1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
ICE Princess25 [194]
3 years ago
5

Which is the equation of a line that is parallel to 2x + 5y = 4 and goes through the point (5, –4) ?

Mathematics
2 answers:
san4es73 [151]3 years ago
5 0

<em><u>Answer:</u></em>

y = \frac{-2}{5} x - 2

<em><u>Explanation:</u></em>

<u>The general formula of the linear equation is:</u>

y = mx + c where m is the slope and c is the y-intercept

<u>1- getting the slope of the given line:</u>

<u>The given line is:</u>

2x + 5y = 4

<u>Rearrange to be in the general formula:</u>

5y = -2x + 4 .............> y = \frac{-2}{5} x + 4

<u>slope of the given line is</u> : \frac{-2}{5}

<u>2- getting the slope of the required line:</u>

We are given that the two lines are parallel, this means that they have equal slopes.

<u>Therefore:</u>

<u>slope of the required line</u> = \frac{-2}{5}

<u>The equation of the required line now became</u> : y = \frac{-2}{5}x + c

<u>3- getting the value of c:</u>

We are given that the line passes through the point (5,-4). This means that this point satisfies the equation of the line.

<u>Therefore, we will substitute with the point in the equation and solve for c as follows:</u>

y = \frac{-2}{5}x + c

-4 = \frac{-2}{5} (5) + c

-4 = -2 + c

c = -4 + 2

c = -2

<u>Based on the above, the equation of the line is:</u>

y = \frac{-2}{5} x - 2

Hope this helps :)

barxatty [35]3 years ago
4 0

we know that

if two lines are parallel

then

their slopes are equal

Step 1

Find the slope of the line 2x + 5y = 4

2x + 5y = 4------> 5y=4-2x-----> y=(4/5)-(2/5)x------> slope m=(-2/5)

step 2

with m=-2/5 and the point (5, –4) find the equation of the line

y-y1=m*(x-x1)------> y+4=(-2/5)*(x-5)----> y=(-2/5)x+2-4

y=(-2/5)x-2

therefore

the answer is the option D

You might be interested in
An online furniture store sells chairs for $150 each and tables for $400 each. Every day, the store can ship no more than 30 pie
ivolga24 [154]

Answer:

minimum of 13 chairs must be sold to reach a target of $6500

and a max of 20 chairs can be solved.

Step-by-step explanation:

Given that:

Price of chair = $150

Price of table = $400

Let the number of chairs be denoted by c and tables by t,

According to given condition:

t + c = 30 ----------- eq1

t(150) + c(400) = 6500 ------ eq2

Given that:

10 tables were sold so:

t = 10

Putting in eq1

c = 20 (max)

As the minimum target is $6500 so from eq2

10(150) + 400c = 6500

400c = 6500 - 1500

400c = 5000

c = 5000/400

c = 12.5

by rounding off

c = 13

So a minimum of 13 chairs must be sold to reach a target of $6500

i hope it will help you!

4 0
3 years ago
Please help thank you!
Akimi4 [234]
C. is the answer

.....
3 0
3 years ago
Which of the following ordered pairs is a solution to y=2^x
Masja [62]
What are the choices?
7 0
3 years ago
HELP ASAP WILL GIVE BRAINLIEST! Angles A and B are supplementary. If
Taya2010 [7]

Answer:

90 degrees

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Find the value of x
anygoal [31]

Answer:

1

Step-by-step explanation:

As per circle theorem rule, ∠GDE is twice than ∠GFE

10x +94 = 2 × (x+51)

10x + 94 = 2x + 102

8x = 8

x = 1

∠GDE= 10x+94° = 104°

∠GFE= x + 51° = 52°

3 0
3 years ago
Other questions:
  • sherry was in charge of distributing 25 food items that were donated to the local food pantry.on monday,she distributed 8 items.
    7·1 answer
  • 40=9x-5. <br>X=<br><br>liner equation
    10·2 answers
  • a cake pan is shaped like a rectangular prism the pans volume is 216 in. the cake pan has a base that is 12 inches by a 9 in. wh
    12·1 answer
  • 8×3÷(4²-13)+5²+4×3<br> Arrange the steps in the order in which they are preformed
    7·1 answer
  • Which Greek geometer founded a philosophical society that devoted itself to the study of mathematics
    10·1 answer
  • Mrs. Kellen's most recent math test consisted of 50 questions. Some of the questions were worth two points and the rest of the q
    6·1 answer
  • What is the value of x? 4<br> 8<br> 24<br> 32
    15·1 answer
  • 5x−4 = 3x +8<br> i need the steps on how to find x<br> plz, i got a 0 the first time i did it
    5·2 answers
  • How to do 15 1/2 - 2 1/10 how to do it
    10·1 answer
  • Is the circumference of a circle that the diameter is 9.4 cm
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!