Answer:
The other midpoint is located at coordinates (-9,-2) (Second option)
Step-by-step explanation:
<u>Midpoints</u>
If P(a,b) and Q(c,d) are points in , the midpoint between them is the point exactly in the center of the line that joins P and Q. Its coordinates are given by
We are given one endpoint at P(1,-2) and the midpoint at M(-4,-2). The other endpoint must be at an equal distance from the midpoint as it is from P. We can see both given points have the same value of y=-2. This simplifies the calculations because we only need to deal with the x-coordinate.
The x-distance from P to M is 1-(-4)=5 units. This means the other endpoint must be 5 units to the left of M:
x (other endpoint)= - 4 - 5 = - 9
So the other midpoint is located at (-9,-2) (Second option)
Multiply both sides by 4/3
x= 60 * 4/3
x= 80
Answer:
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- <u><em>The length of the image of the segment GH would be 5 units.</em></u>
Explanation:
You can use the <em>center of dilation</em> as your origin of coordintes.
Thus, the <em>point H</em> would have coordinates (0,0) and the <em>point G</em> (-1,0).
A <em>dilation</em> multiplies the coordinates by the <em>scale factor</em>. Hence:
- H = (0,0) → H' = 5 × (0,0) = (0,0)
- G = (-1,0) → G] = 5 × (-1, 0) = (-5, 0)
Thus, the length of the image of segment GH would be the distance from 0 to -5 in a number line, which is 5.
Answer:
Step-by-step explanation:
No. Starting out, Maria walks away from home at a constant speed (which we recognize because the graph is at first a straight line). Then she stops for a little while, turns around and heads for home at the same speed as before (positively sloped graph), level graph, negatively sloped graph).
C and d are going to be the answers to your question. >-< :)