Which expression represents eight times a number, v?
1 answer:
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The total surface area of the triangular prism that has a height of h and the side length of a is given below.
A triangular prism is a closed solid that has two parallel triangular bases connected by a rectangle surface.
A box is in the shape of an equilateral triangular prism.
If the box is to be covered with paper on its lateral sides.
Let a be the side length of the equilateral triangle and h be the height of the prism.
Then the surface area of the triangular prism will be
Surface area = 2 × area of triangle + 3 × area of the rectangle
The area of the triangle will be
The area of the rectangle will be
Then the total surface area will be
More about the triangular prism link is given below.
Answer/Step-by-step Explanation:
1. 3x - 10 +4 if x = 3
To evaluate, plug in the value of x in the expression given
3(3) - 10 + 4 = 9 - 10 + 4
= 3
2.
if x = -12
- 6 - 72 = - 78
3. 8(x - y), if x = 2, y = 6
8(2 - 6) = 8(-4) = -32
4. x + xy, if x = 3, y = -2.5
3 + (3)(-2.5) = 3 + (-7.5)
= 3 - 7.5 = - 4.5
5. (2x)² + 6, if x = -2
(2*-2)² + 6 = (-4)² + 6
= 16 + 6 = 22
6. 3x + 4y - 3x, if x = 2, y = 4
3(2) + 4(4) - 3(2) = 6 + 16 - 6
= 16
7.
If x = -2
20 + (-2) = 20 - 2 = 18
8. 3(8x - 10) + 5x, if x = ½
3(8*½ - 10) + 5(½)
3(4 - 10) + 2.5
3(-6) + 2.5 = -18+2.5 = - 20.5 or 20½
9. x + 8y - (x)², if x = -5, y = ¼
-5 + 8(¼) - (-5)² = -5 + 2 - (25)
= -3 - 25 = -28
10. (8x)² + 6x + 2, if x = -3
(8*-3)² + 6(-3) + 2 = (-24)² - 18 + 2
= 576 - 18 + 2 = 560
11. 2x² + 4y² + xy, if x = ½, y = 2
2(½)² + 4(2)² + (½)(2)
= 2(¼) + 4(4) + 1
= ½ + 16 + 1 = ½ + 17 = 17½
12. 8x + 2y, if x = 1.5, y = -2.2
8(1.5) + 2(-2.2)
12 - 4.4 = 7.6
13.
if x = 8.
= 5 + 4 = 9
14. 3x - 8x² + 7, if x = 4.5
3(4.5) - 8(4.5)² + 7
13.5 - 8(20.25) + 7
13.5 - 162 + 7 = -141.5
15. -2x² + 8y, if x = 3, y = -9
-2(3)² + 8(-9)
-2(9) - 72 = - 18 - 72 = 90
16. (-5x)² - 3x + x, if x = -3.5
(-5*-3.5)² - 3(-3.5) +(-3.5)
(17.5)² + 10.5 - 3.5
306.25 + 10.5 - 3.5 = 313.25
