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
Dmitry [639]
3 years ago
8

Write the equation of a line perpendicular to y=0.25x-7 and passes through the point -6,8

Mathematics
1 answer:
horrorfan [7]3 years ago
3 0

the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Step-by-step explanation:

We need to write equation of line perpendicular to y=0.25x-7 and passes through the point (-6,8)

Since the line y=0.25x-7 is in slope-inetercept form y=mx+b

the slope of line m = 0.25

As, the new line is perpendicular to the given line so, slopes of lines that are perpendicular are: slope = -1/slope1

So, slope will be -1/0.25 = -4

Now, finding y-intercept.

y=mx+b8=4(-6)+b\\8=-24+b\\b=8+24\\b=30

So, value of y-intercept b = 30

Now the equation of the required line having slope m= -4 and b =30 will be:

y=mx+b\\y=-4x+30

So, the equation of a line perpendicular to y=0.25x-7 and passes through the point (-6,8) is y=-4x+30

Keywords: Equation of line, slope-intercept form

Learn more about slope-intercept form at:

  • brainly.com/question/12954015
  • brainly.com/question/1979240
  • brainly.com/question/2601054

#learnwithBrainly

You might be interested in
11in 8.1 in 15 in 7 in?
Anna11 [10]

Answer:

These dimensions represent area of a shape, or area of each side of a 4 sided 3D shape.

8 0
2 years ago
Ax+ay+xa+ya <br> Differentiate
Dmitry_Shevchenko [17]

Answer:

2 a

Step-by-step explanation:

Possible derivation:

d/dx(2 a x + 2 a y)

Differentiate the sum term by term and factor out constants:

= 2 a (d/dx(x)) + d/dx(2 a y)

The derivative of x is 1:

= d/dx(2 a y) + 1 2 a

The derivative of 2 a y is zero:

= 2 a + 0

Simplify the expression:

Answer:  2 a

4 0
3 years ago
For each equation, determine whether it represents a direct variation, an inverse variation, or neither.
SSSSS [86.1K]

we know that in direct variation as x increase y also increases.

in indirect variation x decreases y increase and vice versa.

in part a we have x at top (numerator ) and y at denominator it mean indirect variation (as x increases y decreases).

to find k we know that for indirect variation xy=k

if we rewrite the equation x=9/y we get xy=9

which mean k=9 .

in part b we have 4xy=20 if we simplify this equation we get

xy=20/4=5

so here if we rewrite in terms of x.

we get x=5/y which represents indirect variation.

and we know xy=k

we have xy=5 .so k=5

8 0
3 years ago
How do i solve this question 58−(14)2
Naily [24]

Answer:

PEMDAS RULE

Step-by-step explanation:

STEP one is multiplication 58-14x2=58-28

STEP two is subtraction 58-28=30

Parenthesis

Exponent

Multiplication

Division

Addition

Subtract

3 0
3 years ago
Read 2 more answers
A number that is no more than 20
timofeeve [1]
A number that is no more than 20 is less than
6 0
3 years ago
Other questions:
  • Write the quadratic equation whose roots are
    6·1 answer
  • Mr. Jones has three tables in his classroom. Each table has four
    6·2 answers
  • Which statement is true about the points and planes
    7·2 answers
  • Write a function rule for “The output is 5 less than the input.” Let x be the input and let y be the output.
    10·1 answer
  • Which of the following functions has the largest value when x = 4? e(x) = x2 + 6x + 21 m(x) = 8x v(x) = 31x
    10·2 answers
  • After a big snow storm, Joe and Jim decided to shovel driveways for money. Jim shoveled 3 less than twice
    10·1 answer
  • Factorise full the following x squared +2x
    12·1 answer
  • Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit. They are deciding
    9·2 answers
  • A test is made of H subscript 0 colon space mu space equals space 43 space space v e r s u s space space H subscript 1 colon spa
    12·1 answer
  • PLEASE HEPP IM STUCK
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!