Answer:
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Step-by-step explanation:
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Answer:
y = 3x -1
Step-by-step explanation:
When the given points are dilated by a factor of 1/5 about the origin, each of the coordinate values is multiplied by 1/5. The points after dilation are ...
... (2/5, 1/5), (-1/5, -8/5)
The line through these points can be found starting with a 2-point form of the equation for the line.
... y -y1 = (y2 -y1)/(x2 -x1)·(x -x1)
Filling in the point values gives ...
... y -1/5 = (-8/5 -1/5)/(-1/5 -2/5)(x -2/5)
... y = (-9/5)/(-3/5)(x -2/5) +1/5 . . . . simplify parentheses, add 1/5
... y = 3x -1 . . . . . simplify
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The graph shows the original points and the line through them in red, and the dilated points and line in green.
Answer:
See below ~
Step-by-step explanation:
Formula for area of a triangle :
<u><em>Area (triangle) = 1/2 × base × height</em></u>
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Solving :
<u>Triangle 1 (Top Left)</u>
⇒ Area = 1/2 × 11 × 3
⇒ Area = 33/2
⇒ Area = 16.5 in²
<u>Triangle 2 (Top Right)</u>
⇒ Area = 1/2 × 8 × 7.2
⇒ Area = 4 × 7.2
⇒ Area = 28.8 cm²
<u>Triangle 3 (Bottom Left)</u>
⇒ Area = 1/2 × (5.5 + 5) × 10.4
⇒ Area = 10.5 × 10.4
⇒ Area = 109.2 m²
<u>Triangle 4 (Bottom Right)</u>
⇒ Area = 1/2 × (2 + 7) × 5.5
⇒ Area = 9 × 2.75
⇒ Area = 24.75 in²
Answer:
192 cm^3/min
Step-by-step explanation:
Differentiating the volume expression, we get ...
dV/dt = 2xh(dx/dt) +x^2(dh/dt)
We are given that ...
x = 4 cm, dx/dt = 2 cm/min, h = 15 cm, dh/dt = -3 cm/min
Putting these values into the formula for volume rate of change, we get ...
dV/dt = 2(4 cm)(15 cm)(2 cm/min) +(4 cm)^2(-3 cm/min)
= 240 cm^3/min -48 cm^3/min
dV/dt = 192 cm^3/min
Answer:
a and d
Step-by-step explanation:
