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sergij07 [2.7K]
3 years ago
10

Find x if Q is the midpoint of PR, PQ-19, and PR 8x + 14a. 14. B7C 3. D5​

Mathematics
1 answer:
Sonja [21]3 years ago
3 0

Answer:

Step-by-step explanation:

If Q is the midpoint of PR and PQ is 19, that means that QR is also 19 and the total length of PR is 38. Therefore,

PQ + QR = PR and

19 + 19 = 8x + 14 and

38 = 8x + 14 and

24 = 8x so

x = 3

Your choice is C

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What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

Answer:

y = \frac{1}{2}x - 8

Step-by-step explanation:

1. Approach,

For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

Substitute in the slope,

y = \frac{1}{2}x + b

Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

3. Putting it all together,

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y = \frac{1}{2}x - 8

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