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
Sonja [21]
3 years ago
14

What is the equation of the line that is perpendicular to and has the same y-intercept as the given line?

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0
ANSWER

The required equation is

y = 5x + 1



EXPLANATION

The given line passes through the point

(5,0) \: and \: (0,1)


The slope of this line is given by the formula,

m=\frac{y_2-y_1}{x_2-x_1}


This implies that,

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

m =  -  \frac{1}{5}


The product of the slope of the two perpendicular lines should be negative one.

Thus,

m_1\times m_2=-1
This implies that,


-  \frac{1}{5} \times m_2=-1


We multiply through by
- 5
to obtain,


m_2=-1 \times  - 5

m_2=5
Therefore the slope of the line perpendicular to the given line is
5.


We use the slope intercept formula
y =m x + b

where
b = 1
is the y-value of the y-intercept.



We therefore have,


y = 5x + 1

as the required equation.


The correct answer is C.
Anestetic [448]3 years ago
8 0

Answer:

C. 5x+1

Step-by-step explanation:

edge2020

You might be interested in
Twice a number increased by 2 is zero
Dmitry_Shevchenko [17]
Alright, so 2x+2=0 (with x being the number) is what I'm getting from this. Subtract 2 from both sides to get 2x=-2, and then divide by 2 to get x=-1
7 0
3 years ago
Read 2 more answers
Waht is the elapsed time for 1:05 pm - 4:40 am
olga2289 [7]
Elapsed time from 105pm to 440am is 15 hours and 35 minutes.
8 0
3 years ago
Read 2 more answers
Please Help! <br><br><br><br> Solve for the variable.<br><br> 12.5 = y - 1.25 <br><br> .
Rom4ik [11]

Your answer is y = 13.75

5 0
3 years ago
Consider the inverse function. which conclusions can be drawn about f(x) = x2 2? select three options.
Elodia [21]

The function has a y-intercept at (0, 2). Then the correct options are A, B, and E.

The complete question is attached below.

<h3>What is the maximum and minimum value of the function?</h3>

The condition for the maximum will be

f"(x) < 0

The condition for the minimum will be

f"(x) > 0

Consider the inverse function.

f⁻¹(x) = -√(x - 2)

Then the conclusion of the function f(x) = x² + 2 will be

Differentiate the function, then we have

f ' (x) = 2x

Again differentiate, then we have

f" (x) = 2

f" (x) > 0

Then the function has a minimum value at (0, 2)

The function has a y-intercept at (0, 2)

Then the correct options are A, B, and E.

More about the maximum and minimum value of the function link is given below.

brainly.com/question/13581879

#SPJ1

5 0
2 years ago
Which ordered pairs are solutions to the inequality 2x+y&gt;−4?
hichkok12 [17]

we will proceed to resolve each case to determine the solution

we have

2x+y>-4

y>-2x-4

we know that

If an ordered pair is the solution of the inequality, then it must satisfy the inequality.

<u>case a)</u> (5,-12)

Substitute the value of x and y in the inequality

-12>-2*5-4

-12>-14 ------> is True

therefore

the ordered pair (5,-12) is a solution of the inequality

<u>case b)</u> (-3,0)

Substitute the value of x and y in the inequality

0>-2*-3-4

0>2 ------> is False

therefore

the ordered pair (-3,0) is not a solution of the inequality

<u>case c)</u> (-1,-1)

Substitute the value of x and y in the inequality

-1>-2*-1-4

-1>-2 ------> is True

therefore

the ordered pair(-1,-1) is a solution of the inequality

<u>case d)</u> (0,1)

Substitute the value of x and y in the inequality

1>-2*0-4

1>-4 ------> is True

therefore

the ordered pair (0,1) is a solution of the inequality

<u>case e)</u> (4,-12)

Substitute the value of x and y in the inequality

-12>-2*4-4

-12>-12 ------> is False

therefore

the ordered pair (4,-12) is not a solution of the inequality

<u>Verify</u>

using a graphing tool

see the attached figure

the solution is the shaded  area above the line

The points A,C, and D lies on the shaded area, therefore the ordered pairs A,C, and D are solution of the inequality


7 0
3 years ago
Read 2 more answers
Other questions:
  • What is the rate of change between (29,9) and (33,10)?
    7·1 answer
  • Suppose x and y vary inversely, and x =10 when y=8. Write the function the models the inverse variation.
    12·1 answer
  • Police response time to an emergency call is the difference between the time the call is first received by the dispatcher and th
    12·1 answer
  • Find the coordinates for the midpoint of the segment with endpoints given. (10, 6) and (-4, 8) (7, 7) (3, 7) (7, 3)
    12·2 answers
  • Which is the vertex of x2 + 10x= - 17?<br> (-5.-8)<br> (5.8)<br> (-5.8)<br> (5.-8)
    13·1 answer
  • Solve for W
    10·2 answers
  • For each ordered pair, determine whether it is a solution to y=-8
    8·1 answer
  • What's 5sqrtx -4 = 20
    10·1 answer
  • What is Seventeen and four hundred six ten thousandths as a decimal
    13·1 answer
  • In a triangle, the angle opposite to the longer side is
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!