Answer:
(x, y) = (0, -14), (2, -8), (3, -5)
Step-by-step explanation:
Put the given values into the equation and solve.
<u>x = 0</u>
y = 3·0 -14 = -14
<u>y = -8</u>
-8 = 3x -14
6 = 3x . . . . . . add 14
2 = x . . . . . . . divide by 3
<u>x = 3</u>
y = 3·3 -14 = -5
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The ordered pairs in your table are ...
(x, y) = (0, -14), (2, -8), (3, -5)
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<em>Comment on the approach</em>
In this problem, you are only asked for one x-value for a given y-value. If there were more, you would solve the equation generically (x = (y+14)/3) and use that to compute the desired values of x.
BCDE is a square of 576 square feet, so each side is √576=24 feet
BE=24
BF:FE=2:1, so BF=16, FE=8
Area of ABF is half of BE times AE (AE is the height): 1/2 of 16*12=96
the answer is 96 square feet
Answer:
Step-by-step explanation:
Assume that f(x) = 0 for x outside the interval [4,7]. We will use the following
Standard deviation =
Mean =
Then,
Then,
Then the standard deviation is
Triangle BRM = Triangle KYZ
CPCTC ( corresponding parts of congruent triangles are congruent)
if two triangles are congruent then all of their angles and sides are congruent
Make sense?
Answer:
Step-by-step explanation:
Since we are given the central angle in radians, we should use the following formula for the arc length.
Where <em>s</em> is the arc length, θ is the angle in radians, and <em>r</em> is the radius.
We know this circle has a radius of 9 inches and the central angle is 3.25 radians.
Substitute the values into the formula
Multiply.
The arc length is <u>29.25 inches. </u>