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
Lisa [10]
3 years ago
11

Which of the following is an equation for the line that passes through the point (0,0) and is perpendicular to the line shown ab

ove ?

Mathematics
2 answers:
Tom [10]3 years ago
7 0

Answer:

A. y = \frac{5}{4}x

Step-by-step explanation:

The equation of a straight line is given as;

     y = mx + c

where: m is the slope and c is the intercept

For the line to pass through points (0, 0), then intercept, c is zero.

So that,    y = mx

From the graph, slope, m = \frac{5}{4}

Therefore, the required equation is;

y = \frac{5}{4}x

ki77a [65]3 years ago
4 0

Answer:

Option A. y=\frac{5}{4}x

Step-by-step explanation:

step 1

Find the slope of the line shown in the graph

The given line pass through the points (0,3) and (5,-1) (see the graph)

The formula to calculate the slope between two points is equal to

m=\frac{y2-y1}{x2-x1}

substitute the values

m=\frac{-1-3}{5-0}

m=\frac{-4}{5}

m=-\frac{4}{5}

step 2

Find the slope of the line perpendicular to the line shown in the graph

Remember that

If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is equal to -1)

m_1*m_2=-1

we have

m_1=-\frac{4}{5}  ---> slope of the line shown in the graph

substitute

(-\frac{4}{5})*m_2=-1

therefore

m_2=\frac{5}{4}

step 3

Find the equation of the line that passes through the point (0,0) and is perpendicular to the given line in the graph

we have

m=\frac{5}{4}

point\ (0,0)

Remember that

If a line pass through the origin, then represent a proportional relationship

The linear equation is equal to y=mx

substitute

y=\frac{5}{4}x

You might be interested in
in the following ordinary annuity interest is compounded with each payment and the payment is made at the end of the compounding
RSB [31]

Answer: $59313.58

Step-by-step explanation:

Formula to find the accumulated amount of the annuity is given by :-

FV=A(\frac{(1+\frac{r}{m})^{mt})-1}{\frac{r}{m}})

, where A is the annuity payment deposit, r is annual interest rate , t is time in years and m is number of periods.

Given : m= $2000 ; m= 1   [∵ its annual] ;   t= 10 years ;   r= 0.06

Now substitute all these value in the formula , we get

FV=(4500)(\frac{(1+\frac{0.06}{1})^{1\times10})-1}{\frac{0.06}{1}})

⇒ FV=(4500)(\frac{(1.06)^{10})-1}{0.06})

⇒ FV=(4500)(\frac{0.79084769654}{0.06})

⇒ FV=(4500)(13.1807949423)

⇒ FV=59313.5772407\approx59313.58 \ \ \text{ [Rounded to the nearest cent]}

Hence, the accumulated amount of the annuity= $59313.58

8 0
2 years ago
N(x) will give you an output for any number you use as an input except which of the following?
Tju [1.3M]

Answer:

I think it's D

Step-by-step explanation:

because you can get an output if you input any numbers

4 0
3 years ago
A bucket is sold at a profit equal to one - fifth of its cost price find profit percentage ​
GarryVolchara [31]

Answer:

let the cost price be x

then the profit is 1/5x

profit percent -profit *100/cp

or,1/5x*100/x

or,20x/x

here x cuts x

and profit % is 20

Step-by-step explanation:

Sited sourced: https://brainly.in/question/21727403

7 0
2 years ago
Jake recorded a special album in honor of Mother's Day his mom was so excited she purchased 40% of the copies in the store she h
Delvig [45]

Answer:

200 CDs

Step-by-step explanation:

80 is 40% of 200

5 0
3 years ago
Read 2 more answers
Find the solutions to 8x2 + 56x = 0. Check all that apply.
IrinaVladis [17]

Answer:

B and C

Step-by-step explanation:

fjdjjsngbsnsjf x

3 0
2 years ago
Other questions:
  • Use the Alternating Series Remainder Theorem to determine the smallest number of terms required to approximate the sum of the se
    6·1 answer
  • Please help 99 points <br><br> No wrong answer please.
    7·2 answers
  • 2/5 x 11 please answer
    9·1 answer
  • What’s the quotient of 2 divided by 1/3
    7·1 answer
  • What is Jessica's yearly salary right out of college?
    15·1 answer
  • Graph the system of equations. <br> {<br> 8x+8y=64<br> 2x−2y=−4
    14·2 answers
  • Amy rent a storage room that is 15 feet long 5 feet wide and 8 feet what is the volume of the storage room
    13·2 answers
  • On a number line, there are two numbers, 535 and -8, how far are these two from each other? plz, answer ILL GIVE BRAINLIEST!!!!!
    12·1 answer
  • Someone please answer this for me :(
    11·1 answer
  • Find the measure of the angle plz help
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!