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LuckyWell [14K]
2 years ago
12

Write a equation of a line perpendicular to the line below in point-slope from that passes through the point (-2,6)

Mathematics
1 answer:
STatiana [176]2 years ago
6 0

Answer:

Option 1: y-6=-4(x+2)

Step-by-step explanation:

Find the slope of the perpendicular line by finding the negative reciprocal of the original slope. (Negative reciprocal = flip upside down and add a negative). So we get -4 for the perpendicular slope.

Next, we know the point (-2,6) is on the line, so we can get x=-2 and y=6.

Plug this into point-slope form: y_{1}-y_{2}=m(x_{1}=x_{2})

y_{1} - (6)=-4(x_{1}-(-2))

y-6=-4(x+2)

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PLZ HELP!! Which real numbers are zeroes of the function?
astra-53 [7]

The correct answers are: 1/2, 2 and -2.


To get this, factor f(x)

f(x)=2x^3-x^2-8x+4

f(x)= (2x^3-x^2) - (8x -4)

f(x)= (2x-1)(x^2) + (2x-1)(-4)

f(x)= (2x-1)(x^2-4)

f(x)= (2x-1)(x-2)(x+2)


2x-1=0

2x=1

x=1/2


x-2=0

x=2


x+2=0

x=-2


5 0
2 years ago
On the first day in each month, Enid deposited $4 into her bank account and Jim deposited $3 into his. They opened these account
ohaa [14]

Answer:

The amount of money in Enid bank account can be written as a linear equation.

Ye = Xe + $4*m

where Ye is the money that Enid has in her account, m is the number of months that have passed since she opened it, and Xe is the initial deposit.

For Jim, the equation is similar:

Yj = Xj + $3*m

where Yj and Xj are similar as above.

Between May 15 and December 31 of the same year, we have 7 months (where i am counting December because the deposit is made in the first day of the month).

Then we have that:

Ye = $72 = Xe + $4*7 = Xe + $28

Xe = $72 - $28 = $44

So in May 15, Enid deposited $44.

For Jim we have:

Yj = $72 = Xj + $3*7 = Xj + $21

Xj = $72 - $21 = $51

So in May 15, Jim deposited $51.

5 0
2 years ago
The perimeter of a rectangle is 26 meters. The difference between the length and the width is 5 meters. Find the width
Scilla [17]
Try making a substitution:
3 0
3 years ago
Use the remainder theorem to divide 5x^2+9x-2 by x+3. what is the remainder?
Anna [14]

Answer:

A)16

Step-by-step explanation:

Given

f(x)=5x^2+9x-2

Remainder theorem states that when f(x) is divided by x-a then the remainder can be calculated by calculating f(a).

Now Using the remainder theorem to divide 5x^2+9x-2 by x+3 to find the remainder:

f(x)=5x^2+9x-2

f(-3) = 5(-3)^2 +9(-3) -2

       =5(9) - 27 -2

       = 45-29

       = 16 !

5 0
2 years ago
PLEASEHELP!!!!!!
pantera1 [17]

Using proportions, it is found that the speed of the runners are of 16 mph and of 20 mph.

<h3>What is a proportion?</h3>

A proportion is a fraction of a total amount.

After 30 minutes, the runners are 2 miles apart, hence the second runner is 4 miles per hour faster than the second, that is:

v_2 = v_1 + 4.

The first runner's speed is 4/5 of the speed of the second runner, hence:

v_1 = \frac{4}{5}v_2

v_1 = \frac{4}{5}(v_1 + 4)

\frac{1}{5}v_1 = \frac{16}{5}

v_1 = 16

v_2 = 16 + 4 = 20

Hence, the speed of the runners are of 16 mph and of 20 mph.

More can be learned about proportions at brainly.com/question/24863377

5 0
2 years ago
Read 2 more answers
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