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2 years ago

Write an equation for a line perpendicular to y=4x+1 and passing through the point (12,-7).

Mathematics

1 answer:

Gnoma [55]2 years ago

3 0

Answer:

Step-by-step explanation:

y = 4x + 1

Slope of line = 4

Slope of perpendicular to line = -¼

Point-slope equation for line of slope -¼ that passes through (12, -7):

y+7= -¼(x-12)

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riadik2000 [5.3K]

Answer:

$x=20; y=50$ or $(20, 50)$

Step-by-step explanation:

Substitution means plugging in one variable's value that consists of the opposite variable. Because $y=3x-10$ is already specified, you can plug it into the second equation's $y$ value. After doing that, it looks like this:

$-4x+2y=20→-4x+2(3x-10)=20$

Then you would distribute the $3$ across the parentheses next to it, like this:

$-4x+2(3x-10)=20→-4x+6x-20=20$

Then, add like terms, like this:

$-4x+6x-20=20→2x=40$

Then divide both side by $2$ to isolate $x$ .

$x=20$

Now, you can plug $20$ ( $x$ ) into either equation, but the first one seems simpler so you would pick that. It would look like this:

$y=3x-10→y=3(20)-10$

Solving would look like this:

$y=3(20)-10→y=60-10→y=50$

So the answer is $x=20; y=50$ or $(20, 50)$ .

6 0

2 years ago

Read 2 more answers

Given the equation y=23x,whats the value of x if y=100

Damm [24]

Answer: 4.3478 or 100/23

Step-by-step explanation:

Set the y values equal to each other since they are the same unknown (x). You end up with 100=23x, solve for x. Move the 23 over to the other side by using division. x=100/23. If you need it in decimal form, 100÷23=4.347826087

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2 years ago

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The volume of a rectangular box can be found using the formula lwh where l represents the length, w represents the width, and h

Dafna1 [17]

Answer:

120 cm^3

Step-by-step explanation:

volume = lwh

I = 4 centimeters

w = 5 centimeters

h = 6 centimeters