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
Elan Coil [88]
3 years ago
10

If B is between A and C, and AB=3x+1 and BC=2x-7, and AC=19, then find the value of x.

Mathematics
2 answers:
kodGreya [7K]3 years ago
8 0

Since AB and BC are two parts of AC, AC = AB + BC

let's plug the expressions from the question into our equation above.

19 = 3x + 1 + 2x - 7

Combine like terms

19 = 5x - 6

Add 6 to both sides.

25 = 5x

Divide both sides by 5

5 = x

Nataly [62]3 years ago
5 0

Answer:

x = 5

Step-by-step explanation:

Given that B is between A and C then

AB + BC = AC , substitute values

3x + 1 + 2x - 7 = 19 , that is

5x - 6 = 19 ( add 6 to both sides )

5x = 25 ( divide both sides by 5 )

x = 5

You might be interested in
What is the rule for the sequence with the first four terms below? 0.5, 0.25, 0, –0.25
elena55 [62]

Answer:

subtract .25 each time x-.25

Step-by-step explanation:

6 0
3 years ago
The nth term in a sequence is 2n -6 work out the first three terms
Nata [24]

Answer:

The first three terms in the sequence are -4, -2, 0

Step-by-step explanation:

In any sequence n represents the position of the term in the sequence

<u><em>Examples:</em></u>

First term ⇒ n = 1

Second term ⇒ n = 2

Fifth term ⇒ n = 5

Let us solve our question

∵ The rule of the nth term is an = 2n - 6

→ We need to find the first three terms, means n = 1, 2, 3

∵ n = 1

∴ a1 = 2(1) - 6

∴ a1 = 2 - 6

∴ a1 = -4

∴ The first term is -4

∵ n = 2

∴ a2 = 2(2) - 6

∴ a2 = 4 - 6

∴ a2 = -2

∴ The second term is -2

∵ n = 3

∴ a3 = 2(3) - 6

∴ a3 = 6 - 6

∴ a3 = 0

∴ The third term is 0

The first three terms in the sequence are -4, -2, 0

6 0
3 years ago
How many solutions does 73x-37=73x -37
bonufazy [111]

Answer:

0 is the answer.

73x -73x = -37+37

0=0

3 0
3 years ago
A water tank fills as shown in the graph below. What is the slope of the line?
zepelin [54]

Answer:

1/3

Step-by-step explanation:

8 0
3 years ago
Which of the equations below could be the equation of this parabola?
ELEN [110]

Answer:

C. y=-4x^2

Step-by-step explanation:

To eliminate a and b the parabola is a negative and neither one of those are negative. When the parabola is facing down its a negative.

To eliminate D the parabola is going down on the y-axis so it cant be d.

Which leaves us with C.

So the answer is indeed C.

3 0
2 years ago
Other questions:
  • What is the value of x? ​
    9·1 answer
  • Tiffany has taken out a loan with a stated interest rate of 8.145%. How much greater will Tiffany’s effective interest rate be i
    9·2 answers
  • Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
    12·2 answers
  • What is the least 10-digit whole number?
    5·1 answer
  • A random sample of 121 automobiles traveling on an interstate showed an average speed of 65 mph. From past information, it is kn
    8·1 answer
  • Re-arrange this polynomial so its terms
    11·1 answer
  • The division sign and the capital letter "T", is there any rotational symmetry and how so?
    11·1 answer
  • Consider the system of equations: y=x-3 &amp; 4x-10y=6. How many solutions does the system have? *
    6·1 answer
  • Please do quickly! Asap! Brainleist, points!
    14·1 answer
  • the area of a children’s square playground is 50m squared, what is the exact length of the playground
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!