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3 years ago

Can someone help me pls 25 points

Mathematics

2 answers:

Tamiku [17]3 years ago

7 0

Answer:

Step-by-step explanation:

(2x)³= 2x*2x*2x

(2x)³=8x³

Ivahew [28]3 years ago

3 0

Answer:

8x^{3}

Step-by-step explanation:

By the laws of exponents we have to multiply each term in the parenthesis by the exponent on the outside:

(2x)^{3} would be equal to = 8x^{3}

Another way we could write would be (2x)(2x)(2x) = 8x^{3}

The second one is the same, just fill in as 8 and 3

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If the ratio of boys to girls at the school is 2:5 and there are 40 boys how many girls are there?

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100 girls

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The ratio of boys : girls is 2 : 5.

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3 years ago

Order each set of integers from least to greatest; -55, 143, 18, -79, 44, 101

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Find the perimeter of the following triangle.

pashok25 [27]

Hello!

To find the perimeter of the triangle, we need to find the length of all the sides using the <u>distance formula</u>.

The distance formula is: $d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

First, we can find the distance between the points (-3, -1) and (2, -1). The point (-3, -1) can be assigned to $(x_{1},y_{1})$ , and (2, -1) is assigned to $(x_{2},y_{2})$ . Then, substitute the values into the formula.

$d =\sqrt{(2 - (-3))^{2}+ (-1 - (-1))^{2}}$

$d =\sqrt{5^{2}+0^{2}}$

$d =\sqrt{25} = 5$

The distance between the points (-3, -1) and (2, -1) is 5 units.

Secondly, we need to find the distance between the points (2, 3) and (2, -1). Assign those points to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then substitute it into the formula.

$d =\sqrt{(2 - 2)^{2}+ (-1 - 3)^{2}}$

$d =\sqrt{0^{2}+(-4)^{2}}$

$d =\sqrt{16} = 4$

The distance between the two points (2, 3) and (2, -1) is 4 units.

Finally, we use the distance formula again to find the distance between the points (-3, -1) and (2, 3). Remember the assign the ordered pairs to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ and substitute!

$d =\sqrt{(2 -(-3))^{2}+ (3 - (-1))^{2}}$

$d =\sqrt{5^{2}+4^{2}}$

$d =\sqrt{25 + 16}$

$d =\sqrt{41}$ This is equal to approximately 6.40 units.

The last step is to find the perimeter. To find the perimeter, add of the three sides of the triangle together.

P = 5 units + 4 units + 6.4 units

P = 15.4 units

Therefore, the perimeter of this triangle is choice A, 15.4.

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