What is the equation of a line that passes through the point (8, -2) and is parallel to the line whose equation is 3x + 4y = 15?

Answers

Answer 1

Answer:

y = -3/4x + 4 or 3x + 4y = 16

Step-by-step explanation:

Step 1

Find the slope of the given line

we have

3x + 4y = 15

Isolate the variable y

Subtract 3x from both sides

3x + 4y -3x = 15-3x

Divide by 4 both sides

y = -3/4x + 15/4

the slope of the given line is

m = -3/4

Step 2

Find the equation of the line that passes through  the point  and is parallel to the given line

we know that

if two lines are parallel, then their slopes are equal

The equation of the line into point-slope form is equal to

y - y₁ = m(x-x₁)

we have

m= -3/4

(x1,y1) = (8,-2)

substitute in the equation

y + 2= -3/4(x-8)

y = -3/4x + 6 - 2

y = -3/4x + 4 or 3x + 4y = 16

therefore

the answer is

y = -3/4x + 4

or

3x + 4y = 16


Related Questions

Simplify.
8V200 – 37162

Answers

Answer:

[tex]53 \sqrt{2} [/tex]

Step-by-step explanation:

[tex]8 \sqrt{200} - 3 \sqrt{162} [/tex]

[tex] = 80 \sqrt{2} - 27 \sqrt{2} [/tex]

[tex] = (80 - 27) \sqrt{2} [/tex]

[tex] = 53 \sqrt{2} [/tex]

20 points!!
Evaluate.

−26.6/−1= __________

Answers

Answer:

26.6

Step-by-step explanation:

simplify -26.6 divided by -1 to 26.6

Answer:

26.6

Step-by-step explanation:

- 26.6 / - 1

- 26.6 = - 1 x 26.6

- 1 = - 1 x 1

- 26.6 / - 1

= ( - 1 x 26.6 ) / ( - 1 x 1 )

= ( - 1 / - 1 ) x ( 26.6 / 1 )

= 1 x 26.6

= 26.6

Can we get enough salt distributed out to the residents of Utah before the zombies over take all of Utah?

options:

Yes, by the time Morton's salt distributes 5,700,000 cans of salt the zombie population will only be 3,670,016


No, by the time Morton's salt distributes 3,300,000 cans of salt the zombie population will be 3,670,016 and the zombies will have taken over


Not enough information is given to know if the zombies will infect all of the residents of Utah.


All of the above

Answers

Answer:

C

Step-by-step explanation:

... thanks for the points btw. Ummm... people ain't zombified... yet?

Answer:

Not enough information is given to know if the zombies will infect all of the residents of Utah?

Solve the system of equations by the substitution method.

x−2y=−4 x+8y=16

Answers

Answer:

x=0, y=2

Step-by-step explanation:

x-2y=-4

-x+8y=16

   -10y=-20

    y=2

x-2y=-4

x-2(2)=-4

x-4=-4

x=-4+4

x=0

Multiple Choice Find the mean: 12, 8, 7, 10, 8, 8, 10

Answers

Answer:

The mean is 9

Step-by-step explanation:

To find the mean, all you do is add up all the numbers and then divide by how many numbers there are. In this case, adding all then numbers up gives you 63, and there are a total of 7 numbers. 63 divided by 7 =9

Look at the right triangle in the diagram

Answers

Answer:

I would say C

Step-by-step explanation:

Which of the following equations are models for the ordered pairs shown in the table?


A. Y=4X+1
B. Y=1/4 X+1
C. Y=-4X+1
D. Y=-1/4 X+1

Answers

Answer is C
I hop this helpssss :):):)

what is 67 divided by5

Answers

Answer:

13.4 or 13 if rounded to the nearest 10th

Answer: 13.4

Solution

the restraunt bill is $56.39 what is a tip for 20% of bill

Answers

$11.28 so in total it would be $67.67

Select all statements that are true about the triangles.

Answers

Answer:

D

Step-by-step explanation:

Side andle side

What is 21,678 rounded to the nearest ten

Answers

Answer:

21,678 rounded to the nearest ten is 21,680

B.
B.
6.4 cm
114 cm
15 cm
1.5 cm
8 cm

-
Find volume

Answers

Answer:

143.4

Step-by-step explanation:

A square has a diagonal that is 36 mm long. What is the area of the square?
If necessary, round your answer to the nearest whole number.

Answers

Answer:

18mm

Step-by-step explanation:

in the triangle we will say:

36=x^2 +x^2

36=2x^2

so x will be = root 18

as the area = x*x

so root 18 * root18=18mm^2

The next model of a sports car will cost 4.1%, more than the current model. The current model costs $58,000 How much will the price increase in dollars? What
will be the price of the next model?

Answers

Answer:

$60378

Step-by-step explanation:

$58,000 represents 100% of the original cost

100 + 4.1= 104.1% = 104.1/100 = 1.041

Multiplying by 1.041 gives the cost after the increase

price = 53000 x 1.041  = $60378

PLEASE HELP WILL MAKE BRAINLIEST!
The expression ____ means 15 minus the product of 5 times the difference of p minus 6. If p = 8, then the value of the expression is 5.FILL IN THE BLANK
A.15 - 5p - 6
B.15 x 5 - (p - 6)
C.(15 - 5) x (p - 6)
D.15 - 5(p - 6)

Answers

Answer:

hope you like my answer its letter B

please help me with math

Answers

Answer:

Hope this helps

Step-by-step explanation:

Solve for t:
t + 7 = 21

A: t= 28
B: t= 14
C: t= -28
D: t= -14

Answers

t + 7 = 21

---Subtract 7 from both sides

t + 7 - 7 = 21 - 7

t = 14

Hope this helps!! :)

Answer:

B) t = 14

Step-by-step explanation:

Joseph compared the graphs of two functions. The first function wasf(x)=−2x+6. The second function fits the values in the table: x 2 5 8 11 y 2 -4 -10 -16 What is the distance between the y-intercepts of the two functions?

Answers

Answer: No difference

Step-by-step explanation:

The function f(x)=-2x+6 will produce the very same points in the table.

x y y calculated

2 2 2

5 -4 -4

8 -10 -10

11 -16 -16

The points are all on the line y=-2x+6. They describe the same line, which will have the same intercept.

A bakery sells 4 lemon poppy muffins for every 3 bran muffins sold. Which table represents the relationship between lemon poppy and bran muffins in

Answers

Answer:

The Answer is B

A = {1, 3, 5, 7, 9}

B = {2, 4, 6, 8, 10}

C = {1, 5, 6, 7, 9}

A ∪ (B ∩ C) =

Answers

Answer:

Answer is (1,3,5,6,7,9)

A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.

Answers

Answer:

Step-by-step explanation:

Begin by multiplying both sides by 2

2*A  =  2*(b1 + b2) * h/2                        Cancel the 2s

2A = (b1 + b2 ) * h                                 Divide both sides by (b1 + b2)

2A/(b1 + b2) = (b1 + b2)*h / (b1+b2)     Cancel B1 + b2

2A/(b1 + b2) = h

Farid's friend can't eat wheat, so Farid is baking him a loaf of gluten-free raisin bread. He mixes the dough and leaves it in a bowl to rise. Then, Farid forms the dough into a loaf and puts it in a pan to rise for another 1 /2 of an hour. In all, the dough rises for 1 3 /4 hours.

Answers

If you want to know how long he let it rose for at the beginning it is 1 hour and a 1/4

(4,-3),m=-1 in standard form

Answers

Answer:

Step-by-step explanation:

m = -1 ;  ( 4 , -3)

y - y1 = m(x - x1)

y - (-3) = -1(x - 4)

y+ 3 = -x + 4

Add  x to both side.

x +y + 3 = 0

Subtract 4 from both sides

    x + y  + 3 - 4 = 0

x +y - 1 = 0

What is the change from -1 to 7

Answers

+8 because -1 + 8 = 7
The answer to this question would be 8.

Christina is paying back the $120 she borrowed from her parents. If she pays $15 per week, how long will it take her to pay the $120?

Answers

Answer:

8 weeks

Step-by-step explanation:

i just divided 120 and 15

Answer:

It's 8 weeks

Step-by-step explanation:

because you basically take 120/15= answer or amount due divided by amount payed per (time choice)= time taken

I hope this helped!

3-1/8a=1/4

Pleasseeee help

Answers

3 - 1/8a = 1/4

The goal is to isolate "a" and its coefficient to make the simplification process easier.

Start by subtracting 3 from both sides:

3 - 3 - 1/8a = 1/4 -3

-1/8a = 1/4 - 3

Next, multiply 3 by 4/4 to convert it into a fraction:

-1/8a = 1/4 - [3 • (4/4)]

-1/8a = 1/4 - 12/4

-1/8a = - 11/4

Multiply both sides by -8:

(-8) -1/8a = - 11/4 (-8)

a = 88/4 = 22

Therefore, a = 22.
a = 22 the correct answer

Triangle ABC is reflected across the line y=2x to map onto triangle RST. Select all statements that are true.
AB = RS
AB = 2RS
ABC ~ RST
ABC = RST
m<BAC = m<SRT
m<BAC = 2m<SRT​

Answers

The reflection transformation in the question is a rigid transformation,

therefore, the image and the preimage are congruent.

The statements that are true are;

AB = RS∠ABC ~ ∠RSTΔABC = ΔRSTm∠BAC = m∠SRT

Reasons:

The given parameter are;

Triangle ΔABC is reflected across the line 2·X, to map onto triangle ΔRST

Required:

To select the true statements

Solution:

A reflection is a rigid transformation, therefore, the distance between corresponding points on the image and the preimage are equal.

Therefore;

AB = RS

BC = ST

AC = RT

Given that the image formed by a reflection is congruent to the preimage, we have;

ΔABC ≅ ΔRST

∠ABC ≅ ∠RST

m∠ABC = m∠RST by the definition of congruency

∠BCA ≅ ∠STR

m∠BCA = m∠STR by the definition of congruency

∠BAC ≅ ∠SRT

m∠BAC = m∠SRT by the definition of congruency

Therefore, the true statements are;

AB = RS; Image formed by rigid transformation∠ABC ~ ∠RST; Definition of similarityΔABC = ΔRST; By definition of congruencym∠BAC = m∠SRT; by the definition of congruency

Learn more here:

https://brainly.com/question/11787764

it a car is traveling at 60 miles an hour how long will it take to travel 1 mile

Answers

the answer is 1 minute because an hour has 60 minutes and it jus makes sense

Write a system of equations to describe the situation below, solve using substitution, and fill
in the blanks.
Devon just became a personal trainer and is finalizing her pricing plans. One plan is to charg
$51 for the initial consultation and then $48 per session. Another plan is to charge $38 for
the consultation and $49 per session. Devon realizes that the two plans have the same cost
for a certain number of sessions. What is that cost? How many sessions is that?
The cost on either plan is $|
for
sessions.
Submit

Answers

Answer:

13 sessions

The cost for either plan: $675

Step-by-step explanation:

48x + 51 = 49x + 38

51 - 38 = 49x - 48x

13 = x

2x( 3x + 5 ) - 3 ( 2x^{2} - 2x + 3)

Answers

Answer:

16x - 9

Step-by-step explanation:

2x(3x + 5) - 3 (2x² - 2x + 3) ← distribute parenthesis

= 6x² + 10x - 6x² + 6x - 9 ← collect like terms

= 16x - 9

Answer:

16X-9

Step-by-step explanation:

(2x)(3x)+(2x)(5)+(-3)(2x²)+(-3)(-2x)+(-3)(3)

6x²+10x+6x²+6x +-9

combine like terms

6x² +10x +-6x² +6x+-9

(6x² +6x² )+(10x+6x)+(-9)

16x+-9

16x-9

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