The endpoints of CD are C(–8, 4) and D(6, –6). What are the coordinates of point P on CD such that P is the length of the line s
egment from D? (–2.75, 0.25) (–5, 2.5) (0.75, –2.25) (3.75, –3.75)
2 answers:
If you graph the end points C and D then graph the 4 points at the end it is difficult to tell which points are on CD without a line.
Using the endpoints find the slope (change in y/ change in x) then substitute a point in to find the intercept.
Slope = (-6-4)/(6- -8) = -5/7
Intercept equation (-6) = -5/7 (6) + b
b = -1.71428571429
Graphing the line shows only 2 points on the line (–2.75, 0.25) and <span>(0.75, –2.25)
I am confused by the part, "</span><span>P is the length of the line segment from D". Were you given a length P to help you determine which point. Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given. The image shows the distances I calculated and the graphed points.
I hope this helps!</span>
Using the endpoints find the slope (change in y/ change in x) then substitute a point in to find the intercept.
Slope = (-6-4)/(6- -8) = -5/7
Intercept equation (-6) = -5/7 (6) + b
b = -1.71428571429
Graphing the line shows only 2 points on the line (–2.75, 0.25) and <span>(0.75, –2.25)
I am confused by the part, "</span><span>P is the length of the line segment from D". Were you given a length P to help you determine which point. Using the distance formula to find the length from each point to D doesn't help determine which one is best with the information you have given. The image shows the distances I calculated and the graphed points.
I hope this helps!</span>
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Answer: x = 27
Solution, showing all steps:
1) equation:
2) Clear the square root:
=>
=>
3) Square both sides of the equality:
=>
4) Clear x:
2x = 64 - 10
2x = 54
x = 54 / 2
x = 27.
5) Verify that this is not a straneous solutio, by replacing the solution in the equation:
Solution, showing all steps:
1) equation:
2) Clear the square root:
=>
=>
3) Square both sides of the equality:
=>
4) Clear x:
2x = 64 - 10
2x = 54
x = 54 / 2
x = 27.
5) Verify that this is not a straneous solutio, by replacing the solution in the equation:
Answer:
x = - 11
Step-by-step explanation:
Solving
(x + 5)² = 36 ( take square root of both sides )
x + 5 = ± = ± 6 ( subtract 5 from both sides )
x = - 5 ± 6
Then
x = - 5 + 6 = 1
x = - 5 - 6 = - 11
The other solution is x = - 11