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Dmitrij [34]
2 years ago
11

Point B is between points A and C. Find the length of AC if AB = 3x - 2, BC = 2x + 7 and AC = 4x + 10

Mathematics
1 answer:
kirill115 [55]2 years ago
3 0

Answer:

AC = 30

Step-by-step explanation:

Start with:

4x+10=3x-2+2x+7

Combine like terms.

4x+10=5x+5

Subtract 4x from both sides of the equation.

10=x+5

Subtract 5 from both sides of the equation.

x = 5

Then, substitute 5 for x in AC=4x+10

AC=4(5)+10

Multiply.

AC=20+10

Finally, add.

AC=30

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4x+1+8-x+5x-2=23 linear equations
DanielleElmas [232]

Step-by-step explanation:

= 4x-x+5x+1+8-2

=8x+7

proved##

5 0
2 years ago
-15x=-4x... How to move the x to the left?
Delvig [45]
-15x=-4x

We know that adding zero wouldn’t change the value

-15x=-4x+0

Now we can add 4x (since that’s the opposite of the negative sign) to the other side

-11x=0

0 divided by 11 is 0

x=0
4 0
2 years ago
Which linear inequality is represented by the graph?
Ksju [112]

Tthe inequality that describes this graph is y ≤ 1/3x - 4/3

<h3>How to determine the linear inequality represented by the graph?</h3>

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(0, -1.3) and (3, -0.3)

The slope is calculated as:

m = (y2 - y1)/(x2 - x1)

Substitute the known values in the above equation

m = (-0.3 + 1.3)/(3 - 0)

Evaluate

m = 1/3

The equation is then calculated as:

y = m(x - x1) + y1

This gives

y = 1/3(x - 0) - 1.3

Evaluate

y = 1/3x - 4/3

From the graph, we have the following highlights:

  • The line of the graph is a closed line
  • The upper part is shaded

The first highlight above implies, the inequality can be any of ≥ and ≤

While the second highlight above implies, the inequality is ≤

Hence, the inequality that describes this graph is y ≤ 1/3x - 4/3

Read more about inequality at

brainly.com/question/24372553

#SPJ1

3 0
1 year ago
Help me , i need fast​
MAVERICK [17]
I have a feeling it B but I don’t know maybe C
7 0
2 years ago
Helppppppppppppppppppppppppppppp
GalinKa [24]
Answer:
x = 4

Explanation:
For the right hand side:
log base 9 of 8 + log base 9 of (x-2) = log base 9 (8*(x-2))
                                                          = log base 9 of (8x-16)
For the left hand side:
2*log base 9 of x = log base 9 of x^2

Now, equating the two sides and solving for x:
log base 9 of (8x-16) = log base 9 of x^2
This means that:
x^2 = 8x - 16
x^2 - 8x + 16 = 0
(x-4)^2 = 0
Therefore:
x = 4

Hope this helps :)
7 0
2 years ago
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