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
taurus [48]
2 years ago
13

What is the equation of a line perpendicularto y=-2/5x-1 that passes through(2,-8)​

Mathematics
1 answer:
Andrews [41]2 years ago
7 0
<h2>Answer: y =  ⁵/₂ x - 13   OR  y + 8 =  ⁵/₂ x - 5 </h2>

<h3>Step-by-step explanation:</h3>

<u>Find the slope of the perpendicular line</u>

When two lines are perpendicular, the product of their slopes is -1. This means that the slopes are <em>negative-reciprocal</em>s of each other.

⇒  if the slope of this line = - ²/₅

      then the slope of the perpendicular line (m) = ⁵/₂

<u>Determine the equation</u>

We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line:

                                ⇒  y - (-8) =  ⁵/₂ (x - 2)

                                   ∴  y + 8 = ⁵/₂ (x - 2)

We can also write the equation in the slope-intercept form by making y the subject of the equation and expanding the bracket to simplify:

                  since   y + 8 =  ⁵/₂ (x - 2)

                                    y =  ⁵/₂ x - 13

You might be interested in
what is 900+100 I'm stuck 100 points for the people who can answer i know its 1000 still 100 points go listen to (joey trap) bar
charle [14.2K]

Answer:

1000

Step-by-step explanation:

x = 1, y = -1, and z = 2

5 0
2 years ago
Read 2 more answers
Are both students equations correct?
larisa86 [58]

Answer:

yes because it is the opposite side

7 0
2 years ago
Which is the correct input-output table for the function g(x)=-1/2(4x+6)
Sonbull [250]

Answer: The third choice.

Step-by-step explanation: To find the first output, start with your first input. In this case, it's -2, so your equation would be g(-2)= -1/2(4(-2)+6). Start by solving inside the parenthesis. 4x-2=-8 and -8+6=-2. -1/2x-2= 1, so your first output should be 1. The only choice that has this is the third one, so that is your answer. Hope I could help :)

4 0
3 years ago
1. Evan drove 308 km in the same time that Meghan drove 329 km. If Meghan drove
emmainna [20.7K]

Answer:

Her average speed is 94 km/h

Time taken is 3.5 hours

Step-by-step explanation:

Let Evan’s average speed be x km/h.

now since Meghan drove faster, according to the question, we can say her average speed would be x + 6 km/h

Mathematically, time = distance/speed

so; since time is the same; we have

308/x = 329/(x + 6)

cross multiply

329(x) = 308(x + 6)

329x = 308x + 1848

329x-308x = 1848

21x = 1848

x = 1848/21

x = 88 km/h

Meghan average speed = x + 6 = 88 + 6 = 94 km/h

Time taken would be 329/94 = 3.5 hours

8 0
3 years ago
Adam had 91 dollar. If he spent 21 dollars on new books, what is the ratio of money he still has to money he's spent?
Alik [6]
1. Ratio- 91:21
2. Reduce- the common factor is 7
3. Answer- 13:3
3 0
3 years ago
Read 2 more answers
Other questions:
  • When two chords intersect "inside" a circle, what two sets of<br> angles are formed.
    13·1 answer
  • The mean temperature for the first 7 days in January was 4 °C.
    13·1 answer
  • Cross products question, 3/5 over x multiplied by 12 over 20<br> what is x
    14·1 answer
  • 185g in the ratio 2:3
    15·1 answer
  • The graph shows two lines, A and B.
    14·1 answer
  • Raise 8 to the 5th power, then subtract the result from h. What would the expression be?
    5·1 answer
  • A radio talk show host with a large audience is interested in the proportion p of adults in his listening area who think the dri
    14·1 answer
  • What are the constants in the expression 12+x-3.7-8y+1/3
    12·1 answer
  • What is 3/11 times 3 1/4? I really need help my assignment is due tomorrow
    11·1 answer
  • Temperature °C
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!