Answer:
(6, -3)
Step-by-step explanation:
The actual coordinates are x = -6 and y = 3
If we rotate 180 degrees and the center of rotation is at (0,0), all we need to do is invert the signal of each axis, that is, we invert the sign of the original x-coordinate and invert the signal of the original y-coordinate.
So the final x-coordinate is - (-6) = 6
And the final y-coordinate is - (3) = -3
So the coordinates will be (6, -3).
Easy
the radius is the distance from the center to a point on the circle
we are given
center=(7,1)
a point=(8,7)
find the distance
distance formula
D=
![\sqrt{(x2-x1)^2+(y2-y1)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%28x2-x1%29%5E2%2B%28y2-y1%29%5E2%7D%20)
so the distance between point and center is radius
D=
![\sqrt{(8-7)^2+(7-1)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%288-7%29%5E2%2B%287-1%29%5E2%7D%20)
D=
![\sqrt{(1)^2+(6)^2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B%281%29%5E2%2B%286%29%5E2%7D%20)
D=
![\sqrt{1+36}](https://tex.z-dn.net/?f=%20%5Csqrt%7B1%2B36%7D%20)
D=√37 units
radius is √37 units
Answer:
The zeroes in this equation are -5, -4, and 5
Step-by-step explanation:
In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.
r^3 + 4r^2
r^2(r + 4)
Now the second half.
-25r - 100
-25(r + 4)
Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.
(r^2 - 25)(r + 4)
And we can further factor the first parenthesis using the difference of two squares
(r^2 - 25)(r + 4)
(r + 5)(r - 5)(r + 4)
Now that we are fully factored, set each parenthesis equal to 0 and solve for x.
r + 5 = 0
r = -5
r - 5 = 0
r = 5
r + 4 = 0
r = -4
Answer:give me points
Step-by-step explanation:
Please
Answer:
a.) $3.20
b.) $102.40
$3,276.80
Step-by-step explanation:
0.2 times 2 five times is 3.2
0.2 times 2 ten times is 102.4
0.2 times 2 fifteen times is 3,276.8