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
Over [174]
3 years ago
7

What is an equation of the line that is perpendicular to −x+2y=4 and passes through the point (−2, 1) ?

Mathematics
1 answer:
Elza [17]3 years ago
6 0

Answer:

y=-2x-3

Step-by-step explanation:

Since our equation is in standard form Ax+By=C we must first manipulate the equation so that we have it in the slope-intercept form such that y=mx+b.  Therefore:

-x+2y=4\\2y=x+4\\\\y=\frac{x+4}{2}\\\\y=\frac{1}{2}x+2

Therefore, our slope is 1/2 and our y-intercept is 2.  Now in order to determine a perpendicular line to the one stated above we must then get the negative inverse of our slope meaning \frac{1}{2}=-2 (negative reciprocal).  Now we must use the point slope formula:

y=m(x-x_1)+y_1

Where m is the slope, x1 is -2 and y1 is 1 (because of the ordered pair given). And so:

y=-2(x-(-2))+1\\\\y=-2(x+2)+1\\\\y=-2x-4+1\\\\y=-2x-3

Therefore, the line that is perpendicular to -x+2y=4 is y=-2x-3.


You might be interested in
If, for each mouse, the probability of turning left is 0.5 and the probability of turning right is 0.5, what is the probability
Phoenix [80]

Answer:

.125

Step-by-step explanation:

(.5)^2(.5)^1= .125

Where (.5)^2 is the probability two mice turn left multiplied by (.5) that one of them turns right.        

3 0
3 years ago
The graph of f(x)=x2 was transformed to create the graph of g(x)=(x+5)2.
alexandr1967 [171]

Answer:

a horizontal shift left

Step-by-step explanation:

my teacher always tells me whatever you think it is in the parenthisis do the opposite. Sorry not a good explanation

5 0
2 years ago
Which kingdom was divided into provinces ruled by governors who reported to the king? a Ghana b Mali c Songhai
Vera_Pavlovna [14]

Answer: Songhai

explanation:

7 0
3 years ago
Read 2 more answers
A plant that manufactures metal plates has a quality control team to check that the plates are the right size. A rectangular pla
Kamila [148]

Answer:

Given the size of rectangular plate in advertisement = 5 cm by 3cm.

Given the condition for length should be   = 0.25 of 5 cm  

Step-by-step explanation:

Now, have to write the inequality from the given data.

Therefore,  5- 0.25 ≤ L ≤ 5+.25

4.75 ≤ L ≤ 5.25

We know that the area of a rectangle =  Length × Width.

 Width = 3

Thus, the area is 3 × L

3× (4.75) ≤ 3×L ≤3× (5.25)

14.25 ≤ 3×L ≤ 15.75

So the minimum area is 14.25 cm^2

The maximum area is 15.75 cm^2

4 0
3 years ago
kim is using 1-inch-square tiles to cover a rectangular tabletop. what is the area, in square inches, of the tabletop?
Gekata [30.6K]
Not enough information
5 0
3 years ago
Read 2 more answers
Other questions:
  • ) in. Find the length of the radius.
    9·1 answer
  • A person stands at the window of a building so that his eyes are 12.6m above the level ground. An object is on the ground 58.5m
    15·1 answer
  • 24 students in Jamall's class wearing tennis shoes there are 30 students in his class Jamall says that 70% of his class is weari
    15·2 answers
  • What is 1/4+3/8+1/2+5/8+7/8
    8·1 answer
  • What is the quotient?<br><br> StartFraction 5 Superscript negative 6 Over 5 cubed EndFraction
    7·1 answer
  • There are 213 fortunes, what is the largest about of times alice can eat at this restaurant without getting the same fortune 4 t
    13·1 answer
  • What is the slope-intercept equation (y = mx + b) of the line that goes through the points
    10·1 answer
  • ILL GIVE BRAINLIST IF CORRECT
    9·2 answers
  • Simplify the expression:<br> (-4 + v)(3) - =
    11·1 answer
  • Hello!! can you please help me? I've been trying to answer this question for a while now, but I cant seem to figure it out. (9th
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!