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2 years ago

What is the solution to 2x2 8x=x2-16? x=-4 x=-2 x=2 x=4

Mathematics

2 answers:

julsineya [31]2 years ago

7 0

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

<h3>What is a factorization?</h3>

It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.

The equation is given below.

2x² + 8x = x² - 16

Then on simplifying, we have

x² + 8x + 16 = 0

x² + 4x + 4x + 16 = 0

(x + 4)(x + 4) = 0

(x + 4)² = 0

x = -4

More about the factorization link is given below.

brainly.com/question/6810544

svetlana [45]2 years ago

4 0

Answer:

The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.

Step-by-step explanation:

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3 years ago

A planter shaped like a rectangular prism has a length of 4 meters, a width of 4 meters, and a height of 3 meters. Attached to t

Blababa [14]

Answer:

Planter 1 is 48 meters cubed

Planter 2 is 24 meters cubed

Total volume = 72

Step-by-step explanation:

The formula for the volume of a rectangular prism is length times width times height. So, 4*4*3. This equals 48. If the other planter is half the volume, divide 48 by 2 to get 24 meters cubed. To find the total area add both results to get a total of 72 meters cubed.

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3 years ago

The current size of an image on Sandra's computer is shown below:

Radda [10]

6*1/2=3
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4 years ago

Read 2 more answers

suppose you earn $12 each time you mow the lawn. which function describes the relationship between your total earnings E and the

soldi70 [24.7K]

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E = 12m

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3 years ago

Read 2 more answers

Find radiuses of circles, if OO1=20cm and 3AK=2BK

Serggg [28]

Answer:

radius of smaller circle on the left = 8 centimeters
radius of larger circle on the right = 12 centimeters

=============================================================

Explanation:

The letter O looks very similar to the number zero, so I'm going to use other letters to avoid confusion. For the smaller circle on the left, it'll have center P. The circle on the right will have center Q. See the diagram below.

Based on that, we can say that PQ = 20 cm.

Let x = length of PK

PK + KQ = PQ

KQ = PQ - PK

KQ = 20 - x

We'll keep this in mind for later. I'll refer to this as "Fact 1" when it does come up later.

------------------------

We're given this equation

3AK=2BK

Let's get the numbers to one side and the letters to the other side like so:

3AK=2BK

3AK/BK = 2

AK/BK = 2/3

We'll use this later as well. I'll refer to this as "Fact 2" when it does come up later.

------------------------

Next, draw a segment from P to A to form triangle PAK (also shown in the diagram below). Do the same for points Q and B to form triangle QBK.

The segments PA and PK are radii of the smaller circle, so PA = PK which leads to triangle PAK being isosceles. Triangle QBK is also isosceles for similar reasoning.

The angles AKP and QKB are vertical angles, so they are congruent.

The facts mentioned so far boil down to the two triangles being similar triangles (use the angle angle method to prove).

------------------------

Now that we know the triangles are similar, we can use a proportion to solve for x.

PK/KQ = AK/KB

PK/KQ = 2/3 .... use fact 2

x/(20-x) = 2/3 .... use fact 1

3x = 2(20-x) .... cross multiply

3x = 40 - 2x

3x+2x = 40

5x = 40

x = 40/5

x = 8

So,

PK = x = 8
KQ = 20-x = 20-8 = 12

The radius of the smaller circle on the left is <u>8 cm</u>.

The radius of the larger circle on the right is <u>12 cm</u>.

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2 years ago