Answer:
A. 6 units left and 9 units down
Step-by-step explanation:
Given:
y = (x – 5)^2 + 7
y = (x +1)^2 - 2
The graph of y = (x – 5)^2 + 7 is a parabola 5 units right and 7 units up
The graph of y = (x +1)^2 - 2 is a parabola 1 unit left and 2 units down
Transformation is the difference in the shift
Transformation = 6 units left and 9 units down.
Therefore, answer A. 6 units left and 9 units down
Hope this will helpful.
Thank you.
Answer: x = 6 plus-or-minus 3 StartRoot 10
Step-by-step explanation:
The given quadratic equation is expressed as
x² - 12x + 36 = 90
Rearranging the equation so that it takes the the standard form of
ax² + bx + c, it becomes
x² - 12x + 36 - 90 = 0
x² - 12x - 54 = 0
The general formula for solving quadratic equations is expressed as
x = [- b ± √(b² - 4ac)]/2a
From the equation given,
a = 1
b = - 12
c = - 54
Therefore,
x = [- - 12 ± √(- 12² - 4 × 1 × - 54)]/2 × 1
x = [12 ± √(144 + 216)]/2
x = [12 ± √360]/2
x = (12 ± 6√10)/2
x = 6 + 3√10
1.08 m. is the answer because you would use the pythagorean theorem to solve it.
2.8^2+b^2=3^2
7.84+b^2=9
b^2=9-7.84
square root of b^2=square root of 1.16
b=1.08
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