First we need to take the - signal
So the difference between the graphs y = -4x and y = 4x is that they are mirrored by the y-axis
Now we have the graph y = 4x and want the graph y = 4x + 3
We just need to move the graph y = 4x 3 units to the left
So the transformations we need is to move it 3 units to the left and to mirror it by the y-axis
Answer: <span>2,856 ft³ .</span>
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Volume of a rectangle prism = BASE AREA * height ;
The "base area" is the area of the rectangle:
(Area = length width; or, "L * w").
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So, volume of a rectangular prism = L * w * h ; h = height ;
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V = L * w * h = 12 ft * 17 ft. * 14 ft = 2,856 ft³
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<span>1/2x+3y/4=5 => (1/2)x + (3/4)y = 5
1/5x+3y/2=2 => (1/5)x + (3/2)y = 2
Eliminate the fractional coefficients: Mult. the first equation by 4 and mult. the second equation by 10:
2x + 15y = 20
</span><span>Multiply the 1st equation by -1:
-</span>2x - 3y = -20
2x + 15y = 20
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12y = 0, so y = 0. Then the first equation becomes 2x + 3(0) = 20, or
x=10.
Solution is (10,0).
Answer:
25
Step-by-step explanation:
2x+2+5x+3=180 (angles on a straight line)
7x+5=180
7x=180-5
7x=175
x=25 (dividing both sides by 7)
M >= 85. The >= sign means greater than or equal to.
