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
Mkey [24]
3 years ago
7

What is an equation of the line that passes through the point (-4,-3) and is perpendicular to the line 2x+3y=15

Mathematics
1 answer:
Katen [24]3 years ago
5 0

Answer:

The equation would be y = 3/2x + 3

Step-by-step explanation:

First we have to find the slope of the original line. We can do this by solving for y.

2x + 3y = 15

3y = -2x + 15

y = -2/3x + 5

Now that we have the slope of -2/3, we know the slope of the new line will be 3/2. This is because perpendicular lines have opposite and reciprocal slopes. We can use that and a point in point-slope form to find the equation.

y - y1 = m(x - x1)

y + 3 = 3/2(x + 4)

y + 3 = 3/2x + 6

y = 3/2x + 3

You might be interested in
Lena tried to solve a system of linear equations algebraically and the process found the equation 5=9. Lena thought something wa
Jet001 [13]
This means the graph or the equation has no solution
3 0
3 years ago
We have 6 tents for 18 campers each tent holds 2 or 4 campers exactly how many of our tents hold 2
wolverine [178]

Answer:

  3 tents hold 2 campers

Step-by-step explanation:

The given relations can be expressed as a single equation in the number of 2-camper tents.

__

Let x represent the number of 2-camper tents. Then the number of 4-camper tents is 6-x, and the total number of campers in tents is ...

  2x +4(6 -x) = 18

  -2x +24 = 18

  -2x = -6 . . . . . . subtract 24

  x = 3 . . . . . . . divide by -2

Exactly 3 tents hold 2 campers.

_____

<em>Additional comment</em>

The other 3 tents hold 4 campers.

Another way to consider this is to assume that all tents hold 2 campers, and then realize there are 18 -6×2 = 6 campers left over. If these are placed 2 per tent, then there will be 6/2 = 3 tents with 4 campers. The remaining 3 tents will have 2 campers.

8 0
2 years ago
I need help with this plzzzzzzzzzzzz
Sunny_sXe [5.5K]

Answer:

6ft by 15ft

Step-by-step explanation:

just divide each number by two and add it to the origanal number.

7 0
3 years ago
Calculate the present value. (Round your answer to two decimal places.)
Gnom [1K]
30,000*16
15 percent of 480000
= <span>72,000</span>
8 0
3 years ago
PLEASE HELP ME SHAWTIES PRESS ON IMAGE
irina1246 [14]

Answer:

Where's the image?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • When a grizzly bear hibernates, its heart rate drops to 10 beats per minute, which is 20% of its normal
    9·1 answer
  • Please answer this correctly
    7·1 answer
  • ***PLEASE HELP***
    5·1 answer
  • What is the slope of the line that passes through the points (-2,6) and (4,-2)?
    6·2 answers
  • 3 values that would make this inequality true. 42&lt; 24 + y
    12·1 answer
  • What is the limit in kilograms? weight limit for checked baggage: 50 pounds.
    6·1 answer
  • Jovie is maintaining a camp fire. She has kept the fire steadily burning for 101010 hours with 151515 logs. She wants to know ho
    10·1 answer
  • Find the polynomial of minimum degree, with real coefficients, zeros at x=4+4i and x=2, and y-intercept at 64
    8·1 answer
  • Please help solve :D
    15·2 answers
  • Help me on this math question please ;/
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!