Write an equation in slope-intercept form for the line parallel to y= -7x-9 that passes through the point (4,9). Show your work. Thank you :)

Answers

Answer 1

Answer:  y=-7x + 37

Step-by-step explanation:

Parallel lines will have the same slope but different y-intercepts  so again we can  use the coordinates to determine the y intercept of the new equation.

So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.

9 = -7(4) + b

9 = -28 + b

+28  +28

b = 37  

The equation will be y= -7x + 37

Answer 2

The equation of line passes through the point (4, 9) will be;

⇒ y = - 7x + 37

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (4, 9).

And, The parallel line is,

⇒ y = - 7x - 9

Now,

Since, The equation of line passes through the point (4, 9).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = - 7x - 9

m = dy/dx = - 7

m = - 7

Thus, The equation of line with slope - 7 is,

⇒ y - 9 = -7 (x - 4)

⇒ y - 9 = - 7x + 28

⇒ y = - 7x + 28 + 9

⇒ y = - 7x + 37

Therefore, The equation of line passes through the point (4, 9) is,

⇒ y = - 7x + 37

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Related Questions

How many tattoos does Niall Horan have?

Answers

Answer:

0

Step-by-step explanation:

hope this helps with your math

Answer:

none

Step-by-step explanation:

Alessandra is raising turtles and must keep the air temperature in their enclosure at 32. C , with a relative error less than 3%. Write an absolute value inequality for the actual temperature

Answers

The absolute value inequality for the temperature T is:

|T - 32°C| < 0.96°C

How to write the absolute value inequality?

The general way of writing these inequalities is:

|variable - average value| < accepted error.

Here the variable is the temperature so we can use T for it.

The average is 32°C, and the accepted error is less than 3%, so it is:

0.03*32°C = 0.96°

Then the absolute value inequality will be:

|T - 32°C| < 0.96°C

Where it means that the temperature will be at less of 0.96°C of the 32°C.

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Is -0.11 a natural number?

Answers

Answer:

No it's not.

Step-by-step explanation:

A natural number is the subset of:

Positive numbersDoesn't include Zero.

Hope this helps ;) ❤❤❤

Answer:

No

Step-by-step explanation :

a natural number is a positive integer greater than 0 and a number that does not include a decimal point.

Can somebody help me?

Answers

Answer:

I believe there are 4.

Step-by-step explanation:

Verticle angles- 2 angles whose sides are opposite rays. For example "X" has 4 verticle angles. There are two "X"'s in the diagram therefore 8 verticle angles are provided! However the question says how many pairs. There are 4 pairs, there fore there are 4 verticle angle PAIRS.

Hope I could help! :))))

Which of the following functions describes this graph?

Answers

Answer:

the answer is B.

i hope this helps you! <3

Step-by-step explanation:

4. A pizzeria bakes 6 dozen slices of pizza an hour. How many slices are baked
each minute? Record only the numerical part of your answer.

Answers

first you wanna know how many 6 dozen is (6x12 which is 72).
so in 60 minutes they make 72 slices of pizza, to work out how many they make per minute you need to work out 72 ÷ 60
this =1.2
i’m guessing you’d then have to round it to the nearest whole number but it depends on what the question specifies


Which problem can we solve with 1/3 divided by 4.

Answers

Step-by-step explanation:

1/3÷4

1/3×4

4/3the answer is 4/3

A company is looking to hire a lawyer. One law firm states that their legal fees can be determined using the expression 350x + 22,000, where x is the number of hours of legal assistance. A second law firm states that their legal fees can be determined using the expression 410x+16,000. The company president wants to know when the legal fees would cost the same for each law firm. What number of hours of legal assistance makes the equation 350x+22,000 = 410x+16,000 true?

Answers

Answer:

100 hours

Step-by-step explanation:

The number of hours of legal assistance that makes the expressions 350x+22,000 = 410x+16,000 true is 100 hours.

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. 

We have,

Two expressions that denoted the legal fees for x hours:

350x + 22,000 ____(1)

410x+16,000 _____(2)

Where x = number of hours

The number of hours where both the legal fees are equal:

350x + 22,000 = 410x + 16,000

Subtract 350x on both sides.

22,000 = 410x -350x+ 16,000

22,000 = 60x + 16,000

Subtract 16,000 on both sides.

22,000 - 16,000 = 60x

6,000 = 60x

Divide both sides by 60.

x = 100

Thus,

The number of hours of legal assistance that makes the expressions 350x+22,000 = 410x+16,000 true is 100 hours.

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A container holds 4 cups of cookie dough and a serving is 1/3 cup. How many servings are in one container of cookie dough?​

Answers

There are 12 servings.

Answer:

4 x 1/3 is 12

Step-by-step explanation:

Because, the whole number 4 is in front and when you multiply you get 12.

How many significant figures does 00.4463 have?

Answers

4 I'm not sure tho, good luck

4. Mrs. Brown can buy student movie tickets for $8 and adult tickets for $15.
Determine the total cost Mrs. Brown would pay for 3 student tickets and 2 adults?

Answers

Answer: Total of $54

Step-by-step explanation:

for the past five baseball seasons miguel had 122 45 109 124 and 115 hits what is his median number of hits for the past five seasons

Answers

Answer:

His median hit = 115

Step-by-step explanation:

Given:

122 45 109 124 and 115 hits

To find his median hit, you will either arrange the hits in ascending order or descending order

In ascending order (lowest to highest value)

45, 109, 115, 122, 124

In descending order (highest to lowest value)

124, 122, 115, 109, 45

It can be observed that thehe hits are 5

The median is the middle value

From either the ascending or descending order arrangement, 115 is the middle hit.

Therefore, his median hit = 115

what is 4 fifteenths plus 11 twelves in simplest form

Answers

Answer:

192

Step-by-step explanation:

4(15)+11(12)

15+15+15+15=60

4(15)=60

12+12+12+12+12+12+12+12+12+12+12=132

11(12)=132

60+132=192

Hope this helps ;) ❤❤❤

8)
Solve for x.
-3x - 8 = 10
A)
-54
B)
-6
C)
6
D)
5
54

Answers

Answer:

X= -6 (B)

Step-by-step explanation:

-3x=18

X=18/-3

X= -6

I have fewer than 25 acorns.
I have more than 21 acorns.
Draw how many acorns I could have.

Answers

Answer:

21 < a < 25

Step-by-step explanation:

More than 21 acorns is represented by 21 <

Fewer than 25 acorns is represented by < 25

Let a be the number of acorns you could have.

21 < a < 25

Complete the equation describing how x
and y are related.


Answers

The correct answer would be 3.

Explainition is, -2 x 3 = -6. -1 x 3 = -3. All of the x’s times by three gets the y number (:

Solve the equation A = bh for b.

a) b = Ah

b) b = A/h

c) b = h/A

d) b = h – A

Answers

Answer:

b)b=A/h

Step-by-step explanation:

A=bh

Dividing both side by h,

or, b=A/h

OR,

A=bh

or, b=A/h

HOPE IT IS HELPFUL FOR YOU

PLEASE MARK ME AS A BRAINEST

Answer: b = A/h

Step-by-step explanation:

(25 POINTS!!!!) a rectangular garden measures 5 feet by 4 feet. The length and width are both increased by the same amount and the new area is 56 square feet. What are the new dimensions of the garden?

Answers

Both sides increased by 3 feet each. i.e. 8 feet by 7 feet = 56 square feet.

The new dimensions of the garden are 8 feet and 7 feet.

What is rectangle?

A rectangle is a part of a quadrilateral, whose sides are parallel to each other and equal.

Given that,

The length of rectangular garden = 5 feet,

And the width of rectangular garden = 4 feet.

The area of rectangular garden = 5 x 4 = 10 square feet.

Let the length and width are increased by x feet, to make the new area 56 square feet.

The new length = 5 + x,

and new width = 4 + x.

The area = 56

(5 + x) × (4 + x) = 56

Substitute, x= 3 which satisfies the equation,

So, the new length of garden = 5 + 3 = 8 feet,

And the new width of garden = 4 + 3 = 7 feet.

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Solve: 1 x + 2 = -x + 7

10

5/2

2/5

20

Answers

Answer:

5/2

Step-by-step explanation:

1x+2=-x+7

2x=5

x=5/2

3х2- х +7+ 5х +2 – 2х2

Answers

Answer:

[tex] x^2 + 4x + 9 [/tex]

Step-by-step explanation:

3х^2 - х + 7 + 5х + 2 – 2х^2

Combine like terms. Like terms have the same variables and the same exponents.

3x^2 and -2x^2 are like terms and can be combined.

-x and 5x are like terms and can be combined.

7 and 2 are like terms and can be combined.

3х^2 - х + 7 + 5х + 2 – 2х^2 =

= 3х^2 – 2х^2 - х + 5х + 7 + 2

= x^2 + 4x + 9

Need Help on Pre Cal

Answers

Answer: 17

======================================================

Explanation:

This is a piecewise function. It's composed of 3 pieces of other functions. A piecewise function is a function that changes its identity based on what the input is.

We have three different situations here

If t = 17, then h(t) = sqrt(17t) based on what the first row saysIf t = 19, then h(t) = -34/t which is the second row of the piecewise function.If t does not equal either 17 or 19 (ie t is anything but those values), then h(t) = 23-t

The notation h(17) means we want to evaluate h(t) when t = 17. So we'll use the first case mentioned above. Plug t = 17 into h(t) = sqrt(17t) to get...

h(t) = sqrt(17t)

h(17) = sqrt(17*17)

h(17) = sqrt(17^2)

h(17) = 17

In the last step, I used the rule that sqrt(x^2) = x when x is nonnegative.

Evaluate the expression below for a= -9, b= -4.8 and c = 8


-c+b-a=

Answers

Answer:

-3.8

Step-by-step explanation:

a= -9, b= -4.8 and c = 8

Evaluating in steps:

-c+b-a=- 8 + (-4.8) - (-9) =- 8 - 4.8 + 9 = (9 - 8) - 4.8 = 1 - 4.8 = - 3.8

The left and right page numbers of an open book are two consecutive integers whose sum is 283. Find these page numbers

Answers

Answer:

141 142  got u

Step-by-step explanation:

Answer:

Step-by-step explanation:

What is the domain of the function graphed below?

Answers

Answer:

Domain: 0, 5

Range: 0, 2

Step-by-step explanation:

The Domain is the first coordinate which is x.

The Range is the second coordinate which is y.

Hope This Helps :)

The domain of the function will be 0 <  x ≤ 5. The correct option is A.

What is a domain?

In mathematics, a domain typically refers to a set of values for which a particular function or equation is defined. For example, the domain of the function f(x) = 1/x is all real numbers except for x = 0 since the function is undefined at that point.

The Domain is the first coordinate which is x. The Range is the second coordinate which is y.

The domain of the given graph in the image will be calculated as,

0 < x ≤ 5

Therefore, the correct option is A.

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Find the cube root(s): ∛1

Answers

Answer:

1

Step-by-step explanation:

1 times 1 times 1 = 1

what value of n makes the equation ? 4(0.5-3)=n-0.25(12-8n)​

Answers

Answer:

4(0.5-3)=n-0.25(12-8n)

2-12=n-3+2n

-10=-3+3n

-10+3=3n

-7=3n

n=-2.3

Answer: n= -7/3

Step-by-step explanation:

4(0.5 - 3) = n - 0.25(12 -8n)  solve for n .

2 - 12 = n - 3 + 2n  

 -10 = 3n - 3

+ 3           +3

n = -7/3

Why do you think wars cause periods of high inflation

Answers

Answer:

because countrys are printing money because they dont have a lot

Step-by-step explanation:

due to the smoke

Step-by-step explanation:

by so much gun fire from canons and bombs so much smoke and destruction in the air will cause high inflation

The measure of the complement of the supplement of angle A is 28°. The measure in degrees of angle A is​

Answers

You can put this solution on YOUR website!

Define your variables,

Let X be your Angle

Then 180 - X is your Supplement

and 90 - X is your complement

Now you need to put these into an equation, this particular word probled does not have the equal sign "IS" however, the word measure0-xs, is the same, so that is where your = sign will go.

Your Equation should be...

180-x=2*(90-x)+28

Distribute

180-x=180-2x=28

Subtract 180 From Both Sides and add 2X to Both Sides

X+=+28

Your angle is 28, the Supplement is 152 and your Complement is 62

Evaluate 5y+x2÷2 when x=4 and y=−3. When x=4 and y=−3, 5y+x2÷2=

Answers

The answer is 5 x -3 + 4 x 2 / 2 = -15 + 8 / 2 = -11

What is the value of x?
6.75+3/8×=13 1/4

Answers

Answer:

x = 17.3333

Step-by-step explanation:

Solve for x:

(3 x)/8 + 6.75 = 13 + 1/4

Hint: | Put the fractions in (3 x)/8 + 6.75 over a common denominator.

Put each term in (3 x)/8 + 6.75 over the common denominator 8: (3 x)/8 + 6.75 = (3 x)/8 + 54/8:

(3 x)/8 + 54/8 = 13 + 1/4

Hint: | Combine (3 x)/8 + 54/8 into a single fraction.

(3 x)/8 + 54/8 = (3 x + 54)/8:

(3 x + 54)/8 = 13 + 1/4

Hint: | Put the fractions in 13 + 1/4 over a common denominator.

Put 13 + 1/4 over the common denominator 4. 13 + 1/4 = (4×13)/4 + 1/4:

(3 x + 54)/8 = (4×13)/4 + 1/4

Hint: | Multiply 4 and 13 together.

4×13 = 52:

(3 x + 54)/8 = 52/4 + 1/4

Hint: | Add the fractions over a common denominator to a single fraction.

52/4 + 1/4 = (52 + 1)/4:

(3 x + 54)/8 = (52 + 1)/4

Hint: | Evaluate 52 + 1.

52 + 1 = 53:

(3 x + 54)/8 = 53/4

Hint: | Multiply both sides by a constant to simplify the equation.

Multiply both sides of (3 x + 54)/8 = 53/4 by 8:

(3 x + 54)/(8 1/8) = 1/4×1/(1/8) 53

Hint: | Any nonzero number divided by itself is one.

1/8×1/(1/8) = 1:

3 x + 54 = 1/4×1/(1/8) 53

Hint: | Write 1/4×1/(1/8) as a single fraction.

Multiply the numerator of 1/4×1/(1/8) by the reciprocal of the denominator. 1/4×1/(1/8) = 1/4×8:

3 x + 54 = 1/4×8×53

Hint: | Express 1/4×8×53 as a single fraction.

1/4×8×53 = (8×53)/4:

3 x + 54 = (8×53)/4

Hint: | In (8×53)/4, divide 8 in the numerator by 4 in the denominator.

8/4 = (4×2)/4 = 2:

3 x + 54 = 2×53

Hint: | Multiply 2 and 53 together.

2×53 = 106:

3 x + 54 = 106

Hint: | Isolate terms with x to the left hand side.

Subtract 54 from both sides:

3 x + (54 - 54) = 106 - 54

Hint: | Look for the difference of two identical terms.

54 - 54 = 0:

3 x = 106 - 54

Hint: | Evaluate 106 - 54.

106 - 54 = 52:

3 x = 52

Hint: | Divide both sides by a constant to simplify the equation.

Divide both sides of 3 x = 52 by 3:

(3 x)/3 = 52/3

Hint: | Any nonzero number divided by itself is one.

3/3 = 1:

x = 52/3

Hint: | Express 52/3 in decimal form.

52/3 = 17.3333:

Answer: x = 17.3333

Answer:

52/3

Step-by-step explanation:

The  answer above me ^^

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