of 20 cm and a width of 10 cm. The area of a rectangle is the product of its length and width.
The area of the 2 triangles ![= 2 [\frac{1}{2} (10)(8.66)] = 86.6.](https://tex.z-dn.net/?f=%3D%202%20%5B%5Cfrac%7B1%7D%7B2%7D%20%2810%29%288.66%29%5D%20%3D%2086.6.)
The area of the 3 rectangle ![= 3[(20)(10)] = 600.](https://tex.z-dn.net/?f=%3D%203%5B%2820%29%2810%29%5D%20%3D%20600.)
Step 3:
The surface area of the triangular prism 
The surface area of the prism is 686.6 cm².
Answer:
no solutions
Step-by-step explanation:
if y=2x-5
and y=2x+7
2x-5=2x+7
-5 is not equal to 7