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2 years ago

Y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither

Mathematics

1 answer:

Oksi-84 [34.3K]2 years ago

8 0

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y = 8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = $\frac{1}{4}$ x + 2 ← in slope- intercept form

with slope m = $\frac{1}{4}$

Since the slopes are not equal the lines are not parallel

- 4 × $\frac{1}{4}$ = - 1

Then the lines are perpendicular

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Yuri [45]

Step-by-step explanation:

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3 0

3 years ago

How do I solve 3 1/2r = 28

lozanna [386]

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7 0

4 years ago

Read 2 more answers

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algol [13]

Answer:

its answer C. y=-8

Step-by-step explanation:

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3 0

3 years ago

Which choices are equivalent to the expression below? Check all that apply. 6√3

Westkost [7]

Answer:

case A. $\sqrt{18}*\sqrt{6}$

case B. $\sqrt{108}$

case E. $\sqrt{3}*\sqrt{36}$

Step-by-step explanation:

we have

$6\sqrt{3}$

we know that

$6\sqrt{3}=\sqrt{36*3}=\sqrt{108}$

Verify each case

case A) $\sqrt{18}*\sqrt{6}$

$\sqrt{18}*\sqrt{6}=\sqrt{18*6}=\sqrt{108}$

therefore

$\sqrt{18}*\sqrt{6}$ is equivalent to $6\sqrt{3}$

case B) $\sqrt{108}$

$\sqrt{108}$ is equivalent to $6\sqrt{3}$

case C) $\sqrt{3}*\sqrt{6}$

$\sqrt{3}*\sqrt{6}=\sqrt{18}$

therefore

$\sqrt{18}$ is not equivalent to $6\sqrt{3}$

case D) $\sqrt{54}$

$\sqrt{54}$ is not equivalent to $6\sqrt{3}$

case E) $\sqrt{3}*\sqrt{36}$

$\sqrt{3}*\sqrt{36}=\sqrt{108}$

therefore

$\sqrt{3}*\sqrt{36}$ is equivalent to $6\sqrt{3}$

case F) $108$

$108$ is not equivalent to $6\sqrt{3}$

6 0

3 years ago

6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A

Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

$42 + 0.72m = 70 + 0.12m$

Collect like terms

$0.72m - 0.12m = 70 - 42$

$0.6m = 28$

Divide both sides by 0.6

$\frac{0.6m}{0.6} = \frac{28}{0.6}$

$m = 46.7$

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0

3 years ago

Y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither​

Y = - 4x + 3 & x - 4y = 8 : parallel or perpendicular or neither