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3 years ago

If B is the midpoint of AC and AB = 4x + 14 and BC = x + 20, determine how long AC is.

Mathematics

2 answers:

Serhud [2]3 years ago

5 0

Answer:

44 units

Step-by-step explanation:

Since B is the mid-point of AC

AB=BC

or,4x+14=x+20

or, 4x-x=20-14

or 3x=6

or,x=6/3=2

AC=AB+BC

= 4x+14+x+20

= 4(2) + 14 +2 +20

= 8+14+22

=44 units

olchik [2.2K]3 years ago

5 0

Answer:

44 units

Step-by-step explanation:

We know that B is the midpoint of AC, so by definition, AB = BC. Thus, set the two expressions equal and solve for x:

AB = BC

4x + 14 = x + 20

3x = 6

x = 2

Given that x = 2, plug this into the expression for AB and BC and add them to get AC:

AC = AB + BC = 4 * 2 + 14 + 2 + 20 = 44

Hence, AC is 44 units.

Hope this helps!

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3 years ago

What is the multiplicative inverse of −9?

Romashka-Z-Leto [24]

Answer:

The answer to your question is: letter C

Step-by-step explanation:

Multiplicative inverse is a pair of numbers which product gives 1.

Then

x will be our number

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8 0

3 years ago

PLZ HELP!!!!!!!!!!!!!!!!!!

Inessa05 [86]

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= $-6x^2+100x-180$

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x $= \frac{-b\pm\sqrt{b^2-4ac}}{2a}$$

$= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$$

$= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$$

$= \frac{-100\pm\sqrt{5.680}}{-12}$$

$= \frac{-100 + 75.3658}{-12}$$

$= \frac{24.6342}{-12}$

x^1 = -2.05285

Now

x^2 $= \frac{-100 - 75.3658}{-12}$$

$= \frac{- 175.3658}{-12}$

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Based on this the option D is most appropriate as per the given situation

4 0

2 years ago

Read 2 more answers

PLZ help Asap!!!!!!!!!!!!!!!!!!!!!!!

maria [59]

I'm may not be that good at math, but I'm going to try my best to help you, because I know how it feels to be in this situation!

The first one :
You might be right on D. But I'm thinking B also. The question asks "Which could be a cross section of a rectangular pyramid that has been intersected by a plane perpendicular". But a triangle is basically a flat pyramid.

(I'm typing really fast to help!!!!)

Second one: Its B!! Look at it really closely! You'll get it!!!

(Going really fast now!!!!)

Third one: Between B or D!!! But I think you're right on your choice!!!!

(FASTER FASTER!!!)

FINALLY: Copy and paste your answers into google. People have asked the same question!

I hope I helped. I don't want to make you fail, as I am in the SAME similar situation as you! I really REALLY REALLY HOPE YOU PASS!!!

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3 years ago