210 is 21 groups of ten. 240 is 24 tens
A, dilation because the shape got larger. The other three options just move it around
Answer:
y=(1/5)x-5
Step-by-step explanation:
The given equation is
y=(1/5)x+4
This is of the form
y=mx+b
which is called the slope-intercept form because
m is the slope
b is the y intercept.
In this case,
m=1/5
b=4
you can see from the chart that this matches the red line.
If two lines are parallel, they must have the same slope. So we know that the slope of the desired line is 1/5. So, now we know that
y=(1/5)x+b
Since the line must go through the point (5,-4), we have
-4=(1/5)(5)+b
-4=1+b
b=-5
So, the desired line is
y=(1/5)x-5
If the inscribed square has sides of 8in, the diameter of the circle is equal to the diagonal of the square.
d^2=x^2+x^2
d^2=2x^2
d=√(2x^2)
Since d=2r, r=d/2 so
r=(1/2)√(2x^2)
r=√((2x^2)/4)
r=√(x^2/2), since x=8
r=√(64/2)
r=√32
r=√(16*2)
r=4√2 in (exact)
r≈5.66 in (to nearest hundredth of an inch)
