MATHEMATICS HIGH SCHOOL

What is the factored form of the expression? s4 – 16
A. (s - 2)2(s + 2)2
B. (s - 2)(s + 2)
C. (s - i)(s + i)(s - 2)(s + 2)
D. (s^2 + 4)(s + 2)(s - 2)

Answers

Answer 1

Answer:

Answer:

$(s^(2)+ 4)$ (s + 2) (s -2).

Step-by-step explanation:

Given : $s^(4) - 16$ .

To find : What is the factored form of the expression.

Solution : We have given that $s^(4) - 16$ .

By $a^(2) - b^(2) = (a-b) (a+b)$ .

$s^(4) - 16$

$(s^(2))^(2) - 4^(2)$ = $(s^(2) -4) (s^(2)+ 4)$

We can write $(s^(2) -4)$ as $s^(2) - 2^(2)$

$s^(2) - 2^(2)$ = (s + 2) (s -2).

Then ,

$(s^(2))^(2) - 4^(2)$ = $(s^(2)+ 4)$ (s + 2) (s -2).

Therefore, $(s^(2)+ 4)$ (s + 2) (s -2).

Answer 2

Answer:

The factoredform of the expression s^4 - 16 is (s - 2)(s + 2)(s^2 + 4).

Option D is the correct answer.

We have,

To factor the expression s^4 - 16, we can recognize it as the difference of squares.

The term s^4 can be written as (s^2)^2, and 16 can be written as 4^2.

Using the formula for the difference of squares, we have:

s^4 - 16 = (s^2)^2 - 4^2.

Now, we can factor the expression as follows:

s^4 - 16 = (s^2 - 4)(s^2 + 4).

The term (s^2 - 4) is a difference of squares and can be further factored as:

s^2 - 4 = (s - 2)(s + 2).

Therefore,

The factoredform of the expression s^4 - 16 is (s - 2)(s + 2)(s^2 + 4).

Learn more about expressions here:

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Answer: 12

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First we need to substitute the value of the variable into the expression and simplify.

b-(b+a×4c÷4) = 1 - (1 + -6 × 4(2) ÷ 4).

Now we need to solve 1 - (1 + -6 × 4(2) ÷ 4).

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1 - (1 + -6 × 4(2) ÷ 4)

| First, we cancel out 4 and 4.

1 - (1 - 6 × 2)

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Next, we multiply -6 and 2 to get -12.

1 - (1 - 12)

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Then we subtract 12 from 1 to get -11.

1 - (-11)

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The opposite of -11 is 11.

1 + 11.

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Add 1 and 11 to get, you guessed it, 12!

Answer:

Answer: 12

Hope this helps

What is the measure of the central angle of a circle with radius 5 m that intercepts a 2 m arc round your answer to the hundredths place use pie=3.14

Answers

the arc is like the circumference, but only a fraction of it (like the crust of a pizza slice)

ok so find what fraction of the circumference that arc is
C=2pir
r=5
c=2pi5
c=10pi

2 out of 10pi=2/10pi=1/5pi

whole circle=360
1/5pi of 360=360/5pi=72/pi=72/3.14=22.9299
round
22.93 degrees

Answer:

22.93

Step-by-step explanation:

he vertex of a parabola is in the first quadrant of a coordinate grid. A line with a negative slope passes through the origin. If the parabola and line intersect at the origin, which statement must be true?

Answers

.if a is positive, the parabola opens up or to the right.
if a is negative, the parabola opens down or to the left

A parabola is a curved-forming shape in a graph that describes many important figures like the relationship, the focus and the magnitude of the variables involved.

Answer:

it moves down

Step-by-step explanation:

...

Simplify and solve this equation for q: 3q + 5 + 2q - 5 = 65.a. q = 13
b. q = 15
c. q = 11
d. q = 23