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:
x1= -6 x2=6
Step-by-step explanation:
x^2-10 = 26
x^2 = 26 +10
x^2 = 36
x = sqrt(36)
x = -6 or x = 6 because both 6 and -6 squared are equal to 36
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Answer:
A'(-4, -4), B'(6, -4), parallel
Step-by-step explanation:
The dilation factor multiplies each of the coordinate values. The line that was y=-2 becomes the line y=-4, a parallel horizontal line.
15/1 multiply by 4 to get the same denominator =
45/4 45 divided by 3 = 15 3/4 cups are needed which equals 45/4 cups of milk
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<u>To</u><u> </u><u>Find</u><u> </u><u>:</u><u>-</u><u> </u>
<u>S</u><u>o</u><u>l</u><u>u</u><u>t</u><u>i</u><u>o</u><u>n</u><u> </u><u>:</u><u>-</u><u> </u>
<u>☆</u><u> </u>When a negative digit is multiplied with negative digit then the result comes as positive digit .
→ x × y = (-12)(-3)
→ x.y = 36
So the answer is 36.