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3 years ago

How do you solve these?

Mathematics

1 answer:

Murrr4er [49]3 years ago

6 0

Answer:

Step-by-step explanation:

The first and only rule really is to factor these down to their primes and then apply a very simple rule

For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.

That's very wordy. Let's try and see what it means with an example

Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.

sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.

sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.

64 = 2 * 2 *2 *2 *2 * 2

4th root 64 = 2*2*2 *2 * 2 *2

for every 4th root, you get to take 1 out and throw three away.

4th root 64 = 2 fourth root (2*2)

4th root 64 = 2 fourth root (4)

- 189 = - 3 * 3 * 3 * 7

cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.

3 cube (- 7) is your answer.

72 = 2 * 2 * 2 * 3 * 3

cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.

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The hardware store sells green buckets, which hold 7 liters of water, and white buckets, which hold 1 liter. Austin bought 8 buc

qaws [65]

Answer: 5 green buckets and 3 white buckets

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3 years ago

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Ksju [112]

Answer:

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3 years ago

Determine whether abc ----> jgh is a reflection, translation, rotation, or glide reflection.

Usimov [2.4K]

From this picture you can calculate coordinates of triangles' vertices:
$A(-9,0),\ B(-6,-4),\ C(-3,0),\ J(8,0),\ G(5,4),\ H(2,0)$ .

Since

$\frac{-9+8}{2} = \frac{-6+5}{2}= \frac{-3+2}{2}=- \frac{1}{2}$ $\frac{0+0}{2}= \frac{-4+4}{2} = \frac{0+0}{2} =0$

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3 years ago

(PLEASE HELP/NO SPAM) Which equation shows the function y=2^x translated 4 units left and 2 units down?

lianna [129]

Answer:

The answer is (h).

Step-by-step explanation:

When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.

The function becomes

y = 2^(x+4) -2.

Finally, you shift -2 to the same side as y.

This becomes

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3 years ago

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two

maxonik [38]

The first mistake of Ana is sum of interior is 180° that is given by the definition. Then the correct option is A.

The statements, reasons, and options are attached below.

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Linear angle – If the total of two angles is 180 degrees, they are said to be linear angles.

Ana tried to prove that an exterior triangle angle measure equals the sum of the measures of the two interior angles not adjacent to it.

∠1 + ∠2 + ∠3 = 180° (By definition of triangle)

∠3 + ∠4 = 180° (By definition of linear angle)

∠1 + ∠2 + ∠3 = ∠3 + ∠4 (Substitution)

∠1 + ∠2 = ∠4 (Subtraction on both side by ∠3)

The first mistake of Ana is sum of interior is 180° that is given by the definition.

Then the correct option is A.

More about the triangle link is given below.

brainly.com/question/25813512

#SPJ1

6 0

2 years ago