How do solve this question? Find an equation of a line parallel to the given line and contains the given point. Write the equation in slope–intercept form. With the equation 2x + 5y= -10 point (10, 4).

Answers

Answer 1

Answer:

y = -2/5 x + 8

Step-by-step explanation:

First we need to find the slope of the given line;

Given the line 2x + 5y= -10, we need to write it in standard form of y = mx+c

Make y the subject of the formula;

2x + 5y= -10

5y = -2x-10

y = -2x/5-10/5

y = -2x/5 - 2

Hence the slope of the line m = -2/5

Since the equation of the line we need is parallel to this line, hence they will have the same slope.

The slope of the required line = -2/5

Get the intercept;

Substitute the point (10,4) and m = -2/5 into the equation y = mx+c

4 = -2/5(10)+c

4 = -4 + c

c = 8

Get the required equation;

y = mx+c

y = -2/5 x + 8

Hence the equation of a line parallel to the given line and contains the given point is y = -2/5 x + 8


Related Questions

write an equivalent expression for 6x + 18.

Answers

Answer:

6x + 18 = 6x + 6 × 3 = 6 ( x + 3 )

Step-by-step explanation:

6x + 18

= 6x + 6 × 3

= 6 ( x + 3 )

The cost to rent a car is $25 plus an additional $0.15 for each mile the car is driven. How many miles was a car driven if it had a bill of $71.80? 479 645 454 312

Answers

Answer:

The answer is 312.

Step-by-step explanation:

Because you would start with 71.80 minus 25 to get 46.8 then do 46.8 divided by 0.15 to get 312.

Answer:

312

Step-by-step explanation:

Evaluate the expression when x = 9.2 and y = 3.4.
5xy

Answers

The answer is 156.4

5(9.2)(3.4)
156.4



PLEASEE HELP.!! ILL GIVE BRAINLIEST.!! *EXTRA POINTS* DONT SKIP:((

Answers

Answer:

ac - ad + bc - bd - 9e

Step-by-step explanation:

Parellel lines it says 75 degrees and on another line it says 11x-2 what's the answer?

Answers

Answer:

x = 7

Step-by-step explanation:

Parallel lines so their the same

11x - 2 = 75

add 2 to both sides

11x = 77

divide both signs with 11

x = 7

Answer:

The answer to the equation below is also 75 degrees. X equals 7

Step-by-step explanation:

Assuming that the lines are parallel, we can confirm that the two angles are corresponding because they are cut by a traversal (corresponding means that they occupy the same relative position). Knowing that the are corresponding use the equation 11x-2= 75 to find x. You are welcome and I hope you get the best grade possible :). Have a nice day!

Plz help this is worth 30 points

Answers

Answer:

Choice A

Step-by-step explanation:

3x + 2 = 3x + 2 pls help me I do not understand

Answers

Answer:

3x+2=3x+2 because, you have to combine your like terms, so here is an example..

                 3x + 2

there are no like terms to combine here so the problem stays how it was, so there saying 3x+2 = 3x+2 because they're stating the problem then saying that the answer is the same because there is no like terms her to combine.

Hope this helps,

need answers asap rnn

Answers

Answer: of each shape? 3 & 4?

Step-by-step explanation:

HELP NEED THIS BADLY five ninths minus two sixths correct answer=branliest

Answers

Answer:

0.222 as a decimal

111/500 as a fraction

22.2 as a %

3 x 3 = 9 x 3 = 27 x 3 = ____x 3
Will Give Brainliest

Answers

27 times 3 equals 81!

1.4 – ( ___ ) = 2
Pls hurry plz

Answers

The answer should be -0.6

Answer: The answer is –0.6, wait a second, did you duplicate your question?

Step-by-step explanation:

Beth cooks 2 pounds of pasta. She serves 5 pound of pasta on each plate.
What is the total number of plates Beth serves with the 2 pounds of pasta?

Answers

Answer:

2/5

Step-by-step explanation:

3. Simplify 315-217+45 - 28 . (1 point)
2/12
O 212
O 615-417
6/10 -4114

Answers

The answer might be (45/29).

Help ill give brainlist

Answers

Answer:

x=2

Step-by-step explanation:

the sum of renting bowling shoes for $6 and $3 per game

Answers

3x +6b = x
b is the number of bowling shoes you rent

Answer:

9

Step-by-step explanation: 6+3=9

The rent is $9

The area of a rectangle is 221 square meters. If the length of the rectangle is 4m longer than its width, find the dimensions.
Let w be the width of the rectangle in meters.
First find the width of the rectangle by solving for w.

Answers

Answer:

w=13 (take only the positive value)

i hope this helps

Find the rate of change of the following table.

Answers

Answer:

[tex]\frac{1}{3}[/tex]

Step-by-step explanation:

The rate of change is measured by the slope of the line in this linear table.

Calculate the slope m using the slope formula

m = [tex]\frac{y_{3}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 3, 0) and (x₂, y₂ ) = (3, 2) ← 2 ordered pairs from the table

m = [tex]\frac{2-0}{3+3}[/tex] = [tex]\frac{2}{6}[/tex] = [tex]\frac{1}{3}[/tex] ← rate of change

The graph of y = |x − 3| + 2 is reflected across the x-axis and then translated down 2 units. What is an equation of the transformed graph?

Answers

Answer:

y=-|x − 3|

Work

y = |x − 3| + 2

-2        -2

y = |x − 3|

add a neg before the absolute value

y=-|x − 3|

Transformation involves changing the position of a graph

The equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

The equation is given as:

[tex]\mathbf{y = |x -3| + 2}[/tex]

The rule of reflection across the x-axis is:

[tex]\mathbf{(x,y) \to (x,-y)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2}[/tex]

The rule of translation 2 units down is:

[tex]\mathbf{(x,y) \to (x,y-2)}[/tex]

So, we have:

[tex]\mathbf{y = -|x -3| - 2 - 2}[/tex]

[tex]\mathbf{y = -|x -3| - 4}[/tex]

Hence, the equation of the transformed graph is [tex]\mathbf{y = -|x -3| - 4}[/tex]

Read more about transformation at:

https://brainly.com/question/11707700

can a pentagon have interior angles that measure 120°, 105°, 65°, and 95°? explain.

Answers

Answer:

No

Step-by-step explanation:

because firstly, pentagon is five sided figure and secondly, the sum of interior angled of a pentagon is 540°

No, the given angles can not be the measure of the pentagon angles.

What is the pentagon?

A pentagon is a polygon having five sides connected to each other to form a closed figure. The sum of the angles of the pentagon is equal to 540 degrees.

Given angles are 120°, 105°, 65°, and 95°. Here as we know that the pentagon is a polygon having five sides. The number of angles formed by all the sides of the pentagon is also five.

Here we have only four angles that are 120°, 105°, 65°, and 95°. But to form a pentagon there must be five angles and the sum of the angles should be 540 degrees.

Therefore, the given angles can not be the measure of the pentagon angles.

To know more about the pentagon follow

https://brainly.com/question/224658

#SPJ2

Find the measure of each interior angle of A ABC, where m m Fill in the blanks: m ,,m ____,m

Answers

I don’t get it sorry
M

please answer i need it quick

Answers

Answer:

Step-by-step explanation:

3x^4+2x^3

The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?

Answers

Answer:

150

Step-by-step explanation:

To figure out how far it turns in one hour divide 360 and 24= 15, now to find out how much it turns in 10 hours multiply 10x15=150

Consider vectors u = ⟨2, 1⟩ and v = ⟨4, –1⟩ with the angle between them equal to 40°. What are the scalar projections uv and vu?

a) uv = 1.33 and vu = 1.33
b) uv = 1.33 and vu = 3.16
c) uv = 1.71 and vu = 1.33
d) uv = 1.71 and vu = 3.16

Answers

Answer:

D. uv = 1.71 and vu = 3.16

Step-by-step explanation:

The scalar projections are uv = 1.71 and vu = 3.16

The correct option is (D)

What is meant by scalar projection?

The definition of scalar projection is the length of the vector projection.

Given: u = ⟨2, 1⟩,  = ⟨4, –1⟩, and θ = 40°

Proj u_v = |u| cosθ

= 2.25 * cos 40

= 2.25 * 0.7660

=1.72

and, Proj v_u = |v| cosθ

= 4.123 * cos 40

= 4.123 * 0.7660

= 3.16

Learn more about this concept here:

https://brainly.com/question/19938443

#SPJ2

The diagram shows a triangle.
3a
95°
34°
What is the value of a?

Answers

17 degrees. 180- 95-34 =51. 51/3= 17

Suppose a triangle with angles measuring 30°, 35°, and 115º is translated 1 unit left and 1 unit up on a coordinate grid.
Which would be the measure of an angle of the resulting triangle?
25°
35°
55°
65°

Answers

Answer:

35

Step-by-step explanation:

The triangle just moved. To translate an object doesn't change anything, it just changes the positioning.

Ex. Moving a box 1 foot forward and 1 foot to the left. I did nothing to the box, therefore the answer is 35 degrees since that is the only question there

The selling price for a used car at Smith's Auto Market was $17,700. Smith marks up the buying price by 18%. What was the buying price of the car?
$

Answers

Answer:

$20,886

Step-by-step explanation:

17,700/100=3186

3186+17,700=20,886

Each deli sandwhiches made uses 8/8 pound of roast beef.Marisa started with 5 pounds of roast beef and now has 2 3/4 pounds left. How many del sandwhiches did she make

Answers

Answer:

Marisa has made 6 sandwiches.

Step-by-step explanation:

The pounds of roast beef required to make each sandwiches is [tex]\frac{3}{8}[/tex], and not [tex]\frac{8}{8}[/tex] as erroneously typed in the question.

Given that each deli sandwiches made, uses [tex]\frac{3}{8}[/tex] pounds of roast beef.

Marisa started with 5 pounds, and had 2[tex]\frac{3}{4}[/tex] pounds left.

Thus,

pounds of roast beef used = 5 - 2[tex]\frac{3}{4}[/tex]

                                             = 5 - [tex]\frac{11}{4}[/tex]

                                             = [tex]\frac{20 - 11}{4}[/tex]

                                             = [tex]\frac{9}{4}[/tex]

                                             = 2[tex]\frac{1}{4}[/tex]

Marisa had used 2[tex]\frac{1}{4}[/tex] pounds of roast beef. So that;

the number of del sandwiches made = 2[tex]\frac{1}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]

                                                    = [tex]\frac{9}{4}[/tex] ÷ [tex]\frac{3}{8}[/tex]

                                                    = 6

Therefore, the number of sandwiches made by Marisa is 6.

Ian has 3/4 of an hour to work on math problems before he leaves for track practice each problem takes 1/12 of an hour how many problems will ian be able to finish before leaving

Answers

Answer:

9

Step-by-step explanation:

Since Ian has 3/4 of an hour that is 45 minutes left till practice and it takes 5 minutes per question so he will have 9 questions finished

9514 1404 393

Answer:

  9 problems

Step-by-step explanation:

The number can be found by dividing the time by the rate.

  (3/4 h)/(1/12 problems/h) = (9/12)/(1/12) problems = 9/1 problems

  = 9 problems

Ian can finish 9 problems before leaving.

What is the value of x in x = inverse of sine (negative one-half)?

Negative StartFraction 2 pi Over 3 EndFraction
Negative StartFraction pi Over 6 EndFraction
StartFraction 2 pi Over 3 EndFraction
StartFraction 7 pi Over 6 EndFraction

Answers

Answer:

-pi over 6 or B.

Step-by-step explanation:

I plugged it into desmos and this is what I got

Using the inverse of the sine function, it is found that the value of x is:

[tex]x = -\frac{\pi}{6}[/tex]

What is the inverse sine function?

It is the function described by:

[tex]y = \arcsin{x}[/tex]

And means that sine of y is equals to x, that is:

[tex]x = \sin{y}[/tex]

In this problem, the function is:

[tex]x = \arcsin{-\frac{1}{2}}[/tex]

Which means that we have to solve for x, considering that the sine of x is of -1/2. Hence:

[tex]\sin{x} = -\frac{1}{2}[/tex]

[tex]x = -\frac{\pi}{6}[/tex]

Hence, the value of x is given by:

[tex]x = -\frac{\pi}{6}[/tex]

More can be learned about inverse trigonometric functions at https://brainly.com/question/1143565

Lilian makes $10.50 per hour and earned $252 last week. The equation 252 = 10.50h can be used to determine how many hours Lilian worked. How many hours did lilian work last week ? answer please !

Answers

Lilian worked 24 hours last week

She worked 24 hours 252/10.50 = 24
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