Given two points (x₁,y₁) and (x₂,y₂), the midpoint of the segment will be:
( (x₁+x₂) / 2 , (y₁+y₂)/2 ).
In this case:
J(-3,18)
T(7,-10)
The midpoint will be:
( (-3+7)/2 , (18-10)/2 )=(4/2 , 8/2)=(2, 4).
Answer: the midpoint of segment JT is (2,4)
Answer:
1.25 minutes, or 1 minute 15 seconds
Step-by-step explanation:
We know that is speed is 0.4 pages per 0.5 minutes. This is 0.8 pages per 1 minute. If we divide 1/0.8, we get 1.25 or 1 minute 15 seconds.
The answer is: " - (4/3) " .
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Explanation:
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The original equation given has a slope of (3/4).
Note: We know this since the equation for the slope of the line is written in "slope-intercept form" ; also known as: "point-slope form"; that is:
" y = mx + b " ; in which "m" (the coefficient of "x") is the slope.
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The slope of a line PERPENDICULAR to an equation, when written in "slope-intercept form", is the "negative reciprocal" of the slope of the original line.
Hence, the negative reciprocal of "(3/4)" is: "-(4/3)" .
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<h3><u>The length is equal to 25.</u></h3><h3><u>The width is equal to 15.</u></h3>
l = 2w - 5
2l + 2w = 80
We have a value for l, so we can plug it into the second equation to solve for w.
2(2w - 5) + 2w = 80
Distributive property.
4w - 10 + 2w = 80
Combine like terms.
6w - 10 = 80
Add 10 to both sides.
6w = 90
Divide both sides by 6.
w = 15
Now that we have a value for w, we can plug it into the original equation to solve for l.
l = 2(15) - 5
l = 30 - 5
l = 25