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2 years ago

Simplify each radical expression

1 answer:

3 0

31.
$5 \sqrt{6} - 3 \sqrt{6} = 2 \sqrt{6}$
32.
$\sqrt{2} ( \sqrt{8} + \sqrt{6} ) \\ \sqrt{16} + \sqrt{12} \\ 4 + 2 \sqrt{3}$
33.
$(3 \sqrt{2} - 2 \sqrt{5} )(4 \sqrt{2} + 2 \sqrt{5} ) \\ 12 \sqrt{4} + 6 \sqrt{10} - 8 \sqrt{10} - 4 \sqrt{25} \\ 24 - 2 \sqrt{10} - 20 \\ 4 - 2 \sqrt{10}$
pls mark me as brainliest

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Licemer1 [7]

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Step-by-step explanation:

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2 years ago

A rectangle has a height of 4x ^ 3 width of x ^ 3 + 3x ^ 2 + 2x . Express the area of the entire rectangle .

astra-53 [7]

Answer:

$4x^6+12x^5+8x^4$

Step-by-step explanation:

To find the area of a triangle, you need to multiply the width by the height. In this case:

$(4x^3)(x^3+3x^2+2x)=\\4x^6+12x^5+8x^4$

Hope this helps!

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3 years ago

You're playing a game when you defend your village from an orc invasion there are three characters elf hobbit or human and five

34kurt

The probability that you'll be a magic elf is $\frac{1}{15}$ or 6.66%.

Step-by-step explanation:

Step 1:

Let A be the event of you choosing an elf.

The probability of an event is given by dividing the number of favorable outcomes by the total number of outcomes.

Here the number of favorable outcomes is 1 and the total number of outcomes is 3 i.e. elf, hobbit or human.

The probability of choosing an elf, $P(A) = \frac{1}{3} .$

Step 2:

Let B be the event of you choosing magic as your defense.

In this situation, the number of favorable outcomes is 1 and the total number of outcomes is 5 i.e. magic, sword, shield, slingshot, or umbrella.

The probability of choosing magic as your defense, $P(B) = \frac{1}{5} .$

Step 3:

The probability of both events A and B happening, we multiply the individual probabilities.

$P(getting a magic elf) = (P(A))(P(B)) = (\frac{1}{3} )(\frac{1}{5} ) = \frac{1}{15} = 6.66\%.$

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2 years ago

A need help Dilations-He Said, She Said (12/10)

Elodia [21]

Answer:

We conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

Step-by-step explanation:

Checking the location of the vertices of the original triangle ΔDEF

D(-2, 4)
E(2, 4)
F(0, 2)

Checking the location of the dilated vertices of the image triangle ΔD'E'F'

D'(-5, 10)
E'(5, 10)
F'(0, 5)

Notice that if we multiply the vertices of the original triangle ΔDEF by 5/2, we get the correct image vertices of image triangleΔD'E'F'

i.e.

D(-2, 4) → D'(5/2 (-2), 5/2 (4)) → D'(-5, 10)

E(2, 4) → E'(5/2 (2), 5/2(4)) → D'(5, 10)

F(0, 2) → E'(5/2 (0), 5/2(2)) → F'(0, 5)

Thus, we conclude that the original triangle ΔDEF is dilated by a scale factor of 5/2 to get the image triangle ΔD'E'F'.

Therefore, 'Cárl' is correct. Hence, option 'a' is correct.

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2 years ago