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larisa [96]
3 years ago
12

Write an equation in slope-intercept form that is perpendicular to the equation y=4x+8 and passes through the point (-12,-1)

Mathematics
1 answer:
Helga [31]3 years ago
8 0

Answer:

y=-1/4x-4

Step-by-step explanation:

Given slope: 4

Perpendicular slope: -1/4 (change the sign, and flip the slope)

y=mx+b

Plug the order pair into the equation

-1= -1/4(-12)+b

-1=3+b

subtract three on both sides to get b by itself

b=-4

Therefore, y=-1/4x-4

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What is the diameter of this circle if the circumference is 30 x inches?
ch4aika [34]

Answer:

<h2>10 inches</h2>

Step-by-step explanation:

Given the circumference= 30 in

we know that the formula for circumference is

C= 2\pi r

30= 2*3.142*r\\\\r= \frac{30}{2*3.142} \\\r= \frac{30}{6.248}\\\r= 4.77 in

The diameter is 2*r= 4.77*2=9.55 in

Approximately the diameter is 10 inches

7 0
4 years ago
Solve for x. x² = 144
Akimi4 [234]

Answer:

x = 12

Step-by-step explanation:

if ,

x {}^{2}  = 144

then,

x \:  =  \sqrt{144}

hence,

x \:  = 12

i hope you got it.

6 0
3 years ago
Read 2 more answers
A counter in Brendan's kitchen is 1 yard wide and 3 yards long. Brendan wants to replace the counter with a granite countertop,
brilliants [131]

Answer:

The new granite countertop will cost $824.

Step-by-step explanation:

Step 1: The problem is to determine how many yards per square that the countertop is made up of.

This is the equivalent of finding the square area of the countertop.

The formula for the square area of a rectangle is given as L x W.

Where L = Lenght which is equal to 3 yards

W = 1 yard

Step 2:

Cost of per square yard required therefore is

3 x 1 = 3 square Yards.

The granite required for the countertop project therefore will cost:

$206 x 3 = $824.00

Cheers!

8 0
3 years ago
Maddie has 180 coins. Of these coins, 1/12 are dimes. About how many dimes does she have?
tia_tia [17]
Remember that "of" means to multiply.
(1/12) of 180 coins are dimes. The number of dimes will be
(1/12)*180 = 180/12 = 15
8 0
3 years ago
Brennan has already run 16 miles on his own, and he expects to run 3 miles during each track practice. How many track practices
pentagon [3]

Answer:

It would take Brennan 4 track practice runs.

Step-by-step explanation:

He has already run 16 miles and needs to run 28 in total. If we are counting the 16 in the 28 miles, he would need to run only 12 more to reach his goal. And if he runs 3 miles a run, it would take him about 4 runs to finish his 28-mile goal.

(28-16=12 and 12/3=4)

8 0
3 years ago
Read 2 more answers
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