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alekssr [168]
3 years ago
7

A rectangle has a length that is 12 ft longer

Mathematics
1 answer:
Reil [10]3 years ago
7 0
4x+24=84 4x=60 x=15 length =27 width = 15
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What is an equation of the line that passes through the point (8,-7)(8,−7) and is parallel to the line 5x+4y=165x+4y=16?
Gnoma [55]

Answer:

The equation of line parallel to given line passing through (8,-7) is:

y = -\frac{5}{4}x+3

Step-by-step explanation:

Given line is:

5x+4y=16

first of all, we have to convert the equation of given line in slope-intercept form

4y = -5x+16

Dividing both sides by 4

\frac{4y}{4} = -\frac{5x}{4} + \frac{16}{4}\\y = -\frac{5}{4}x+4

Slope intercept form is:

y=mx+b

The slope of given line is:

m = -\frac{5}{4}

Let m1 be the slope of line parallel to given line

"The slopes of two parallel lines are equal"

m = m_1\\m_1 = -\frac{5}{4}

The equation of line parallel to given line will be:

y = m_1x+b

Putting the value of slope

y = -\frac{5}{4}x+b

Putting the point (8,-7) in the equation

-7 = -\frac{5}{4}(8)+b\\-7 = -(5)(2) + b\\-7 = -10+b\\b = -7 +10\\b = 3

Putting the value of b

y = -\frac{5}{4}x+3

Hence,

The equation of line parallel to given line passing through (8,-7) is:

y = -\frac{5}{4}x+3

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In geometry, an intersection is a point, line, or curve common to two or more objects (such as lines, curves, planes, and surfaces). The simplest case in Euclidean geometry is the intersection of two distinct lines, which either is one point or does not exist if the lines are parallel.

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