The equation of a circle is written as (x-h)^2 +(y-k)^2 = r^2
h is the x value of the center and k is the y value of the center and r is the radius.
Replace h, k and r with the given information:
(x- -7)^2 + (y - -6)^2 = 4^2
Simplify:
(x+7)^2 + (y+6)^2 = 16
Answer:
41.2310562562
Step-by-step explanation:
by use of calculator
Answer:
308[cos(45) + isin(45)]
Step-by-step explanation:
z1×z2:
Modulus: r1 × r2
= 7×44 = 308
Argument: theta1 + theta2
= -70 + 115 = 45
z1z2 = 308[cos(45) + isin(45)]
Or
z1z2 = 154sqrt(2) + (i)154sqrt(2)
sqrt: square root
Answer:
16
Step-by-step explanation:
The distance is given by
d = sqrt( (x2-x1) ^2 + ( y2-y1) ^2)
Since the x values are the same
d = sqrt( ( y2-y1) ^2)
d = sqrt( (( -6 - 10)^2))
d = sqrt((-16) ^2)
d = 16
We can also just find the number of squares between the points since the x value is the same.
10 - -6
10+6
16
Answer:
5√2
Step-by-step explanation:
√8 + √18
We first have to find what is the largest perfect square that goes into √8:
4 is the largest, so therefore → √8 gives you 2√2:
Work: √4 * √2 → 2 * √2 → 2√2
Now we have to find what is the largest perfect square that goes into √18:
9 is the largest, so therefore → √18 gives you 3√2:
Work: √9 * √2 → 3 * √2 → 3√2
Because 2√2 and 3√2 have the same "base" of √2, they can be added together:
2√2 + 3√2 = 5√2 (The "bases" are to be left alone!)
