Answer:
( x+1)^2 + (y+2)^2 = 25
The center is (-1, -2) and the radius is 5
Step-by-step explanation:
x^2 + 2x + y^2 + 4y = 20
Complete the square
2/2 =1 1^2 =1 so add 1 for x 4/2 =2 2^2 = 4 so add 4 for y
x^2 +2x +1 +y^2 +4y+4 = 20 +1 +4
( x+1)^2 + (y+2)^2 = 25
(x+1) ^2 + (y+2)^2 = 5^2
(x - -1) ^2 + (y - -2)^2 = 5^2
This is in (x-h)^2 + (y-k)^2 = r^2 form where (h,k) is the center and r is the radius
The center is (-1, -2) and the radius is 5
Answer:
x^3-4x^2+25x-100
Step-by-step explanation:
We have 2 roots -5i and 4. Using the conjugate root theorem for the root -5i, we know that 5i should be another root
Combining the roots into a polynomial gives us:
(x+5i)(x-5i)(x-4)
Expand:
(x^2 + 25)(x-4)
x^3-4x^2+25x-100
Answer:
The measure of the angles are 55° and 35°
Step-by-step explanation:
Sum of two angles that are complement of each other are 90.
The angles are A and B, so we can write:
A + B = 90
Also,
The difference is 20. Let A be the greater of them, so we can write equation 2 as:
A - B = 20
Now, we add up both equations, eliminate B and solve for A first:
A + B = 90
A - B = 20
---------------
2A = 90 + 20
2A = 110
A = 110/2
A = 55
And now the measure of B:
A + B = 90
55 + B = 90
B = 90 - 55
B = 35
Answer:
so you would replace all r with 2 which is 2+q-2
then replace the q with 6 so it would be: r+6-r
combined both of these to get
2+6-2
which would equal to 6
add the 2 and the 6 to get 8
then subtract 2 to get 6
Answer:
9
Step-by-step explanation:
3/7 multiplied by 21 = 3/7 x 21 = 9 = 3/7 x 21/1 = 63/7 = 9
Or if you can't do the math - Think of a pizza with 21 slices . Now cut this pizza into 7 equal parts. You will find that each part contains exactly 3 slices. Now, eat 3 of these parts. With three slices in each part, you ate 9 slices - which is three sevenths of 21.
