Slope formula : (y2 - y1) / (x2 - x1)
now pick 2 points on ur line...
(1,2)......x1 = 1 and y1 = 2
(3,0)......x2 = 3 and y2 = 0
now sub
slope = (0 - 2) / (3 - 1) = -2/2 = -1 <== ur slope is -1
718,956;716,480;715,230;714,398;713,486;712,396;710,469;709,612;708,421;706,329
Answer:
retirement savings plan sponsored by an employer
Step-by-step explanation:
The equation of the new parabola is y = (x - 5)² - 6
Step-by-step explanation:
Let us revise the translation of a function
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ The equation of the parabola is y = x²
∵ The parabola is shifted down by 6 units
- That means new y = y - k and k = 6
∴ The new y = x² - 6
∵ The parabola is shifted 5 units to the right
- That means the new y = (x - h)² and h = 5
∴ The new y = (x - 5)²
∴ The new equation is y = (x - 5)² - 6
The equation of the new parabola is y = (x - 5)² - 6
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You can learn more about transformation in brainly.com/question/9381523
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Answer:
x = 37
Step-by-step explanation:
Use the theorem formula
a^2+b^2=c^2
35^2 + 12^2 = c^2
1225 + 144 = c^2
1369 = c^2
divide by square root
c = 37
so x = 37