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

NO LINKS OR ASSESSMENT!!!
Part 6: Write a rule to describe each transformation.

Answers

Answer:

(x, y) → (x, y - 3)

Step-by-step explanation:

We observe a vertical shift.

The shift is negative by 3 units.

The rule for this translation is:

(x, y) → (x, y - 3)

1. Which equation is equivalent to the equation 6x + 9 = 12?
A. x + 9 = 6
B. 2x + 3 = 4
C. 3x + 9 = 6
ol
DL
D. 6x + 12 = 9

Answers

Answer:

D

Step-by-step explanation:

because I solved generalization and defined to solving for the unknowns

will summarize

Please help some one and if you could explain please

Answers

Answer:

t = 1 second

Step-by-step explanation:

initial height = 16

penny to hit the ground = 0

0 = -16t^2 + 16

-16 = -16t^2 ÷

-16 ÷ -16 = -16t^2 ÷ -16

1 = t^2

√1 = √t^2

1 = t

Serena deposits $1200 into a savings account that earns simple interest. The interest is applied to her account at the end of each year. Complete the table

Answers

Answer:

lu have to ask mss v for the question

27. Representative Sample? You want to determine the average number of classes skipped by
first-year students at a small college during a particular semester. State whether each of the
following samples is likely to be representative and explain why or why not.
Sample 1: 100 first-year students who belong to a sorority or fraternity
Sample 2: 100 first-year students who play a varsity sport
Sample 3: The first 100 first-year students whom you meet at the student union
Sample 4: 100 first-year students taking honors humanities,, courses

Answers

A sample is said to be representative if the selection made form have population is free of bias. Evaluating the selection criteria listed above :

Sample 1 will not likely be representative as students who do not belong to either a sorority or fraternity are automatically exempted from the selection.

Sample 2 will not likely be representative because not all students play a varsity sport, hence students who do not play a varsity sport won't have a chance of being selected.

Sample 3 is a convenience sampling technique, they often exhibit sampling bias hence, sample 3 is not representative of the population.

Sample 4 will not likely be representative as students taking other courses aside humanities have no chance of being selected.

Therefore, all the sampling methods are not representative of the population of first year student.

Learn more : https://brainly.com/question/18405415

X+1/4=-5/20
Algebra
Solve for X

Answers

Answer:

[tex]x + \frac{1}{4} = \frac{5}{20} \\ x + \frac{1}{4} = \frac{1}{4} \\ x = \frac{1}{4} - \frac{1}{4} \\ x = 0 \\ thank \: you[/tex]

Si una semana después la caja fue agrandada 0.43m2 porque llegó una nueva serpiente ¿ahora cuánto mide el piso de la caja

Answers

The length of the floor of the box with an area of [tex]0.43m^2[/tex] is 0.66m

Let the area of the enlarged portion be a square and the formula is expressed as:

[tex]A = L^2[/tex]

L is the side length or the floor of the box.

Given the following parameters:

[tex]A = 0.43m^2[/tex]

Substitute the given parameters into the formula as shown:

[tex]0.43 = L^2\\L =\sqrt{0.43}\\L= 0.6557[/tex]

Hence the length of the floor of the box with an area of [tex]0.43m^2[/tex] is 0.66m

Learn more here: https://brainly.com/question/17182640

On a coordinate plane, which point lies on the x-axis?

Answers

Answer:

the origin

Step-by-step explanation:

How to find t= 2,500•(1.1)^100 round to the nearest whole number

Answers

Answer:

2600

Step-by-step explanation:

you added 2;500 to the 100

HELP ASAP!!!
I’ll make it Brainliest

Answers

Answer:

The answer to number 1 is c.

For the second one, I think it's D but I'm not sure.

Step-by-step explanation:

The median is the middle number of a list where all the numbers are listed from least to greatest.

Please tell me if I was right on the second one.

A triangle has side lengths of (5.9d – 1.1f) centimeters, (3.4d – 9.1g)

centimeters, and (8.1g – 9.3f) centimeters. Which expression represents the

perimeter, in centimeters, of the triangle?

Answers

Answer: 9.3d−g-10.4f

Step-by-step explanation:

The elevator is a business center has a weight limit of 1800 pounds assume the average person weighs 160 pounds and has 3 pounds of items with them what is the greatest number of people that can ride the elevator at one time

Answers

11 people. 160+3 = 163. 1800/163 = 11.0429. Since you can not have a part of a person you have to round down to 11

In slope intercept form y=mx+b, the y-intercept is located at (0,b).

a. What equation results from substituting (0,b) for (x1,y1) in the point-slope form y-y1= m(x-x1)?

b. How are the slope-intercept and the point-slope forms related?

a . When (0,b) is substituted for (x1,y1) in the point-slope form y-y1=m(x-x1). the result is__
( Type an equation )
Please Help asap

Answers

Step-by-step explanation:

a. Substituting (0,b) into the point-slope form, we get y = mx + b. Plug in 0 to the x1 value and plug in b into the y1 value. Add b to both sides and you should get y = mx+b.

b. Slope-intercept shows how to get specific x or y values at a point if three of the four variables (y, m, x, or b) are known. Point slope form is used mainly when finding the slope from two distinct points. (Later, you'll learn it's importance in the definition of a derivative :).)

c. y = mx + b. Refer to a.

Answer:

a) y-b=m(x-0)

b) (x1, y1) , point-slope, y, slope-intercept

Explanation

14,406 minus negative
627

Answers

Answer:

15033

Step-by-step explanation:

14,406 -(-627)

currently get paid $12.00 an hour and I really want to make an extra $300.00 by working overtime. I'll need to work __________ extra hours

Answers

Answer:

25

Step-by-step explanation:

300/12 = 25

Write 47/11 as a decimal. If necessary, use a bar to indicate which digit or group of digits repeats

Answers

it would be 4.2727, just round and you should get 4.3. sorry if i’m wrong

please help me with they math I wil lvote brainlyest

Answers

Answer:

Question no 3...

answer is 24

Question no 4

answer is 3.562*10^3

Name:
Date:
Period:
DLD: Solving Percent Problems
1. A bakery makes different flavors of muffins. On Tuesday, the bakery made 30
chocolate muffins and 90 blueberry muffins.
What percentage of the sandwiches were chocolate? Draw a tape
diagram to show how many flavors have chocolate and how many don't.

Answers

According to the calculations made through cross multiplication, 25% of the muffins were chocolate.

Given that a bakery makes different flavors of muffins, and on Tuesday, the bakery made 30 chocolate muffins and 90 blueberry muffins, to determine what percentage of the sandwiches were chocolate, the following cross multiplication calculation must be performed:

90 + 30 = 100 30 = X 120 = 100 30 = X 30 x 100/120 = X 3000/120 = X 25 = X

Therefore, 25% of the muffins were chocolate.

Learn more in https://brainly.com/question/15633501

PLS HELP! Will give brainliest!

Answers

Answer:

yes they are inverses.

a.). x

Step-by-step explanation:

that's all

Please help will mark brainliest PLZZZZZZzzz

Answers

Answer:

see explanation

Step-by-step explanation:

The reciprocal of a number n is [tex]\frac{1}{n}[/tex]

(a)

1 [tex]\frac{6}{7}[/tex] ← change to an improper fraction

= [tex]\frac{13}{7}[/tex]

Then its reciprocal is [tex]\frac{1}{\frac{13}{7} }[/tex] = [tex]\frac{7}{13}[/tex]

(b)

The reciprocal of [tex]\frac{7}{13}[/tex] is [tex]\frac{1}{\frac{7}{13} }[/tex] = [tex]\frac{13}{7}[/tex] = 1 [tex]\frac{6}{7}[/tex]

(c)

Each is the reciprocal of the other

use benchmarks
3\5 + 3\17

Answers

3/15 Multiply both top and bottom by 17 to get 51/85
3/17 Multiply both top and bottom by 5 to get 15/85
Add
3/5+3/17
51/85+15/85
66/85

Dilate Triangle ABC so it's scale factor is 3 and the center of dilation is the origin.

A(1,1)
B(3,1)
C(2,3)

Answers

Step-by-step explanation:

Dilation :

the scale factor is 3 and the center of dilation is the origin.

A(1,1) => A'(3, 3)

B(3,1) => B'(9, 3)

C(2,3) => C'(6,9)

The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.

What is a transformation?

On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.

As per the given question,

We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.

A(1,1) → A'(3, 3)

B(3,1)→ B'(9, 3)

C(2,3) → C'(6,9)

Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.

To learn more about the transformations click here :

https://brainly.com/question/28029674

#SPJ2

find the value of x
[tex]x[/tex]

Answers

70°

Step-by-step explanation:

because AB//CD value of x is :

x = 30° + 40°

x = 70°

which one is greater 16,400 or 1.64 times 10 to the 4th power.
Sorry it is confusing.

Answers

Answer: its the same amount

Step-by-step explanation:

What is the x-intercept of this equation: 6x + 2y = -8

Answers

Answer:

4, 0

Step-by-step explanation:

Answer:

[tex](\frac{-4}{3}, 0)[/tex]

Step-by-step explanation:

The x-intercept of any equation is the point where [tex]y=0[/tex].

Aha! We plug in [tex]y=0[/tex] into the equation to get [tex]6x+2(0)=-8[/tex], which gives [tex]6x=-8[/tex], which gives [tex]x=\frac{-8}{6}[/tex] which gives [tex]x=\frac{-4}{3}[/tex].

So, our answer is [tex]\boxed{(\frac{-4}{3}, 0)}[/tex] and we're done!

Find the unit price $3.30 for 15 bananas

Answers

Answer:

0.22 cents each

Step-by-step explanation:

solve for t: 2-16t=6(-3t+2)

Answers

Answer:

t = 5

Step-by-step explanation:

Just let me know if you want an explanation and I will do it.

Hope this helped. A brainliest would be very much appreciated. (I need 3 brainliest so I can level up) :)

Write the angles of DEF in order from smallest to largest

Answers

Answer:

F, D, E

Step-by-step explanation:

the smallest angle is opposite the smallest side, the largest angle is opposite the largest side, etc.

What’s 94 divided by 4

Answers

Answer:

23.5

Step-by-step explanation:

[tex]QUESTION:[/tex]

What is 94 divided by 4?

[tex]ANSWER:[/tex]

23.5

[tex]COMMENT:[/tex]

Please mark Brainliest!

[tex]ANSWERED:\\GraceRosalia[/tex]

-48 divided by what equals 6

Answers

Answer: the answer is -8

Step-by-step explanation:

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