Answer:
c
Step-by-step explanation:
i had the same q and got it right
Answer:
P' = (4, 4)
Step-by-step explanation:
T(x, y) is a function of x and y. Put the x- and y-values of point P into the translation formula and do the arithmetic.
P' = T(8, -3) = (8 -4, -3 +7) = (4, 4)
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<em>Comment on notation</em>
The notation can be a little confusing, as the same form is used to mean different things. Here, P(8, -3) means <em>point P</em> has coordinates x=8, y=-3. The same form is used to define the translation function:
T(x, y) = (x -4, y+7)
In this case, T(x, y) is not point T, but is <em>a function named T</em> (for "translation function") that takes arguments x and y and gives a coordinate pair as a result.
Answer:
y=2x-2
Step-by-step explanation:
Slope intercept Formula: y=mx+b
y= Y coordinate
m = slope
x = x coordinate
b = y intercept
Point Slope Formula: y-y1=m(x-x1)
Slope Formula: m= y2-y1 / x2-x1
2 - (-2) / 2-0 = 4 / 2 = 2
y- (-2) = 2 (x - 0) = y+2=2x-0
y=2x-2
The solutions would be +0.37 and -0.37.
When completing the square, we take 1/2 of the value of b (in this case 5). 5/2=2.5. We then square this number: 2.5²=6.25. We add this value to both sides of the equation:
x²+5x+6.25 = 2+6.25
(x+2.5)² = 8.25
Take the square root of both sides:
√(x+2.5)² = √8.25
x + 2.5 = 2.87
Subtract 2.5 from both sides:"
x+2.5-2.5 = 2.87-2.5
x = 0.37
We have to take the positive and negative values for solutions, however, since a square root has both positive and negative answers.
So the formula for the volume of a sphere is 4/3 * (π * r³)
V = 4/3 * (π * 6³)
V = 4/3 * (π * 216)
V = 4/3 * 678.24
V = 904.78
I hope this helps! If it does, please rate as Brainliest :D
