Answer:
x=5+5√2; x=5-5√2
Step-by-step explanation:
To complete the square we need to turn part of the equation into a perfect square trinomial. Remember, in any equation we can do anything we like to the numbers as long as both sides stay equal.
First, let's subtract 10 from both sides.
x^2-10x=25
This does not factor, so we need to turn it into a perfect square trinomial by adding the quantity equal to (b/2)^2. In this case, (b/2)^2 is 25.
x^2−10x+25=25+25
IMPORTANT: You must keep the sides of the equation equal, so we added a 25 to the right side as well to keep the equation true.
From here we can factor, simplify and find our zeroes.
(x-5)(x-5)=50
(x-5)^2=50
x-5=±√50
x=5±√50
√50=5√2
So our final answer is:
x=5+5√2; x=5-5√2
HTH :)
Answer:
y geometric mean property,n² = 28 × 7 = 196n = 14.By pythagorean
Step-by-step explanation:
Answer: (5.5,17.5)
Step-by-step explanation: using the midpoint formula
Answer= 10,476 in3 I used calculator
Answer:
Last one
t = 1.5; it takes 1.5 seconds to reach the maximum height of 36 meters.
Step-by-step explanation:
h(t) = −16t² + 48t
h(t) = -16(t² - 3t)
h(t) = -16(t² - 2(t)(1.5) + 1.5² - 1.5²)
h(t) = -16(t - 1.5)² + 36
Axis of symmetry:
t = 1.5
Max height = 36
