The similar circles P and Q can be made equal by dilation and translation
- The horizontal distance between the center of circles P and Q is 11.70 units
- The scale factor of dilation from circle P to Q is 2.5
<h3>The horizontal distance between their centers?</h3>
From the figure, we have the centers to be:
P = (-5,4)
Q = (6,8)
The distance is then calculated using:
d = √(x2 - x1)^2 + (y2 - y1)^2
So, we have:
d = √(6 + 5)^2 + (8 - 4)^2
Evaluate the sum
d = √137
Evaluate the root
d = 11.70
Hence, the horizontal distance between the center of circles P and Q is 11.70 units
<h3>The scale factor of dilation from circle P to Q</h3>
We have their radius to be:
P = 2
Q = 5
Divide the radius of Q by P to determine the scale factor (k)
k = Q/P
k = 5/2
k = 2.5
Hence, the scale factor of dilation from circle P to Q is 2.5
Read more about dilation at:
brainly.com/question/3457976
Answer:
The value of x is 5 centimeters.
Therefore, option 3 is correct.
Step-by-step explanation:
A triangle has three sides 3,x and 4 cms
Since the triangle is right angle triangle so, it will follow the Pythagoras theorem:
(1)
We have been given three sides x,3 and 4
On substituting the values in (1) we get:
Hence, the value of x is 5 centimeters.
Therefore, option 3 is correct.
Please look at the attachment for the figure.
y2-y1 -8-24 -32 -1*2*2*2*4 16
M= --------- = ----------- = ------ = --------------- = ------
x2-x1 16-(-18) -2 -1*2 1
Answer:
x=16
Step-by-step explanation:
50+40=90
40-8=32
32/2=16
x=16
Answer:
V=210 square inches
Step-by-step explanation:
Volume formula for a rectangular prism is V=lwh
So Volume=Length x Width x Height
V= 14 x 10 x 1.5
V=210 square inches
