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3 years ago

Which expressions are equivalent to the given expression?

Mathematics

2 answers:

kirill [66]3 years ago

6 0

Simplify Square Roots -

Find one perfect square and one imperfect square to multiply to the square root.

$\sqrt{4 \times 10} = 2 \sqrt{10}$

$40^{ \frac{1}{2} } = \sqrt[2]{(40) ^{1} } = \sqrt{40}$

$\sqrt{40} \neq 4 \sqrt{10}$

$160 ^{ \frac{1}{2} } = \sqrt[2]{160 ^{1} } = \sqrt{160} \neq \: \sqrt{40}$

$5 \sqrt{8} \neq \: \sqrt{40}$

ale4655 [162]3 years ago

5 0

Answer:

(a). and (b).

Step-by-step explanation:

You might be interested in

The height, h, in feet of a rock above the ground is given by the equation h = -16t^2 + 24t + 16, where t is the time in seconds

boyakko [2]

The rock will hit the ground at 2 seconds.

Explanation:

Given that the height, h, in feet of a rock above the ground is given by the equation $h=-16t^2+24t+16$ , where t is the time in seconds after the rock is thrown.

We need to determine the time at which the rock will hit the ground.

To determine the time, let us equate the height h = 0 in the equation $h=-16t^2+24t+16$ , we get,

$0=-16t^2+24t+16$

Switch sides, we have,

$-16 t^{2}+24 t+16=0$

Let us solve the equation using the quadratic formula.

Thus, we have,

$t=\frac{-24 \pm \sqrt{24^{2}-4(-16) 16}}{2(-16)}$

Simplifying, we get,

$t=\frac{-24 \pm \sqrt{576+1024}}{-32}$

$t=\frac{-24 \pm \sqrt{1600}}{-32}$

$t=\frac{-24 \pm 40}{-32}$

Hence, the two values of t are

$t=\frac{-24 + 40}{-32}$ and $t=\frac{-24 -40}{-32}$

Simplifying the values, we get,

$t=\frac{16}{-32}$ and $t=\frac{-64}{-32}$

Dividing, we get,

$t=-\frac{1}{2}$ and $t=2$

Since, t cannot negative values, we have,

$t=2$

Thus, the rock will hit the ground at 2 seconds.

8 0

3 years ago

Please choose answer choice a,b,c or d

dmitriy555 [2]

Answer:

A. -4

Step-by-step explanation:

Slope is rise over run, or y2-y1 / x2-x1.

$\frac{y2-y1}{x2-x1} = \frac{-4-8}{2--1} =\frac{-12}{3} = -4$

<u>The slope is A. -4.</u>

Let's see--does that make sense? A slope of four would be pretty steep, and that matches the graph. It also should be negative because the line goes down and to the right, not up and to the right, so -4 makes sense!

4 0

3 years ago

Use the distributive property to remove the parentheses. -8(-v^[2]-3+6x^[3])

Kruka [31]

Answer:

8v^2+24-48x^3

Distribute the -8 to each term to get your answer.

Hope I helped!

6 0

3 years ago

Plz help me with this

Oksi-84 [34.3K]

Answer:

slope:3

y intercept:1

equation:y=3x+1

Step-by-step explanation:

5 0

3 years ago

What is 28196−−−√ written in simplified radical form?

kirill [66]

Answer:

167.9166459

Step-by-step explanation:

6 0

3 years ago