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3 years ago

Determine the relationship of the lines of the following linear equations: y= 5/4x+3 and y=-4/5x-9

Mathematics

1 answer:

Cloud [144]3 years ago

6 0

Answer:

The lines are perpendicular.

Step-by-step explanation:

Slope of line A = ⁵/₄

Slope of line B = -⅘

The slopes are negative reciprocals of each other.

∴ The lines are perpendicular.

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2 years ago

Six times a number is at least four less than eight times the number. If x represents the number, which will help find the numbe

jeyben [28]

Answer:

The inequation 6x ≥ 8x - 4 can be used to find the solution.

The solution is x ≤ 2

Step-by-step explanation:

If x represents the number then six times a number is the multiplication of x by 6, and four less than eight times the number can be written as: 8x -4

6x ≥ 8x - 4

Solving the inequation;

Subtracting 6x each side:

0 ≥ 8x - 6x -4

Summing 4 each side

4 ≥ 2x

Dividing by 2 each side

2 ≥ x

2 greater or equal than x is the same as:

x ≤ 2

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3 years ago

The measures of the angles of a triangle are shown below. solve for x

NeTakaya

Answer is in the file below

tinyurl.com/wpazsebu

8 0

2 years ago

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One line passes through the points \blueD{(-3,-1)}(−3,−1)start color #11accd, (, minus, 3, comma, minus, 1, ), end color #11accd

mart [117]

Answer:

The lines are perpendicular

Step-by-step explanation:

we know that

If two lines are parallel, then their slopes are the same

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

Remember that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

Find the slope of the first line

we have the points

(-3,-1) and (1,-9)

substitute in the formula

$m_1=\frac{-9+1}{1+3}$

$m_1=\frac{-8}{4}$

$m_1=-2$

Find the slope of the second line

we have the points

(1,4) and (5,6)

substitute in the formula

$m_2=\frac{6-4}{5-1}$

$m_2=\frac{2}{4}$

Simplify

$m_2=\frac{1}{2}$

Compare the slopes

$m_1=-2$

$m_2=\frac{1}{2}$

Find out the product

$m_1*m_2=(-2)(\frac{1}{2})=-1$

therefore

The lines are perpendicular

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3 years ago

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