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sertanlavr [38]
2 years ago
12

Please explain this to me.

Mathematics
1 answer:
Nutka1998 [239]2 years ago
3 0

Answer:

  • The value of x is 12 units.

Step-by-step explanation:

<u>We know that:</u>

  • Formula: h² = a² + b²

<u>Let's solve using Pythagoras theorem.</u>

  • => 13² = 5² + x²
  • => 169 = 25 + x²
  • => 169 - 25 = x²
  • => 144 = x²
  • => √x² = √144
  • => x = √144
  • => x = 12

Hence, the value of x is 12 units.

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I WILL GIVE BRAINLIEST IF YOU CAN ANSWER THESE TWO QUESTIONS!!!!
marissa [1.9K]

Answer:

2. Eunju is right

3. x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24.

Step-by-step explanation:

<u>Polynomial Remainder Theorem</u>

The polynomial remainder theorem states that the remainder of the division of a polynomial f(x) by (x-a) is equal to f(a).

As a consequence, if a polynomial is divisible by x-a, f(a)=0.

Part 1:

Let's make:

f(x)=(x+b)^3+(x+c)^2-(b-c)

To find out if x+b is a factor of f(x), we find f(-b):

f(-b)=(-b+b)^3+(-b+c)^2-(b-c)

Operating:

f(-b)=(-b+c)^2-(b-c)

The value of f(-b) is not zero. This means Eunju is right, x+b is not a factor of f(x).

Part 2:

We must find out if x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24 without using long division or synthetic division.

We can use the polynomial remainder theorem again, but since the factor is not in the form (x-a), we can factor it as follows:

x^2+5x+6 =(x+2)(x+3)

Now we just apply the theorem twice. If both remainders are zero, then the assumption is true.

Let's make:

f(x)=x^4+5x^3+2x^2-20x-24

Find f(-2):

f(-2)=(-2)^4+5(-2)^3+2(-2)^2-20(-2)-24

f(-2)=16-5*8+2*4+40-24 =16-40+8+40-24=0

Find f(-3):

f(-3)=(-3)^4+5(-3)^3+2(-3)^2-20(-3)-24

f(-3)=81-5*27+2*9+60-24

f(-3)=81-135+18+60-24 =0

Since both f(-2) and f(-3) are zero, x^2+5x+6 is a factor of x^4+5x^3+2x^2-20x-24.

5 0
2 years ago
What are the solutions of x^2+2x-3=0?
Nikolay [14]
X= 1,-3   If you factor equation you get x-1=0 and x+3=0

4 0
2 years ago
Please help me……………………………………………………………
Irina18 [472]

Hey there! :)

Answer:

x = -6.

Step-by-step explanation:

Given:

\sqrt[3]{5x-4} = \sqrt[3]{7x + 8}

Cube both sides:

5x - 4 = 7x + 8

Subtract 5x from both sides:

-4 = 2x + 8

Subtract 8 from both sides:

-12 = 2x

x = -6.

3 0
3 years ago
Plz help....<br> Ma teacher's Gon kill me.....lol
erik [133]
Answers:

1. 74856 + 1489
= 76345

2. 42000/5
= 8400

3. 142100/10
= 14210

4. 2500 + (8-5)
2500 + 3
= 2503

5. 385 + (29 - 9)
385 + 20
= 405

6. 1780 - 643
= 1137

7. 4 x 2 + 30 / 5
4 x 2 + 6
8 + 6
= 14

8. 65743 - 754
= 64989
4 0
2 years ago
A rectangle and a vertical line are shown. If the rectangle is revolved about the vertical line, what is the resulting object?
sasho [114]

Answer:

a hollow cylinder

Step-by-step explanation:

the answer is a hollow cylinder

since the revolution only takes care of the curved surface area

7 0
2 years ago
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