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
noname [10]
3 years ago
11

Find the distance between the parallel lines m and n whose equations are

Mathematics
1 answer:
MA_775_DIABLO [31]3 years ago
8 0

Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.

There are several ways to do this...here's one

Let (0, 4) be a point on the first line

Then.......a line with a negative reciprocal slope going through this point will have the equation :

y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal

-x + 4  = x - 6   add x, 6 to both sides

10 = 2x     divide both sides by 2

5  = x

So...using -x + 4, the y value  at intersection  = -1.......

So...we just need to find the distance from  (0,4)  to ( 5, -1)  =

√[ (5)^2 + (4 + 1)^2 ] =  5√2  ≈  7.07 units

Here's a pic....AB is the distance  with A = (0,4)  and B = (5, -1)

Step-by-step explanation:

You might be interested in
What is the solution for −40 = 10c? <br> A. c = 1 <br> B. C = -1 <br> C. c = -4 <br> D. c = 4
Aleks [24]

Answer:

C. c = -4

Step-by-step explanation:

you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal

-40/10 = c

c = -4

5 0
3 years ago
How is 23 written as a fraction
Ierofanga [76]
It would be 23/100. 
C. Is the answer

3 0
3 years ago
Read 2 more answers
Jaime has a budget in which 1/4 of the money is for photocopying 3/7 of the money is for computer expenses and the rest of the m
Marat540 [252]
Let
x-------> <span>Jaime budget
</span>s------> <span>fraction of Jaime budget for student tutors
</span><span>
we know that
x=(1/4)x+(3/7)x+s

3/7 is equal to-----> (3/7)*(2/2)----> 6/14
substitute
</span>x=(1/4)x+(6/14)x+s<span>
x=(7/14)x+s
s=x-(7/14)x
s=(7/14)x-------> (1/2)x------> </span>half of the budget is for <span>student tutors.

the answer is
</span>half of the budget is for student tutors
6 0
3 years ago
Anne is painting her house light blue. To make the color she wants, she must add 3 cans of white paint to every 2 cans of blue p
GuDViN [60]

Answer:

9 cans of white paint

Step-by-step explanation:

To solve this you can set up a ratio.

The ratio right now is 3 : 2, you have 3 cans of white paint for every 2 cans of blue paint. This question is asking how many white paint cans would be needed for 6 cans of blue paint. You can see the relationship between the number of blue paint cans and the new number of blue paint cans, maybe it's multiplying by 4 or 2 for example, and once we find that out we can do the same exact thing to the white cans.

\frac{3}{2}  = \frac{?}{6}

We can see that to get from 2 to 6 you multiply by 3, so now we do that to the other side of the fraction as well, we multiply by 3. 3 multiplied by 3 is 9, so if we were to have 6 cans of blue paint we would need 9 cans of white paint to get that perfect shade of light blue. Anne would need 9 cans of white paint if she had 6 cans of blue paint to make her shade of blue.

6 0
3 years ago
What are the x-intercepts of the graphed function?​
DIA [1.3K]

Answer:

(-2,0) and (2,0)

Step-by-step explanation:

The x-intercepts are where the parabola touches the x-axis (aka when y is 0).

6 0
2 years ago
Other questions:
  • The heights of three flower pots are 45cm 30cm and 10cm.
    5·1 answer
  • Miley’s music has a sale on music CDs. All music CDs are discounted 15%. Mariana’s receipt indicates that she saved $3 on her CD
    10·1 answer
  • What is the solution to this system of equations? Y= 2x - 3.5 x - 2y = -14
    13·2 answers
  • A recent National Health and Nutrition Examination Survey (NHANES) study compared death rates for people with health insurance a
    13·1 answer
  • Input the equation of the given line in standard form.<br> The line with m= -3/4 and b= -2.
    6·1 answer
  • Answer the question in the image
    12·1 answer
  • HELPPP!!!!! AGAIN !!! MAARKING BRAINLIST! mAtH
    7·2 answers
  • Answer to any question will be appreciated. If you can please explain to me how you got the answer :)
    7·1 answer
  • HELP ASAP PLEASE!!!!
    14·1 answer
  • The population of a small industrial town was 12 910 in 2000. Each year, the population
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!