Answer:
Step-by-step explanation:
The formula of a slope:
We have the points (-3, 5) and (-1, 4). Substitute:
a) The gradient of a line perpendicular to AB is -2.
b) equation of line is y=-2x+6
<h3>What is gradient?</h3>
The gradient is the measure of the steepness of a straight line.
a)The gradient of line is
=(-2-2)/(7+1)
=-4/8
=-1/2
So, gradient of a line perpendicular to AB is -2
b)The coordinates of mid point (3, 0)
m = -2
So,
0= -6+ b
b= 6
So, equation of line is y=-2x+6
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Answer:
The length of segment QM' = 6
Step-by-step explanation:
Given:
Q is the center of dilation
Pre-image (original image) = segment LM
New image = segment L'M'
The length of LQ = 4
The length of QM = 3
The length of LL' = 4
The original image was dilated with scale factor = 2
QM' = ?
To determine segment QM', first we would draw the diagram obtained from the given information.
Find attached the diagram
When a figure is dilated, we would have similar shape in thus cars similar triangles.
Segment L'M' = scale factor × length of LM
Let LM = x
L'M' = 2x
Using similar triangles theorem, ratio of their corresponding sides are equal.
QM/LM = QM'/L'M'
3/x = QM'/2x
6x = QM' × x
Q'M' = 6
The length of segment QM' = 6
Answer:
1 = 144
2 = 80
3 = 192
4 = 1209.6 or 1209
5 = 375
Step-by-step explanation: