Answer:
109.9
Step-by-step explanation:
diameter of circle(d)=35
perimeter of circle(p)=?
we know,
p=pi d
=3.14×35
=109.9
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
You can't deduce the length of a side from the perimeters of a rectangle.
Say that
and
are, respectively, the short and long side of the rectangle.
So, we know that

But we can't solve exactly for
nor for
, unless more information is given.
<span>The graph of the equation is the set of all points that are solutions to the equation. The point (−6,7)(−6,7) is on the graph of the equation. True
</span><span>The graph of the equation is a single point representing one solution to the equation. not true
i 'm sorry idk the 3rd statement</span>
Answer:
y = -(x + 1)² + 4
Step-by-step explanation:
y = -x² − 2x + 3
First, factor the leading coefficient from the first two terms.
y = -(x² + 2x) + 3
Complete the square.
y = -(x² + 2x + 1 − 1) + 3
Simplify and factor.
y = -(x² + 2x + 1) + 1 + 3
y = -(x + 1)² + 4