Hello from MrBillDoesMath!
Answer: radius = 20
Discussion:
The distance between two complex points z1 ( = x1 + i y1) and z2 ( = x2 + iy2) is
sqrt ( (x1-x2)^2 + (y1-y2)^2)
In our case z1 = -10 - 1i and z2 = 6 + 11i. Per the above formula, the distance, or radius of the circle, is given by
sqrt ( (-10 - 6)^2 + ( -1 - 11)^2 ) =
sqrt ( ( -16)^2 + (-12)^2) ) =
sqrt ( 256 + 144) =
sqrt(400) =
20
Thank you,
MrB
The value of y when x = 5 is 45
<h3><u>Solution:</u></h3>
Given that y varies directly with x. This can be written mathematically as:
y ∝ x
---- eqn 1
Where "k" is the constant of propotionality
Given y = 27 when x = 3. Substitute these values in eqn 1

<h3>k = 9</h3>
Substitute k = 9 in eqn 1
y = 9x ----- eqn 2
<u><em>To find: y = ? and x = 5</em></u>
Substitute x = 5 in eqn 2

Thus the value of y when x = 5 is 45
Answer:
Step-by-step explanation:
First I think this is a test and second I don't know what you're asking for.But if you can explain those things then, you have my help.
<h3>
Answer is 5(6a+7)</h3>
=====================================
The GCF is 5, which can be factored out of the expression
Note how
30a = 5*6a
35 = 5*7
So we see the common factor between the two terms. You use the distribution property to pull out that 5. If you were do distribute the 5 back in, you'd get
5(6a+7) = 5*6a+5*7 = 30a+35
draw in the line, here are the points