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
Naily [24]
4 years ago
7

Please help!!

Mathematics
1 answer:
Allushta [10]4 years ago
4 0

We know that

AB = 10x + 4

BC = 4x - 3

AC = 12x + 16

We need to find x, AB and BC.

The solution of the question is based on the assumption that the point A, B and C are col-linear, i.e. they lie on the same line, and B lies between A and C

⇒ AB + BC = AC

Substituting the values of AB, BC and AC in terms of x in the above equation, and solving the linear equation.

⇒ 10x+4 + 4x-3 = 12x+16

⇒ 14x+1 = 12x+16

⇒ 2x = 15

⇒ x = 7.5

Substituting the value of x in 10x+4 to determine the length of AB

AB = 10x+4

⇒ AB = (10×7.5)+4

⇒ AB = 75+4

⇒ AB = 79

Hence, AB is 79 units

Substituting the value of x in 4x-3 to determine the length of BC

BC = 4x-3

⇒ BC = (4×7.5)-3

⇒ BC = 30-3

⇒ BC = 27

Hence, BC is 27 units

You might be interested in
If A={2,3,5,7} and B={2,4,6,8} then what is AnB?​
gregori [183]

Answer:

  • A∩B = {2}

Step-by-step explanation:

It asks for the common set of A and B.

<u>There only one element common to both the given sets:</u>

  • A={2,3,5,7} and B={2,4,6,8} ⇒ A∩B = {2}
6 0
3 years ago
Read 2 more answers
6. Find the function with x-intercepts (-3,0) and (5,0), which also goes through the point (1,8)
Yakvenalex [24]

Answer:

f(x) = (-1/2)(x^2 + 8x - 15)

Step-by-step explanation:

This function has two roots:  -3 and 5.  Most likely it is a quadratic (all of which have two roots).

Then f(x) = a(x + 3)(x - 5)

The graph goes through (1. 8):  Therefore, y = 8 when x = 1:

f(1) = a(1 + 3)(1 - 5) = 8, or

        a(4)(-4) = 8, or

            -16a = 8, which leads to a = -1/2.

Thus the quadratic in question is f(x) = (-1/2)(x + 3)(x - 5), or

                                                        f(x) = (-1/2)(x^2 + 8x - 15)

4 0
3 years ago
Divide. −3 1/3 ÷ 9=? <br> 1.−10/27 <br> 2.−1/9 <br> 3.1/9 <br> 4.10/27
KatRina [158]
The answer is #1. Hope this helps

7 0
3 years ago
Help pls
Korvikt [17]

Answer:y74

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
What is the slope of Y=0?
olganol [36]
The slope is 0!! any horizontal line, like y = 1, y = 2, y = any other number, has a slope of 0. because it's a horizontal line, it's flat, so there isn't any incline or decline. just as a note: vertical lines (x = 1, etc.) have an undefined slope.
3 0
3 years ago
Other questions:
  • HELP FIRST GET BRAINLLEST Which of the statements below are true? Select all that apply. A) Tom's friends are taller than Sam's
    11·2 answers
  • there are 9000 children in a town the probability that a child is affected by a virus 1/3 how many children are not likely to be
    13·1 answer
  • Three cards are selected at random without replacement from a well-shuffled deck of 52 playing cards. Find the probability of dr
    10·1 answer
  • What is the solution for the proportion below 8/9 = m / 72?
    15·1 answer
  • Graph the solution to the following system of inequalities.<br> y-2x-9<br> y&lt;2x+7
    6·1 answer
  • Divide 12.33 by 9 and write the quotient. (Show steps of working
    12·1 answer
  • An air conditioning technician charged Robert $77.25 to repair his air conditioning system after 3 hours of work. The technician
    6·1 answer
  • 18. The side length of a square is 7a 3b feet. What is the area of the square in feet? Box your final answer!
    13·1 answer
  • Whats the answer to 2-3x=3x-4
    5·2 answers
  • In western culture, 4 to 12 feet is considered public space whereas personal space is 1½ to 4 feet. _________________________
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!