MATHEMATICS HIGH SCHOOL

Expand (2x-3y+3)^2

PLEASE HELP!!

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

(x+ y + z)² = x² +y² + z² + 2xy +2yz + 2zx

Here, x = 2x ; y = -3y & z = 3

(2x - 3y + 3)² = (2x)² + (-3y)² + 3² + 2(2x)(-3y) + 2(-3y)3 + 2*3*(2x)

= 4x² + 9y² + 9 - 12xy - 18y + 12x

Answer 2

Answer:

Answer:

4x² + 9y² + 12x - 18y - 12xy + 9

Step-by-step explanation:

Given

(2x - 3y + 3)² = (2x - 3y + 3)(2x - 3y + 3)

Each term in the second factor is multiplied by each term in the first factor, that is

2x(2x - 3y + 3) - 3y(2x - 3y + 3) + 3(2x - 3y + 3)

Distribute the 3 parenthesis

= 4x² - 6xy + 6x - 6xy + 9y² - 9y + 6x - 9y + 9 ← collect like terms

= 4x² + 9y² + 12x - 18y - 12xy + 9

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Translate the sentence into an equation. Twice the sum of a number and 5 equals 8

Answers

Colten worked 5 days a week witch working 4 more weeks equals 8 days total

Two boys and three girls are auditioning to play the piano for a school production. Two students will be chosen, one as the pianist, the other as the alternate. What is the probability that the pianist will be a boy and the alternate will be a girl? Express your answer as a percent.

Answers

Answer: The probability that he pianist will be a boy and the alternate will be a girl is 30%.

Explanation:

Since we have given that

Number of boys are auditioning to play the piano for a school production = 2

Number of girls are auditioning to play the piano for a school production = 3

Total number of candidates is given by

$2+3=5$

Now,

Let Event A denotes pianist will be a boy.

Let Event B denotes alternate will be girl.

Since Event A and B are independent events so,

$P(\text{ A and B})=P(A)* P(B)$

So,

Probability that the pianist will be a boy and the alternate will be a girl is given by

$(2)/(5)* (3)/(4)\n\n=(6)/(20)=(3)/(10)$

Now, we have to change it into percent ,

$(3)/(10)* 100=3* 10=30\%$

Hence ,the probability that he pianist will be a boy and the alternate will be a girl is 30%.

The probability helps us to know the chances of an event occurring. The probability that the pianist will be a boy and the alternate will be a girl is 0.3.

What is Probability?

The probability helps us to know the chances of an event occurring.

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

As there are 2 boys and 3 girls. And out of this total of 5 people, we need to know the probability of a boy being selected first. Therefore, the probability can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of boys}}{\text{Number of people}} = (2)/(5)$

Now since one boy is already selected the number of choices will reduce to 4, therefore, the probability of selecting a girl next can be written as,

$\rm Probability=(Desired\ Outcomes)/(Total\ Number\ of\ outcomes\ possible)$

$\rm Probability=\frac{\text{Number of girls}}{\text{Number of people}} = (3)/(4)$

Thus, the probability that the pianist will be a boy and the alternate will be a girl can be written as,

$\rm Probability=\frac25 * \frac34 = (3)/(10) = 0.3$

Hence, the probability that the pianist will be a boy and the alternate will be a girl is 0.3.

Learn more about Probability:

brainly.com/question/795909

Question 9 PLZ HELP FAST ILL GOVE BRAINLIST AND EXTRA MALE SURE TOU EXPLAIN YOURSELF

Answers

Answer:

Step-by-step explanation:

the unit right below yards is ft so we can mark out A

we also know that there are 3 feet in 1 yard and that in order for the unit yard to cancel out, the 1 yard needs to be the denominator to 3 feet, so we can mark out D

the unit right below feet is inches and we know that there are 12 inches in one foot, so we can mark out B

this leaves us with C

Heather built a geometrically similar model of the great pyramid. The height of the actual pyramid is approximately 147 meters. Heathers model is 98 millimeters in height. The width of the base of the actual pyramid is 231 meters. Which measurement is closest to the width of the base of Heathers model?

Answers

Answer:

154 millimeters

Step-by-step explanation:

Answer:

154

Step-by-step explanation:

Plato test said i was right

HELP PLEASEIf the radius of the base of the cone, r, is 2 feet and the height,h, is 12 feet, what is the volume of the cone?

Answers

For a cone, the equation for volume would be
V = π r^2 h/3.

( volume = pi x radius squared x height / 3)

To find the volume for this question, you would set up the equation like this:

V = π x 2^2 x 12 / 3

Then, following the order of operation, you would do the following:

V = π x 4 x 12 / 3

(You get the 4 from 2 squared)

V = π x 4 x 4

(You get the second 4 from dividing 12 by 3)

V = π x 16

(You get 16 from multiplying 4 and 4)

V = 16π

(You get 16π from multiplying 16 and π, and the number is always in front of the π, so you would never get a π16, it would only be 16π)

So, your volume would be 16π, which is answer D.

I hope I helped! c:

11 less than the product of a number y and -2 is z