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
mamaluj [8]
3 years ago
10

Which is an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12?

Mathematics
1 answer:
Bond [772]3 years ago
5 0

Answer:

An equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

  • y=-\frac{1}{5}x+\frac{13}{5}

Step-by-step explanation:

Given the equation

5x - y = 12

converting the line into the slope-intercept form y = mx+b, where m is the slope

-y = 12-5x

y = 5x-12

The slope of the line = m = 5

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:

Therefore, the slope of new line = – 1/m = -1/5 = -1/5

Using the point-slope form of the line equation

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the slope of new line = -1/5 and (-2, 3)

y-y_1=m\left(x-x_1\right)

y-3=-\frac{1}{5}\left(x-\left(-2\right)\right)

y-3=-\frac{1}{5}\left(x+2\right)

Add 3 to both sides

y-3+3=-\frac{1}{5}\left(x+2\right)+3

y=-\frac{1}{5}x+\frac{13}{5}

Therefore, an equation of the line passing through (-2, 3) and perpendicular to the line 5x - y = 12 will be:

  • y=-\frac{1}{5}x+\frac{13}{5}
You might be interested in
Which ordered pair is a solution to the system?
andreev551 [17]
The answer is C.(-2,3)<span />
7 0
3 years ago
A kitchen sink has a volume of 1800 cubic inches.What is the volume of a similar sink that is larger by a scale factor of 2
bonufazy [111]

Answer:

14400 cubic inches.

Step-by-step explanation:

Let l, b and h are length, breadth and height of a cuboid respectively, then

V=l\times b\times h

If another cuboid is larger by a scale factor of k, then kl, kb and kh are length, breadth and height of new cuboid respectively.

V_1=kl\times kb\times kh

V_1=k^3(l\times b\times h)

V_1=k^3V       ...(i)

It is given that a kitchen sink has a volume of 1800 cubic inches and a similar sink is larger by a scale factor of 2.

Substitute k=2 and V=1800 in equation (i).

V_1=2^3(1800)

V_1=14400

Therefore, the volume of required sink is 14400 cubic inches.

7 0
3 years ago
What name best describes this polygon? trapezoid rectangle quadrilateral rhombus
8_murik_8 [283]
Could you please send a picture of the polygon?
3 0
3 years ago
Select the correct answer. A polynomial function has x-intercepts at -2, 1/2, and 2 and a relative maximum at x=-1. Which graph
vladimir1956 [14]

Answer: B

Step-by-step explanation: PLUTO

4 0
3 years ago
Please help its due at 11:59 and i´m struggling!!!!
Sidana [21]

Answer:

hold on might have to ask my teacher

Step-by-step explanation:

3 0
2 years ago
Other questions:
  • To which family does the function y= (x+2)^1/2 +3 belong? A.quadratic B.square root C.exponential D.reciprocal
    10·2 answers
  • Please help! I need help ASAP!!! How is 2^x translated if I change it to 2^(x+3)?
    13·2 answers
  • On a line segment, M is between L and N. If MN = 10.4 and LN = 19.4, what is LM?
    13·1 answer
  • Solve for x.<br> x2 + 8x + 15 = 0
    10·1 answer
  • I need help with this, if anyone can answer it would be very nice. :D
    10·2 answers
  • Factor the expression below.
    13·2 answers
  • 5. Which image in the collage to the right is an
    9·1 answer
  • *WILL GIVE BRAINLIEST IF U GIVE BEST ANSWER AND HELP ME PASS THIS*<br> Solve for g.<br> 2 = g4− 1
    14·1 answer
  • Latanya was asked to determine if (375,4) lies on the circle with radius 7 centered at (0.-2). what is her error?
    13·1 answer
  • A retaining wall requires 36.8 cu yd of concrete. The combined amounts of cement, sand, and gavel should be 1 1/2 times the of c
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!