Answer:
A. -2
B. -10
Step-by-step explanation:
The slope of a perpendicular line will be the negative reciprocal of the slope of the given line:
-1/(1/2) = -2 . . . . slope of the perpendicular line
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The y-intercept will let the given point satisfy the equation ...
y = -2x +b
2 = -2(-6) +b
-10 = b . . . . . . . subtract 12. This is the y-intercept.
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The graph shows the two lines and the points they go through.
Step-by-step explanation:
I'll do the first one as an example.
"What are the coordinates of the point on the directed line segment from K(-5,-4) to L(5,1) that partitions the segment into a ratio of 3 to 2?"
Let's call the point we're trying to find P. Ratio of 3 to 2 means that the distance from K to P divided by the distance from P to L is 3/2.
KP / PL = 3 / 2
Which also means the horizontal distances and vertical distances between the points have a ratio of 3:2.
KxPx / PxLx = 3 / 2
KyPy / PyLy = 3 / 2
First, let's use the x coordinates:
(x − (-5)) / (5 − x) = 3 / 2
(x + 5) / (5 − x) = 3 / 2
2 (x + 5) = 3 (5 − x)
2x + 10 = 15 − 3x
5x = 5
x = 1
And now with the y coordinates:
(y − (-4)) / (1 − y) = 3 / 2
(y + 4) / (1 − y) = 3 / 2
2 (y + 4) = 3 (1 − y)
2y + 8 = 3 − 3y
5y = -5
y = -1
So the point P is at (1,-1).
Answer:
3
Step-by-step explanation:
1. One= $25 Two= $40 Three= $55
2. One= $35 Two= $45 Three= $55
Answer:
1) Same side exterior angles
2) Corresponding Angles
3) Alternate Interior Angles
4) Same Side Interior Angles
5) Linear Pair
6) Vertical Angles
7) Alternate Exterior Angles
hope this helped! and thanks for uploading the image
