Simplify by distributive property 8-3(7m-3p)
1 answer:
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Answer:
18¾ ft × 15 ft
Step-by-step explanation:
The dimensions of the billboard are 25 ft by 15 ft.
The dimensions of the image are 5 ft by 4 ft
Case 1.<em> Expand the length of the image to 25 ft. </em>
We have multiplied the length by five, so we must multiply the width by five.
w = 5 × 4 = 20 ft. That's too big. The image will overflow the billboard
by 5 ft.
<em>Case 2. </em><em>Expand the width of the image to 15 ft. </em>
We have multiplied the width by 15/4, so we must multiply the length by 15/4.
l = 15/4 × 5 = 75/4 = . That will fit, with 6¼ ft left over.
The expanded image will be 18¾ ft × 15 ft.
In the image below, the big rectangle represents the billboard, and the red rectangle represents the original image.
The pink rectangle represents the dilation of the original image to a width of 15 ft.
<h3>Answer:</h3>
y=1/2x
<h3>Solution:</h3>- The slopes of perpendicular lines are opposite reciprocals of each other.
- The simplest way to determine a number's reciprocal is to flip it over, like so:
- Now, change the sign:
- So we have the <em>slope </em>of the line that's <em>perpendicular </em>to the given line.
- Now, let's find the line's equation.
- First, let's write it in Point-Slope Form:
- y-y1=m(x-x1)
- y-(-2)=1/2(x-4)
- y+2=1/2x-2 (Point slope)
- Now, convert to slope-intercept:
- y=1/2x+2-2
- y=1/2x
Hope it helps.
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Answer:
9-2b
Step-by-step explanation:
Set up equation:
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