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2 years ago

Is urgent What is the equation of the line, in point-slope form, that goes through (2, -1)

Mathematics

1 answer:

Pavlova-9 [17]2 years ago

7 0

Answer:

c. y + 1 = -⅕(x - 2)

Step-by-step explanation:

To write the equation in point-slope form, we need to know the slope (m) and coordinates of a point the line passes through.

The equation would be in the form of y - b = m(x - a).

(a, b) = (2, -1)

Since the line is perpendicular to y = 5x + 3, the slope will be the negative reciprocal of 5 which is -⅕

m = -⅕.

Substitute a = 2, b = -1, and m = -⅕ into y - b = m(x - a).

Thus:

y - (-1) = -⅕(x - 2)

y + 1 = -⅕(x - 2)

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When 0.3(4x – 8) – 0.5(–2.4x + 4) is simplified, what is the resulting expression?

SVETLANKA909090 [29]

Answer:

2.2x - 4.4

Step-by-step explanation:

0.3(4x-8) - 0.5(-2x+4)

1.2x-2.4-0.5 (-2x+4)

1.2x - 2.4 + x-2

2.2x - 4.4

Hope this helped :)

4 0

2 years ago

Read 2 more answers

Yvette is considering taking out a loan with a principal of $16,200 from one of two banks. Bank F charges an interest rate of 5.

umka21 [38]

Hi there
First find the monthly payment of each offer to see which monthly payment is lower
The formula of the present value of annuity ordinary is
Pv=pmt [(1-(1+r/k)^(-kn))÷(r/k)]
Pv present value
PMT monthly payment
R interest rate
K compounded monthly 12
N time
Solve the formula for PMT
PMT=pv÷[(1-(1+r/k)^(-kn))÷(r/k)]

Bank F
PMT=16,200÷((1−(1+0.057÷12)^(
−12×8))÷(0.057÷12))
=210.53

Bank G
PMT=16,200÷((1−(1+0.062÷12)^(
−12×7))÷(0.062÷12))
=238.21

From the above the monthly payment of bank f is lower than the bank g
And since the lifetime of bank g is lower than bank f the answer is
b. Yvette should choose Bank F’s loan if she cares more about lower monthly payments, and she should choose Bank G’s loan if she cares more about the lowest lifetime cost.

Good luck!

6 0

3 years ago

Write the standard form of the equation of each line given the slope and y- intercept

SOVA2 [1]

Standard form is y=mx+b

y=9x+4

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2 years ago

What is x for Unknown angle problems with algebra?

yulyashka [42]

The value of x=20

Step-by-step explanation:

We need to find the value of x

We are given a right angle which is equal to 90°

So, all three angles must sum to 90°

Our equation will be:

$x+2x+(x+10)=90$

Solving and finding value of x

$x+2x+x+10=90\\4x=90-10\\4x=80\\x=80/4\\x=20$

So, the value of x=20

Keywords: Angles

Learn more about angles at:

#learnwithBrainly

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2 years ago

Match the vocabulary word with the correct definition. 1. inverse operations terms that have the same variable(s), with each var

Licemer1 [7]

Answer:

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Step-by-step explanation:

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2 years ago