When a line is perpendicular to another line, the slope is the negative reciprocal of the other line's slope. So in this case, the slope would be 1, since the negative reciprocal of -1 is 1/1 which is 1.
To find the y-intercept, you have to substitute the point (8,2) into y = mx + b
2 = 1(8) + b
b = -6
The equation is y = x - 6
Answer:
363
Step-by-step explanation:
125 +
238
____
3
1
125 +
238
____
63
125 +
238
____
363
Answer:
- Kyle, 67 mph
- Cooper, 62 mph
Step-by-step explanation:
Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.
Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.
Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)
Kyle is driving 67 mph; Cooper is driving 62 mph.
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<em>Alternate solution</em>
The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.
Answer:
Step-by-step explanation:
Anything raise to the power zero is 1
Therefore,

LHS = RHS
Hence Proved
Answer:
75º
165º
15º
255º
Explanation:
75º because half a circle is equal to 180º.
You know it is 165º because of the same reason.
You get the 15º from knowing that opposite angles are equal.
255º is a case of adding the angles.