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3 years ago

Identify an equation in point-slope form for the line perpendicular to y =3/4x -4 that passes through (-1, 7).

Mathematics

1 answer:

PilotLPTM [1.2K]3 years ago

3 0

Answer:

y - 7 = -4/3(x + 1)

Step-by-step explanation:

Given

y =3/4x -4

(-1, 7)

Convert to point slope form

y - y1 = m(x - x1)

m: represents what the slope is

y - 7 = -4/3(x + 1)

Distribute -4/3

-4/3 * x = -4/3x

-4/3 * 1 = -4/3

y - 7 = -4/3x - 4/3

Add seven in both sides

21/3 -4/3 = 17/3

y = -4/3x + 17/2

Answer

linear equation: y = -4/3x + 17/2

point-slope form: y - 7 = -4/3(x + 1)

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What is the value of |-8|

Rudik [331]

Answer: 8

Step-by-step explanation:

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3 years ago

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What is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)?x = –5x = 4y = –5y = 4

Rainbow [258]

x = -5 is the equation of the line that is parallel to the line x = –2 and passes through the point (–5, 4)

Solution:

Given that, we have to write the equation of line that is parallel to line x = -2 and passes through point (-5, 4)

From given,

The equation of the line in standard form is x = -2

This is a vertical line, so the parallel line will also be a vertical line of the form:

x = a

Since we are given that the line should pass through the point (-5, 4) then the equation of the line is:

x = -5

Thus the equation of line is found

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3 years ago

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London mixes 6 parts yellow paint with 3 parts blue paint to make green. She adds 1 more part of yelow to change the

Stella [2.4K]

Answer:

The new ratio is $\frac{7}{3}$ ⇒ (D)

Step-by-step explanation:

The given information is

6 parts of yellow paint with 3 parts of blue paints to make green paint
The yellow paint adds by 1 part

We need to find the ratio of yellow to blue

Let us find the correct answer

∵ The yellow = 6 parts

∵ The yellow adds by 1 part

∴ The yellow = 6 parts + 1 parts = 7 parts

∵ The blue = 3 parts

∵ The ratio of yellow to blue = $\frac{yellow}{blue}$

∴ The ratio of yellow to blue = $\frac{7}{3}$

The new ratio is $\frac{7}{3}$

7 0

3 years ago

A restaurant manager has the option of a 30-year loan of $417,000 at an annual interest rate of 3.85% or the same interest rate

victus00 [196]

a) The monthly payment for each loan is as follows:

30-year $1,954.93

15-year $3,053.25

b) The savings in interest by using the 15-year loan is $154,189,20 ($286,774.20 - $132,585).

c) No. the monthly payment for the 15-year loan is not twice that of the 30-year loan as the loan term.

d) The interest savings for the 15-year loan are more than one-half of the interest paid on the 30-year loan.

<h3>How are the calculations for periodic payments done?</h3>

The calculations for the monthly payments, including interests can be carried out using an online finance calculator, as follows:

N (# of periods) = 360 months (12 x 30 years)

I/Y (Interest per year) = 3.85%

PV (Present Value) = $417000

FV (Future Value) = $0

Results:

PMT = $1,954.93

Sum of all periodic payments = $703,774.80 ($1,954.93 x 360)

Total Interest = $286,774.20 ($703,774.80 - $417,000)

N (# of periods) = 180 months (12 x 15 years)

I/Y (Interest per year) = 3.85%

PV (Present Value) = $417000

FV (Future Value) = $0

Results:

PMT = $3,053.25

Sum of all periodic payments = $549,585 ($3,053.25 x 180)

Total Interest = $132,585 ($549,585 - $417,000)

Learn more about periodic payments at brainly.com/question/13098072

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1 year ago