Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
48x - ky = 11
<u>-48x </u> <u> -48x</u>
-ky = -48x + 11
Slope: 
*************************************************************************
(k + 2)x + 16y = -19
<u>- (k + 2)x </u> -<u>(k + 2)x </u>
16y = -(k + 2)x - 19
Slope: 
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and are perpendicular so they have opposite signs and are reciprocals of each other. When multiplied by its reciprocal, their product equals -1.
* 
= -1
= 1
Cross multiply, then solve for the variable.
(k + 2)(k) = 16(48)
k² + 2k - 768 = 0
Use quadratic formula to solve:
k = -1 +/- √769
Answer:
the answer is 4,500kgm/s2
Step-by-step explanation:
force= mass × acceleration
Answer: 703.3125 in cubed
Step-by-step explanation:
The formula to find the volume of something is to…
1. Find the area of the base! Remember, area is length x width. In this case we would have 15.5 x 8.25 = 127.875
2. Multiply the base area we just found by the height! In this case, we take 127.875 x 5.5 and this gives us 703.3125 as our final answer!
Answer:
x = 2.95
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
0.45 plus 9x equals 27
0.45 + 9x = 27
<u>Step 2: Solve for x</u>
0.45 + 9x - 0.45 = 27 - 0.45
9x / 9 = 26.55 / 9
x = 2.95
Answer: x = 2.95
