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Mariana [72]
3 years ago
13

Savannah is 24 years older than Ryan, while Sebastian is 5 times as old as Ryan. If Savannah and Sebastian are twins, which equa

tion may be used to determine the age of all three people?
A) 8x = 24
B) 24 + 2x = 5x
C) 24 + 5x = x
D) 24 + x = 5x
Mathematics
1 answer:
STatiana [176]3 years ago
4 0

Answer:

The correct answer is D) 24 + x = 5x

Step-by-step explanation:

Since they are twins, we know they are the same age. Since Savannah is 24 years older than Ryan, we can model it as 24 + x, where x is Ryan's age.

Since Sebastian is five times as old as Ryan, we can model it as 5x.

Now, we can set them equal to each other.

24 + x = 5x

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Use Euler's formula for this for a 3D figure. F + V = E + 2, where F is the number of faces, V is the number of vertices, E is the number of edges, +2! You have enough info to fill in the formula to find that the number of vertices is 6.
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4 years ago
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Question 14 of 25What is the complete factorization of the polynomial below?x³+x² + 4x+4O A. (x-1)(x+2)(x+2)B. (x + 1)(x + 2)(x
mote1985 [20]

GIVEN:

We are given the following polynomial;

x^3+x^2+4x+4

Required;

We are required to factorize this polynomial completely.

Step-by-step explanation;

To factorize this polynomial, we start by grouping;

(x^3+x^2)+(4x+4)

We now take the common factor in each group;

\begin{gathered} x^2(x+1)+4(x+1) \\  \\ (x^2+4)(x+1) \end{gathered}

Next, we factorize the first parenthesis. To do this we set the equation equal to zero and solve for x as follows;

\begin{gathered} x^2+4=0 \\  \\ Subtract\text{ }4\text{ }from\text{ }both\text{ }sides: \\  \\ x^2=-4 \\  \\ Take\text{ }the\text{ }square\text{ }root\text{ }of\text{ }both\text{ }sides: \\  \\ x=\pm\sqrt{-4} \\  \\ x=(\pm\sqrt{-1}\times\sqrt{4}) \\  \\ x=\pm2i \end{gathered}

Therefore, the factors of the other parenthesis are;

(x+2i)(x-2i)

Therefore, the complete factorization of the polynomial is;

ANSWER:

(x+1)(x+2i)(x-2i)

Option C is the correct answer.

4 0
1 year ago
3x + 2y = 12<br> y = x - 9
Lina20 [59]

Answer:

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Answer:

Area is 20.46

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Area is length × breadth

6.2 × 3.3 = 20.46

The volume can't be found since there is no height

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2 years ago
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