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Neporo4naja [7]
3 years ago
5

Find x and y thanks :D

Mathematics
1 answer:
Alika [10]3 years ago
8 0
So wyou said she was going to
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B is the midpoint of ac. Ab = x+9 and bc = 3x-7 find x and ac
natali 33 [55]

To solve this problem, we need to know 2 relationships:

<h2>1. AC = AB + BC</h2>

The distance of AC is the sum of AB and BC.

AC = AB + BC

We know this since the distance of going from A to C (AC) is the same as going from A to B (AB), then B to C (BC).

<h2>2. AB = BC</h2>

The distance of AB is the same as AC.

AB = BC

We know this since B is in the middle of AC, so the distance from B to A (BA) is the same as the distance from B to C (BC).

You can see the attached image (at the bottom) for a visualization of this.

<h2>Putting them together</h2>

Since we know the values of AB and BC...

AB = x+9\\BC = 3x-7

...we can put these values into our 2nd equation and solve for x:

AB = BC\\x + 9 = 3x -7

Add 7 to both sides:

x + 16 = 3x

Subtract x from both sides:

16 = 2x

Divide both sides by 2:

8 = x\\x = 8

Knowing x, we can find the distance of AC using our first equation.

AC = AB + BC

Let's put in the values of AB and BC:

AC = (x+9) + (3x-7)

Before we put in x = 8, we can simplify this:

AC = (x+9) + (3x-7)\\AC = x + 9 + 3x -7\\AC = x + 3x + 9 -7\\AC = 4x + 9 - 7\\AC = 4x+2

We group x and 3x and add those together. Then we subtract 7 from 9.

With this equation, we can put in x = 8:

AC = 4x +2\\AC = 4*8 + 2

Since 4 * 8 = 32:

AC = 4 * 8 + 2\\AC = 32 + 2\\AC = 34

Finally, we have found both x and AC.

<h2>Answer</h2>

x = 8

AC = 34

7 0
3 years ago
PLZ HELP ASAP ON 3 A B AND C
viktelen [127]
A: From the graph, car B was traveling faster.

Because the line of car B is more steep than the line of car A.

B:
The lines cross at (2,80), this means that the two cars were traveling at the same distance (80 miles) at the same time (2 hours).

C:
Since the line passes through the points (0,0) and (2,80)

So the unit rate or slope is 40 mph.

The distance which car A traveled in the first four hours = 4x40= 160 mph
8 0
3 years ago
10.
laila [671]

Answer:

Dave bought the clock for $300. Each year the value of the clock increased by $50.

Step-by-step explanation:

6 0
2 years ago
The length of a rectangle is 3 metern .<br> more than triple the width
mariarad [96]
It is 9 because you need to triple 3 so 3x3 is 9
7 0
2 years ago
Which of the following sets of numbers could represent the three sides of a triangle?
LUCKY_DIMON [66]
8 11 16 should be correct
8 0
3 years ago
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