This is just simple Pythagorean’s theorem. a^2 + b^2 = c^2
Number 2:
5^2 + x^2 = 10^2
25 + x^2 = 100
x^2 = 75
x = sqrt 75 = 5*sqrt(3)
Number 3:
4^2 + x^2 = 7^2
16 + x^2 = 49
x^2 = 33
x = sqrt 33
Answer:
B
Step-by-step explanation:
180-130=50
180-50=130
130:2=65
Answer:
B) Distribute 1.2 to 6.3 and –7x
D) Combine 3.5 and 7.56
E) Subtract 11.06 from both sides
(x2 - 4x + 4)/(x2 + 10x + 25) • (x + 5)/(x2 + 3x - 10)
((x - 2)2)/((x + 5)2) • (x + 5)/(x + 5)(x - 2)
(x - 2)/((x + 5)2) • 1
(x - 2)/((x + 5)2)
The answer is B.
Answer:
B. y=3(x-1)2 + 3
Step-by-step explanation:
Given that
vertex of the parabola is at the point (1,3)
let's verify, if the option B is the correct equation of the parabola.

comparing to standard equationof parabola (standard quadratic equation), we get

to find the vertex we use formula for x- coordinate as 

to find y put x=1 in the Eq1, we get

vertex =(x,y) = (1, 3)
thus vertex of the parabola from the equation y=3(x-1)2 + 3 is (1,3), thus verified