1) 15/15 which is 1
2)100/30 which is 3 1/3
3)8.2
4) too long sorry
Answer:
Step-by-step Explanation:
==>Given:
Dimensions of a rectangular prism are expressed as follow:
Volume (V) = 15x² + x + 2
Height (h) = x²
==>Required:
Expression of the Base area (B)
==>Solution:
Volume (V) = Base (B) × Height (h)
15x² + x + 2 = B × x²
Divide both sides by x²
![\frac{15x² + x + 2}{x²} = B[tex]Base (B) = /frac{15x² + 1 + 2}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B15x%C2%B2%20%2B%20x%20%2B%202%7D%7Bx%C2%B2%7D%20%3D%20B%3C%2Fp%3E%3Cp%3E%5Btex%5DBase%20%28B%29%20%3D%20%2Ffrac%7B15x%C2%B2%20%2B%201%20%2B%202%7D%7Bx%7D)
Parallel lines, slope is the same so
1) 3x+8y = 12
8y = -3x + 12
y = -3/8(x) + 3/2, slope = -3/8
slope of a line that is parallel = -3/8
2)5x+4y = 5
4y = -5x + 5
y = -5/4(x) + 5/4; slope is -5/4
slope of a line that is parallel = -5/4
--------------------
perpendicular, slope is opposite and reciprocal
3)
3x+8y = 11
8y = -3x + 11
y = -3/8(x) + 11/8. slope = -3/8
slope of perpendicular line = 8/3
4)
x = -7, slope is undefined
so slope of perpendicular line is 0
5)
3x+2y = 12
2y = -3x + 12
y = -3/2(x) + 6 ; slope = -3/2
5x - 6y = 8
6y = 4x - 8
y = 2/3(x) - 4/3; slope is 2/3
slope is opposite and reciprocal, so the equals are perpendicular
6)
3x + y = 5
y = -3x + 5; slope = -3
6x + 2y = -15
2y = -6x - 15
y = -3x - 7.5; slope = -3
both have slope = -3 so equations are parallel
Either way you do it you always get 1500 as your answer.
Answer:
c
Step-by-step explanation:
