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

Can someone please help im very bad at these

Answers

Answer:

of the 30 students in the class, 2/3 are wearing jackets. How many students in the class are wearing jackets.

Step-by-step explanation:

For the first one, the equation would be 1/3(30)

for the second, the equation would be 3/2(30)

and the last on would be the same as the first. 1/3(30)

find the 10th and 21st terms of -3,1,5,9

Answers

Answer:

33, 77

Step-by-step explanation:

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

Answer:

The 10th Term is; 33.

The 21st Term is; 77

Step-by-step explanation:

You need to add 4 each time to get a term. The first term is -3 so -3+4=1. Then 1+4=5, and 5+4=9 and so on.

-3. 1 5 9 13 17 21 25 29 33 37 41 45 49 53 57 61 65 69 73 77

The price of a notebook has risen to $3.45 today. Yesterdays price was $3.20. find the percentage increase, round your answer to the nearest tenth of a percent.

Answers

Answer:

7.8%

Step-by-step explanation:

Yesterday’s price =$3.20

Today’s price =$3.45

Increase =today’s price - yesterday’s price

That’s $3.45 - $3.20

= $0.25

Percentage increase = increment /yesterday’s price x 100%

That’s $0.25/$3.20 x 100%

0.0781 x 100%

7.81

7.8%

How do you factor x^2 + 4x - 4?

Answers

Answer:

you cant factor it.

Step-by-step explanation:

Calculate the area of blue paint on the front of this house..
2 m
1 m
1 m
1 m
1 m
2 m
4 m
1 m
2 m
6 m

Answers

Answer:

21 m

Step-by-step explanation:

At a pumpkin patch, if Armando guesses the weight of his pumpkin within 0.3 pounds, he gets to take the pumpkin home for free. If his pumpkin weighs 4.9 pounds, which two equations can be used to find the minimum and maximum weights he can guess in order to get his pumpkin for free

Answers

Answer:

4.6 ≤ w ≤ 52.

Step-by-step explanation:

Lowest value = 4.6 and highest = 5.2.

So weight w ≥ 4.6

and w ≤ 5.2.

Find the unknown sizes of angles in the following figure (I need step by step explanation and i might give brainliest):​

Answers

Answer:

x = 54° , y = 29°

Step-by-step explanation:

The sum of the 3 angles in Δ ABC = 180° then

x = 180° - (72 + 54)° = 180° - 126° = 54°

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

x is an exterior angle of Δ CQR , then

y + 25° = x

y + 25° = 54° ( subtract 25° from both sides )

y = 29°

Answer:

x = 54

y = 29

Step-by-step explanation:

First, find the magnitude of x. To do this, add the angles inside triangle ABC, which means to add 72 + 54 + x which is equal to 180 because of the rule, the sum of the interior angles of a triangle is 180. So, when the equation is simplified, you get the answer as x = 54. Then, find the magnitude of y. The magnitude of an angle drawn around a point on a straight line is always 360, and the magnitude of the same point, but only on one side of the straight line is always 180. So, we can say that the unnamed angle in the triangle CQR is 180-x, which means 180-54 because we got x as 54 earlier. Therefore, the magnitude of the unnamed angle is 126. Now, apply the same rule we used before, the sum of the interior angles of a triangle is 180, to the triangle QCR. 25 + 126 + y = 180. When this is simplified, 29 is obtained.

To find x,

 72 + 54 + x = 180 (the sum of the interior angles of a triangle is 180)

        126 + x = 180

126 + x - 126 = 180 - 126

                  x = 54

To find y,

25 + 126 + y = 180

         151 + y = 180

 151 + y - 151 = 180 - 151

                  y = 29

Solve the problem based on the picture

Answers

Step-by-step explanation:

those are the x values in the graph above

now the slope

first, find the derivative = (-2*x)/(9+(6*x^2)+x^4)+(50*Cos(x))/(3+x^2)+((-100*x)*Sin(x))/(9+(6*x^2)+x^4)

then substitute the X values

the slope at first point=0.00214262528

the slope at secondpoint=0.29521512101

the slope at the third point=0.29521512101

FOR BRAINILY
Answer fast please

Answers

Answer:

37 degrees

Step-by-step explanation:

A triangle is 180 degrees total, so if you find what other number with 106 degrees equals 180 degrees you would get 37 degrees.

i think its 37 degrees sorry if incorrect

need help dont understand it

Answers

Answer:

It is Linear Increasing.

Step-by-step explanation:

If it is a straight line, it is a linear function. if it is NOT a straight line, then it is a non-linear function.

Edit: When the line starts from the top of the y-axis, then it is decreasing. If the line starts from the Origin Point (as shown in the picture you included), then it is increasing. I hope this helps you in Linear and Non-linear relationships.

All of the following are equivalent except _____.

(-2) 4
-2 4
(-2)(-2)(-2)(-2)
2 4

Answers

(-2) 4 is -8
-2(4) -8
(-2)(-2) is 4 (-2) is -8 (-2) is -16
2 4 is 8
if the question is referring to the only positive number it's D. If it's referring to the only different number it's -16

Answer:

a. -2 4

Step-by-step explanation:

The Cortez family is traveling from Miami to Washington, D.C. They plan to average 55 miles per hour on their trip.


About how many drive hours will it take the Cortez family to make the trip?

Answers

Step-by-step explanation:

Miami is approximately 1,054 mi away from Washington DC. assuming the Cortez family is driving in a straight line the time they will be on the road is

[tex]let \: h = hrs[/tex]

[tex] 1054mi \div \frac{55mi}{h } \\ \frac{1054mi}{1} \times \frac{h}{55mi} \\ = \frac{1054mi(h)}{55mi} [/tex]

The miles unit, mi cancels and leaves us with hours, h

[tex] \frac{1054 \: h}{55} \: \: \: \: is \: approx. \: \: \: \: 19.16 \: \: hrs[/tex]

If Sarah sold 20 bags of dog treats for $3.25 each, how much money did she earn? You must show your work to earn full credit.

Answers

Answer:

$65

Step-by-step explanation:

20 bags of dog treats multiplied by 3.25 = $65.00

Sarah made 65 dollars.

Answer:

Sarah earned $65.

Step-by-step explanation:

Create an equation.

20 representing the bags she has sold, 3.25 representing the value of each bag. If Sarah sold 20 bags of dog treats, with each of them being worth 3.25, then 20(3.25) = 65, meaning Sarah earned $65.

maths giving 10 point asap 1 question only





Find the value of P​

Answers

Answer:

p=7

Step-by-step explanation:

pqrs equal to tuv perimeters =60

triangle=20×3

60

Trapezium=(p+8)+12+12+3p

60=4p+32

4p=28

p=7

P:7 I THINK triangle: 20x3

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

3.5 hours

Step-by-step explanation:

You are trying to isolate X (get X by it self) to do that you need to divided both sides of the equation by 60 resulting in X=3.5

Divide both sides by 60 to isolate x

x=3.5 hours

Hope this helps you! :)

[tex]GraceRosalia[/tex]

HELP PLSSS THIS IS HARD SOMEONEEE

Answers

Answer:

Chase is correct. the first one

Step-by-step explanation:

Please can someone help me

Answers

Answer:

x = 19 and

y = 3

Step-by-step explanation:

40 + 8sqrt(x) - 5sqrt(x) - (sqrt x)^2 = y(sqrt x) + 21

40 + 3sqrt(x) - x = y (sqrt x) + 21

3sqrt(x) = y (sqrt x)

y = 3

40 - x = 21

40 - 21 = x

x = 10

answer :::: x = 19 and y = 3

69632 + 69469 - 59303 ​

Answers

Answer: 79798

Step-by-step explanation:

139101 - 59303

= 79798

please give me a brainliest answer

Answer:

79798

Step-by-step explanation:

  69632

+ 69469

=  139101

-   59303

=  79798

Hope this helps :)

a basketball player makes 140 out of 350 free throws. find the percent by using equivalent fractions​

Answers

Answer:

140/350 = 14/35 = 2/5 = 40/100 = 40%

Step-by-step explanation:

I hope this helps

<3

WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four

Answers

Answer:

[tex]3x - 4[/tex] ÷ [tex]\frac{1}{2}[/tex]

Evaluate a-b if a= -10 and b= -6

Answers

Answer:

-4

Step-by-step explanation:

if a=-10 and b=-6

a-b=-10- -6

=-10+6 which can be written as

=6-10

=-4

since -and-is+

The value of expression a-b if a= -10 and b= -6 is -4.

What is an expression?

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is a-b.

Here, a= -10 and b= -6

Substitute, a= -10 and b= -6 in the given expression, we get

a-b= -10-(-6)

= -10+6

= -4

Therefore, the value of expression a-b if a= -10 and b= -6 is -4.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

write 47% as a fraction is simplest form.

Answers

Answer:

47/100

Step-by-step explanation:

47 = 0.47 = 47/100

complete the table to summarize what you know about each rocket.

Answers

need more information. need to see the table

please answer the question in the picture <3​

Answers

Answer:

A. 40

Step-by-step explanation:

A plane travels a distance of 6,000 km in a time of 6.2 hours.
What is its average speed rounded to the nearest whole number?

Answers

Answer:

distance =6,000km

time =6.8 hrs

speed =distance /time =6,000/6.8=60000/68=882 km/h

plz make brainiest

3x(5+4)=7

what dose that =

Answers

the answer is x=-15/5

-x-2y=8 slope intercept form please

Answers

Answer:

Add x to both sides so the problem will become -2y =8+x, then you divide both sides by -2 to get y by itself. You will now have y=-4+-x. you'll need to double check this but it should be right. remember that slope intercept form is y=mx + b

Choose the grid reference number for the mine shown. A. 621333 B. 136233

PLEASE HELP ASAP!!!

Answers

Answer:

A.621333

Step-by-step explanation:

◑◑◑◑◑◑◑◑

Answer:

631226

Step-by-step explanation:

Apply the distributive property:
-3(x+2) =

Answers

Answer:

-3x-6

Step-by-step explanation:

you multiply x by -3 getting -3x then you multiply -3 by positve 2 getting -6

Hello skm413002!

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Apply the distributive property:

-3(x+2) =

[tex] \large \boxed{\mathbb{ANSWER\: WITH\: EXPLANATION} \downarrow}[/tex]

By applying the distributive property, we can solve it as....

[tex] \sf \: - 3(x + 2) \\ = \sf \: (- 3 \times x) -( 3 \times 2) \\ = \large \boxed{\boxed{ \bf - 3x - 6}}[/tex]

Method :-Distributive property.

Steps :-Multiply -3 with x & 2.Add the 2 products.You'll get the answer as -3x - 6.

__________________

Hope it'll help you!

ℓu¢αzz ッ

3x + y - 8 3y + 1 Simplified?

Answers

>> Algebra

__________

[tex] \: [/tex]

(3x + y - 8)(3y + 1) = ...

= 9xy + 3x + (y.3y) + 1y + (-24 - 8)

= 9xy + 3x + 3y² + y - 32

Answer:

may. be the ans is 3x +2y =9

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