All categories

3 years ago

Points A, B, and C are collinear and B lies between A and C. If AC = 48, AB = 2x + 2, and BC = 3x + 6, what is BC?

Mathematics

2 answers:

scZoUnD [109]3 years ago

8 0

Answer:

Step-by-step explanation:

AC = AB + BC

48 = 2x + 2 + 3x + 6

48 = 5x + 8

48 - 8 = 5x

40 = 5x

40/5 = x

8 = x

Finding BC

BC = 3x + 6

BC = 3(8) + 6

BC = 24 + 6

BC = 30

Coordinate = -3 + 8 = 5

Reika [66]3 years ago

7 0

Answer:

BC = 30
5

Step-by-step explanation:

We know that adding AB and BC will give us AC so we can create an equation and solve for x.

2x + 2 + 3x + 6 = 48

~Combine like terms

5x + 8 = 48

~Subtract 8 to both sides

5x = 40

~Divide 5 to both sides

x = 8

Now that we know the value of x, we can solve for BC.

= 3(8) + 6

= 24 + 6

= 30

I would assume 8 is the length of EG so we would add that value to -3 and find where that would be at on the number.

-3 + 8 = 5

Best of Luck!

You might be interested in

Need help with a math question

Mekhanik [1.2K]

Answer:

$z =3\sqrt{13}$

Step-by-step explanation:

In the figure you can identify up to 3 straight triangles.

To solve the problem, write the Pythagorean theorem for each triangle.

Triangle 1

$13^2 = z^2 + x^2$

Triangle 2

$z^2 = y^2 + 9^2$

Triangle 3

$x^2 = y^2 + 4^2$

Now substitute equation 2 and equation 3 in equation 1 and solve for y.

$13^2 = y^2 + 9^2 + y^2 + 4^2$

$13^2 = 2y^2 + 9^2 + 4^2$

$169 = 2y^2 + 81 + 16$

$2y^2 =72$

$y^2 =36$

$y =6$

substitute the value of y in the second equation and solve for z

$z^2 = 6^2 + 9^2$

$z^2 = 36 + 81$

$z^2 = 117$

$z = \sqrt{117}$

$z =3\sqrt{13}$

5 0

3 years ago

Help me -2 (8 - e) = 2 - e

-BARSIC- [3]

Answer:

e = 6

Step-by-step explanation:

Step 1: Write equation

-2(8 - e) = 2 - e

Step 2: Solve for e

Distribute -2: -16 + 2e = 2 - e
Add e to both sides: -16 + 3e = 2
Add 16 to both sides: 3e = 18
Divide both sides by 3: e = 6

Step 3: Check

Plug in e to verify it's a solution.

-2(8 - 6) = 2 - 6

-2(2) = -4

-4 = -4

3 0

3 years ago

marusya05 [52]

For this i would use the equation of a cylinder to find the surface area and the equation would be 2(3.14)1.5(7) + 2(3.14)1.5 = 75.36 and you would want to wrap it in something bigger than the vase itself so the best answer would be 80.11 inches squared

8 0

3 years ago

Solve the following inequality for x.

ikadub [295]

Answer:

B.x>-6

Step-by-step explanation:

-3x+2>-10-5x

-3x+5x>-10-2

2x>-12

2x/2>-12/2

x>-6

5 0

3 years ago

A 6 month old sheltie puppy gets 2.5 cups of food twice per day. Select the equation that describes how many cups of food she ea

Molodets [167]

Answer:

y = 5x

D is the correct option.

Step-by-step explanation:

We have been given that sheltie puppy gets 2.5 cups of food twice per day.

It means that in a day she eats 5 cups of food. It means the rate is 5 cups of food per day.

The equation will be linear.

Let y be the number of cups of food she eat and x is the number of days.

Hence, we have

Slope = 5

And the equation that represents the number of cups of food she eats is given by

y = 5x

D is the correct option.

5 0

3 years ago