13-11 = 2
15-13 = 2
17-15 = 2
As you can see, the numbers increased by two. hence the answer is 2.
Answer: k = -1 +/- √769
<u>Step-by-step explanation:</u>
48x - ky = 11
<u>-48x </u> <u> -48x</u>
-ky = -48x + 11
Slope:
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(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:
midpoint is the answer.....
3/3 = 1
4/4 = 1
1 × 1 = 1
3/3 × 4/4 = 1
Answer:
Step-by-step explanation:
Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be
8.2x + 7.7y
Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is
(8.2 × 3) + (7.7 × 7)
= 24.8 + 53.9
= $78.7