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
Nataly_w [17]
3 years ago
11

Need help with this math problem

Mathematics
1 answer:
Shkiper50 [21]3 years ago
5 0

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Step-by-step explanation:

In the figure, Blueline is Line AB and Redline is target line.

You can see that the target line does not pass through (18,-8)

Taking a bottom-left corner of the graph as (0,0)

Given Line AB,

Point A is located as (4,9)

Point B is located as (16,1)

The slope of AB is

=\frac{Y1-Y2}{X1-X2}

=\frac{9-1}{4-16}

=\frac{8}{-12}

=\frac{-2}{3}

The question says "  Draw a line passes through C(13,12) and parallel to Line AB "

Now, Let the equation of the target line is y=mx + c

Where m=slope and c is the y-intercept

The target line is parallel to the line AB

The slope of the Target line = The slope of the Line AB =\frac{-2}{3}

m==\frac{-2}{3}

We can write, the equation of the target line is

y=\frac{-2}{3}x + c

Also, the Target line is passing through C(13,12)

Point C satisfies the equation

y=\frac{-2}{3}x + c

12=\frac{-2}{3}13 + c

12=\frac{-26}{3} + c

12+\frac{26}{3}=c

c= 12+\frac{26}{3}

c= \frac{62}{3}

Replacing the value

the equation of the target line is

y=\frac{-2}{3}x + c

y=\frac{-2}{3}x +  \frac{62}{3}

3y= -2x + 62

It is also asked that if a line is extended , would it passes through the (18,-8)?

If a line passes through the point (18-,8) then, that point must satisfy the equation of a line

the equation of the target line is  3y= -2x + 62

3(-8)= -2(18) + 62

(-24)= (-36) + 62

(-24)= (-36) + 62

(-24)= 26

Left land side is not equal to right hand side.

Therefore. a line does not pass through the point (18,-8)

You might be interested in
Maria has a 30% coupon for her $60 jeans, what is the new price?
fredd [130]
Answer $42

30% of 60 is 18, 60 - 18= 42
5 0
3 years ago
Read 2 more answers
Given m=10 and n =9 the ratio of n to m is 10/9 true or false
Marrrta [24]
False, it says n to m not m to n N to m would be 9/10
5 0
3 years ago
What is the answer to 7 (10-3x) = 5(10-4x
astra-53 [7]

Answer: 70-27x = 50-20x

Step-by-step explanation: First you do 7 x 10 which equals 70 then 7 x -3x equals -27x. Next you do 5 x 10 which is 50 next you do 5 x -4x equals -20x. So your answer is 70-27x = 50-20x

3 0
3 years ago
The sum of two numbers is 12<br> and their product is 32.<br> What are the two numbers ?
kumpel [21]

Answer:

8 and 4

Step-by-step explanation:

8 x 4= 32

8+4 = 12

8 0
2 years ago
Please help<br> Which of the following...
Gre4nikov [31]

Answer:

<7

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Other questions:
  • sophia buys 4/5 pound of sunflower seeds.she eats 1/10 pound of seeds each day.how many seeds will it take sophia to eat all the
    5·2 answers
  • Molly is choosing between to silent to carry in his backpack the 309 page paperbag weights 1/2 pound the 341 page hardcover weig
    12·2 answers
  • Simplify <br> a x b x 8<br> can someone help me out please
    13·1 answer
  • Total volume of tree?
    9·1 answer
  • The area of Arizona is 114,006 square miles what is the expanded form of this number
    10·1 answer
  • A salesperson is paid $400 per week, plus 10% of the total value of the sales she makes for the week. Let S represent the tota
    8·2 answers
  • George made a conical hat to match his costume for a party. The hat has a slant height of 14 inches and a base circumference of
    13·1 answer
  • Kevin has a stamp collection he keeps 10 of the stamps in an album which is only 5% of his entire collection.what is the total n
    11·2 answers
  • Write an interval using interval notation to describe the set of values shown above.
    7·1 answer
  • What is the midline equation of y = -4sin (2x - 7) + 3?
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!