Rewrite the following parabola in vertex form by completing the square
y= x^2 - 8x +13
1 answer:
Answer:
Step-by-step explanation:
<u>Given parabola:</u>
<u>Complete the square to convert the equation into vertex form:</u>
- y = x² - 8x + 13 =
- x² - 2*x*4 + 4² - 4² + 13 =
- (x - 4)² - 16 + 13 =
- (x - 4)² - 3
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You need to add the two quadratics together...
x^2+11x-6+6x^2-3x+9
7x^2+8x+3
MN goes through
Slope:-
Slope of perpendicular line:-
Passes through k(3,-3)
Equation in point slope form
- y-y1=m(x-x1)
- y+3=-5(x-3)
- y+3=-5x+15
- y=-5x+12
Check one by one
- 0=-5(-12)+12=60+12=72
- 2=-5(2)+12=-10+12=2
Yes option B is correct
2.0e-6
Is the answer to your question
Answer:
b = 9 ft
Step-by-step explanation:
Pythagorean Theorem:
a^2 + b ^2 = c^2
Given:
a = 12
b = ?
c = 15
Plug in values:
12^2 + b^2 = 12^2
Solve for b^2:
b^2 = 15^2 - 12^2
b^2 = 225 - 144
b^2 = 81
Take square root of both sides to find b:
sqrt(b^2) = sqrt(81)
b = 9
Hope this helps! :)
10.417 rounded to the nearest hundredth is 10.42
Hope it helps!
