Answer:
vertex = (- 10, - 10 )
Step-by-step explanation:
The equation of a quadratic in vertex form is
y = a(x - h)² + k
where (h, k ) are the coordinates of the vertex and a is a multiplier
To obtain this form use the method of completing the square.
Given
h(x) = x² + 20x + 90
add/subtract ( half the coefficient of the x- term )²
h(x) = x² + 2(10)x + 100 - 100 + 90
= (x + 10)² - 10 ← in vertex form
with (h, k ) = (- 10, - 10 )
Well to find this its quite simple.
Just divide 200,000 by 100 to get the answer of:
2,000
<em>~Hope this helped :)</em>
Let the number be X. Then we find
7X + 3 = 39 - 2X
Now we collect the terms and find
9X = 36
Finally we divide by 9
X = 4
So our answer is 4
Answer:
B
Step-by-step explanation:
We can easily solve this problem by using the Pythagorean Theorem.
The Pythagorean Theorem says:
One Leg ^ 2 + Another Leg ^ 2 = Hypotenuse ^ 2
<u>Note:</u> This theorem holds true for right triangles
This problem is in fact of a right triangle as said. So we use the theorem to find the other leg's length.
One Leg ^ 2 + Another Leg ^ 2 = Hypotenuse ^ 2
8^2 + Another Leg ^ 2 = 17^2
64 + Another Leg ^ 2 = 289
Another Leg ^ 2 = 289 - 64
Another Leg ^ 2 = 225
The other is the square root of 225, which is 15
The correct answer is B
