Answer:
D. About 9.4 units
Step-by-step explanation:
![ab = \sqrt{ {(9 - 4)}^{2} + {(10 - 2)}^{2} } \\ ab = \sqrt{ {(5)}^{2} + {(8)}^{2} } \\ ab = \sqrt{25 + 64} \\ ab = \sqrt{89} \\ ab = 9.43398 \: units](https://tex.z-dn.net/?f=ab%20%3D%20%20%5Csqrt%7B%20%7B%289%20-%204%29%7D%5E%7B2%7D%20%2B%20%20%7B%2810%20-%202%29%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20ab%20%3D%20%20%5Csqrt%7B%20%7B%285%29%7D%5E%7B2%7D%20%2B%20%20%7B%288%29%7D%5E%7B2%7D%20%20%7D%20%20%5C%5C%20ab%20%3D%20%20%5Csqrt%7B25%20%2B%2064%7D%20%20%5C%5C%20ab%20%3D%20%20%5Csqrt%7B89%7D%20%20%5C%5C%20ab%20%3D%209.43398%20%5C%3A%20units)
C
All u have to do is add 23.5 to 23.5
Answer:
x = 0
Step-by-step explanation:
= 2 - x ( square both sides to clear the radical )
x + 4 = (2 - x)² ← expand using FOIL
x + 4 = 4 - 4x + x² ( subtract x + 4 from both sides )
0 = x² - 5x ← factor out x from each term
0 = x(x - 5)
equate each factor to zero and solve for x
x = 0
x - 5 = 0 ⇒ x = 5
As a check
substitute these values into the equation and if both sides are equal then they are the solutions
x = 0
left side =
=
= 2
right side = 2 - 0 = 2
then x = 0 is a solution
x = 5
left side =
=
= 3
right side = 2 - 5 = - 3 ≠ 3
then x = 5 is an extraneous solution
Answer:
(x+6)^2 +(y-4)^2 = 49
Step-by-step explanation:
The equation of a circle is given by
(x-h)^2 +(y-k)^2 = r^2 where (h,k) is the center and r is the radius
(x- -6)^2 +(y-4)^2 = 7^2
(x+6)^2 +(y-4)^2 = 49