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

Answers

Answer 1

Answer:

[tex]y=x+3[/tex]

Step-by-step explanation:

What we need to know

Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope of the line and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines have the same slope

1) Rewrite the equation x - y = 5 into slope-intercept form and identify the slope

[tex]x - y = 5[/tex]

Subtract both sides by x

[tex]x - y -x= -x+5\\-y= -x+5[/tex]

Divide both sides by -1

[tex]y= x-5[/tex]

Now, we can tell clearly that the slope (m) of this line is 1. Therefore, a line parallel to this would also have a slope of 1.

Plugging 1 as m into [tex]y=mx+b[/tex], we get:

[tex]y=x+b[/tex]

2) Find the y-intercept (b) of the line parallel to [tex]y= x-5[/tex] and find the final equation

[tex]y=x+b[/tex]

Plug in the given point (-5,-2)

[tex]-2=-5+b[/tex]

Add 5 to both sides

[tex]-2+5=-5+b+5\\3=b[/tex]

Therefore, the y-intercept of this line is 3. Now, plugging this back into our original equation, we get:

[tex]y=x+b\\y=x+3[/tex]

I hope this helps!


Related Questions

IF PASSPORT is written as RCUURQTV, then how will BOOKLET be coded?​

Answers

Answer:

im not completely sure but i think its either CQQMNFV or  DRRNMGW

Step-by-step explanation:

what is the value of 2/5 ( 1/3 + 1/2)

Answers

Answer:

1/3

Step-by-step explanation:

Answer: 2/5 (1/3 + 1/2) = 1/3 ≅ 0.3333333

Step-by-step explanation:

hi can you please help me with my work​ please no Link please no Link

Answers

Answer:

Its D i did this before cause I do i-Ready to! <3

a circular pizza that is 10 inches in diameter is cut into 8 equal slices. what is the area of one of the slices? round to the nearest tenth id needed

Answers

The area of one slice is roughly 14.13

The area of the whole pizza is 113.1
Divide that by 8

Find the MEAN
Sandra's scores on the first 5 tests were 87%, 92%, 76%, 92%, and 89%.

Answers

Answer:

87.2

Step-by-step explanation:

Add them all up and divide by how many scores.

Herons formula triangle is​

Answers

Answer:

Heron's formula (sometimes called Hero's formula), named after Hero of Alexandria, gives the area of a triangle when the length of all three sides are known. Unlike other triangle area formulae, there is no need to calculate angles or other distances in the triangle first.

Can someone please help me I am a no brain and very dum
Suppose 12% of students surveyed said they have tried riding a zip line.

a. How many would say they have tried riding a zip line if 100 students were surveyed.

Answers

200$ because that’s the percent

The area of the shape given above is?

Answers

Answer:

18 sq meters

Step-by-step explanation:

A = 1/2(3)(9 + 3)

A = 1/2(3)(12)

A = 18

The school is choosing a new mascot and new school colors. The choices for mascot are a lion, a bear, and a
porpoise, and the choices for colors are blue, black, brown, and grey. How many possible mascot and color
combinations are there?

Answers

Answer:

12 options

Step-by-step explanation:

Blue

Blue and Lion

Blue and Bear

Blue and Porpoise

Black

Black and Lion

Black and Bear

Black and Porpoise

Brown

Brown and Lion

Brown and Bear

Brown and Porpoise

Grey

Grey and Lion

Grey and Bear

Grey and Porpoise

There are 4 different colors and each of them can be assigned to 3 animals meaning there are 12 options to choose from

Jim bought some nice running shoes for $216. The sales
tax is 6.5% and he is paying cash with bills only because
he doesn't have any change. What is the least amount
he should give the cashier?

Answers

Answer:

231 dollars

Step-by-step explanation:

216*1.065(for the tax)=230.4 and since he is only paying bills you would add one more dollar to get 231

brainliest plz

Each one is 6.5 in total 5,000999999

hi can you please help me with my work and please no Link please no Link please​

Answers

Answer:

The second one, -11/12

Step-by-step explanation:

I used a website so sorry I don't have an explanation

A) 120
B) 125
C) 50
D) 100

Answers

180-80 is 100 answe is 100D
Same sides together make 180

Please help photos for my math

Answers

Answer:

1. Surface Area = 122                Volume = 84

2. Surface Area = 1632             Volume = 2880

3. Surface area = 168                Volume = 144

4. Volume = 1350[tex]\pi[/tex]

Step-by-step explanation:

1. This is a rectangular prism. To find the surface area it is the same thing. Find the area of all sides and add them together.  Because this is a rectangular prism most of the sides are equal so we will only need to find the area of three sides. To find the area of the right side, just do 4*3=12. That would be the same for the opposite side. Then to find the front side, do 7*4= 28. That would also be the same for the opposite side. Then to find the top side, do 7*3= 21. That is the same for the bottom side. Add them all together and you will get your answer. 28+28+21+21+12+12 = 122.

To find the volume of a rectangular prism the formula is V = l*w*h.

Plug in: V = 7*3*4 and then you will get 84.

2. This is a triangular prism. First find the area of the the triangular surface by multiplying the base x height and dividing by 2. (16*12)/2 = 96.  That is the same for the opposite side. Then find the area of the bottom rectangular surface. 12*30 = 360. Then find the area of the back rectangular surface. 16*30 = 480. Then find the area of the final base rectangle. 30*20 = 600. Add them together and you will get 1632. Basically, find the area of all sides and then add them together.

To find volume the formula is, V = (1/2)a*c*h

Fill that in: V = (1/2)16*12*30 and then you will get 2880.

3. This is a trapezoidal prism. To find the surface area you would find the area of all sides then add them together. To find the are of a trapezoid, the formula is: A = [tex]\frac{a+b}{2}[/tex]h

Fill that in: A = [tex]\frac{4+12}{2}[/tex](6) and then you will get 48.

That is the same for the opposite side. Then you need to find the area of the rectangular side of the trapezoidal prism. 3*4= 12. This is also the same as the opposite side. The bottom side is 12*3= 36. The top side is 3*4= 12.

Add all of them together and you get 168.

1/2(4+12)*6

To find volume, V =  [tex]\frac{1}{2}[/tex]h(b₁+b₂)h.

Fill in: V =  [tex]\frac{1}{2}[/tex]6(12+4)3 and then you will get 144.

4. This is a cylinder. The formula to find the volume is A=[tex]\pi[/tex]r²h. Because you are leaving the answer in terms of pi, do not multiply pi into the equation.

So you would do r²h. 15² = 225. 225*6= 1350. So your answer would be 1350[tex]\pi[/tex].

Question is down in the image|||

Answers

Answer:

A

Step-by-step explanation:

A right cylinder has a height of 8 inches and a volume of 400 cubic inches.
Which measurement is closest to the radius, in inches, of the cylinder?
A. 4
B. 8
С. 16
D. 50

Answers

Answer:

Step-by-step explanation:

its D because 400 divided by 8 is 50

[tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

Volume of cylinder

Height of a cylinder [tex](h)=8[/tex] inches

Volume of a cylinder[tex]=400[/tex] cubic inches

Let [tex]r[/tex] denotes radius of a cylinder.

Volume of a cylinder [tex]=\pi r^2 h[/tex]

[tex]400=\frac{22}{7}r^2 (8)[/tex]

[tex]r^2=15.9\\r=3.99[/tex]

So, [tex]\boldsymbol{4}[/tex] is closest to the radius, in inches, of the cylinder.

So, option A. is correct.

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(8)
Tricia used 2 bags of sugar to bake some cupcakes.
She used of another bag of sugar to make some macaroons.
How many bags of sugar did she use altogether?
bags of sugar​

Answers

Answer:

She used 3.

Step-by-step explanation:

You have 2 bags.

You have another bag.

You use all of them.

How many did you use altogether?

3.

Tricia used 2.5 bags of sugar altogether.

What is an expression?

In mathematics, an expression is a combination of numbers, variables, operators, and/or functions that represents a mathematical quantity or relationship. It can be as simple as a single number or variable, or it can be more complex, involving multiple terms and operations.

Tricia used 2 bags of sugar to make cupcakes and used 1/2 of another bag of sugar to make macaroons.

Therefore, the total amount of sugar she used is:

2 + 1/2 = 2.5 bags of sugar.

So, The number of bags Tricia used was 2.5 bags of sugar altogether.

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Which describes the effect of the transformations on the graph of f(x) = x? when changed to f(x) = - (x - 2) + 3?

Answers

Answer:

Strerch by factor of 5 on y-axis.

Shift by 4 to the left on x-axis.

Shift by 6 up the y-axis.

Hope this helps.

Step-by-step explanation:

How many ounces are in 2 pounds

Answers

Answer:

the answer is 32 ounces

Answer:

In 2 pounds, there are 32 ounces.

Explanation:

1 pound = 16 ounces

Let tan theta= 5/12, where sin theta> 0.
Find the exact value of sec theta​

Answers

Answer:

5/13

Step-by-step explanation:

1. We are given tan(x)=5/12 .....(2)

2. On comparing the quantities we get that p=5 and b=12

3. We require the value of hypotenuse(h),

for this we apply the Pythagoreum theorum: p^2+b^2=h^2

⇒h^2=5^2+12^2

⇒h^2=25+144

⇒h^2=169

⇒ h=√169

⇒ h=13

Sin=p/h

p=5

h=13

Sin=5/13


4)Greg's backyard is 47 feet wide. How many yards and feet is this

Answers

Answer: 15 Yards 2 feet

Step-by-step explanation:

3 feet in a yard

45/3 = 15

2 remaining = 2 feet

Answer:

15.667 in yards

Step-by-step explanation:

Which of the following is a degenerate circle?
O A. r?+ y2 = 5
O B. x+y=7
O c. x² + y² = -2
O d. (x - 5)²+(y - 3)2 = 0

Answers

The answer is D to your question

the Equation A. r²+ y² = 5 degenerate the circle.

What are the properties of the circle?

The circumference, which is the distance around the object, the diameter, which is the length of a circle measured from one end to the other and passing through its center, and the radius, which is equal to half of the diameter, are the three key characteristics.

The general coordinate equation of a circle is:

(x-h)² + (y - k)² = r²

Where,

(h, k) is the center of a circle,

"r" is the radius of the circle.

Only option A, r²+ y² = 5

Satisfies the general equation of the line,

thus, From option A the coordinates of the circle on the plane r-y

is (0, 0) and the radius of the circle will be √5.

From option B,  x+y=7

It is the equation of the line.

From option C, x² + y² = -2

The sum of two squares can not be negative so it is not a real equation

From equation D, (x - 5)²+(y - 3)² = 0

The radius of a circle can not be zero otherwise it will become a point.

therefore, the Equation A. r²+ y² = 5 degenerate the circle.

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Complete question:

Which of the following is a degenerate circle?

O A. r²+ y² = 5

O B. x+y=7

O c. x² + y² = -2

O d. (x - 5)²+(y - 3)² = 0

Write 98 as the product of prime factors.
Write the prime factors in ascending order. ​

Answers

Answer:

2 * 7 * 7 = 98

hope this answer helps you!

HELPPPPPPP PLZZZZ I DONT GET IT

Answers

Answer:

See below

Step-by-step explanation:

[tex]1) \: \frac{1}{2} \times 5 \times 6 = 15 \: {cm}^{2} \\ \\ 2) \: \frac{1}{2} \times 10 \times 6 = 30 \: {cm}^{2} \\ \\ 3) \: 5 \times 3 = 15 \: {cm}^{2} \\ \\ 4) \: 10 \times 6= 60\: {cm}^{2} [/tex]

⚠️WILL GIVE BRAINLIEST!!!

Answers

Answer: 42 Units Cubed

Step-by-step explanation:

Volume of a Prism is typically length * width * height

in the problem the 5 and 1/4 is the area of that base so it is is the height and width already multiplied

so now just multiply the length, which is 8, to the area of the base to find the volume

[tex]8*5\frac{1}{4} \\8*\frac{21}{4} \\2*21\\42[/tex]

Answer:

[tex]volume \: = cross sectional \: area \times height \\ = 5 \ \frac{1}{4} units {}^{3} \times 8units \\ = \frac{21}{4} \times 8 \ \\ = 42units {}^{3} [/tex]

Write the equation in standard form, then identify center and radius of circle.

Answers

Answer:

Step-by-step explanation:

Given

x^2 + y^2 - 16y - 36 = 0

x^2 + y^2 - 16y = 36

x^2 + y^2 - 16y + (16/2)^2 = 36 + 8^2

x^2 + (y - 8)^2 = 64 + 36

x^2 + (y - 8)^2 = 100

The center is at (0,8) and the radius is 10

Try and follow it from the graph below.

If the y-intercept of your quadratic is (0,5) and your axis of symmetry is x=4,
determine a second point on your quadratic graph based on this information.

Answers

The axis of symmetry goes through the x-value. 4. So your equation for your axis of symmetry is going to be x equals. 0 (undetermined)

- branliest will be appreciated

Thanks

A tree grows at a rate of 1.2 centimeters per day. How many meters will it grow in 80 days?

Answers

Answer:

0.96meters

Step-by-step explanation:

1.2*80 = 96

96cm = 0.96meters

What is the volume of this container?

Answers

Answer:

420

Step-by-step explanation:

Helpppppp plsssssss


Will give brainly

Answers

Answer:

12 sq cm

Step-by-step explanation:

Area of rectangular pyramid = Area of base which is square + 4 times the area of one triangle.

[tex] = {2}^{2} + 4( \frac{1}{2} \times 2 \times 2) \\ \\ = 4 + 4(2) \\ \\ = 4 + 8 \\ \\ = 12 \: {cm}^{2} [/tex]

10. Silas has 5 1/4 cups of flour. He uses 3 1/2 cups to bake bread, then he borrows another 2 cups from his neighbor. He wants to bake cookies, which take 2 3/4 cups of flour. Does he have enough? How much will he have left over, or how much more does he need? a Yes, he has 1 cup left. B No, he needs 1 cup more. c Yes, he has 1 cup left. 0 No, he needs 1 cup more.​

Answers

Answer:

A, Yes, he has 1 cup left

Step-by-step explanation:

5.25 at the start

5.25 - 3.5 = 1.75

1.75 + 2 = 3.75

3.75 - 2.75 = 1

Answer:

1

Step-by-step explantion:

bam theres the answer, its 1.

yes he has 1 cup left

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