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2 years ago

"Question": Expand (2x-3y)^3 Real question: Why am I not ace rank yet?

Mathematics

2 answers:

Hitman42 [59]2 years ago

5 0

Answer: (6x-3y)3 or maybe not possible to do

Step-by-step explanation

multiply 3x2 and get 6. Multiply 3x3 and get 9.

Vladimir [108]2 years ago

4 0

Answer:

We use the above identity: (a+b) 3 =a 3 +3a 2 b+3ab 2 +b 3 . Take a=2x and b=3y and we get

(2x+3y) =(2x) 3 +3(2x) 2 (3y)+3(2x)(3y) 2 +(3y) 3 =8x 3 +36x 2 y+54xy 2+27y 3

Step-by-step explanation:

You might be interested in

Four of your friends went out to dinner. The total bill was $97.38. One of your friends has a coupon for 35% off and the group l

GaryK [48]

It is $18.672615 or $18.67 a piece

4 0

3 years ago

For a certain race, 4 teams were allowed to enter 3 members each. A team earned 9 – n points whenever one of its members finishe

emmasim [6.3K]

Answer:

D. 3 Points

Step-by-step explanation:

Given

$Members = 3$

$Point = 9 - n$

$1 \leq\ n \leq 8$

Required

Determine the least possible score

The least point a member of a team can get is when n = 8.

i.e.

$Point = 9 - n$

$Point = 9- 8$

$Point = 1$

To get the least score, each of the 3 members must have 1 point each.

So:

$Total = 3 * 1$

$Total = 3$

5 0

2 years ago

Which set of numbers could represent the lengths of the sides of a right triangle?

DiKsa [7]

Answer:

The first set: 8, 15, and 17.

Step-by-step explanation:

By the pythagorean theorem, a triangle is a right triangle if and only if

$\text{longest side}^2 = \text{first shorter side}^2 + \text{second shorter side}^2$ .

In this case,

$\text{longest side}^2 = 17^2 = 289$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 8^2 + 15^2\\ &=64 + 225 = 289 \end{aligned}$ .

In other words, indeed $\text{hypotenuse}^2 = \text{first leg}^2 + \text{second leg}^2$ . Hence, 8, 15, 17 does form a right triangle.

Similarly, check the other pairs. Keep in mind that the square of the longest side should be equal to the sum of the square of the two

Factor out the common factor $2$ to simplify the calculations.

$\text{longest side}^2 = 20^2 = 400$

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 10^2 + 15^2\\ &=100 + 225 = 325 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = (2\times 11)^2 = 2^2 \times 121$ .

$\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= (2 \times 6)^2 + (2 \times 9)^2\\ &=2^2 \times(36 + 81) = 2^2 \times 117 \end{aligned}$ .

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

$\text{longest side}^2 = 11^2 = 121$ .

<h3> $\begin{aligned}&\text{first shortest side}^2 + \text{second shortest side}^2 \\ &= 7^2 + 9^2\\ &=49+ 81 = 130 \end{aligned}$ .</h3>

$\text{longest side}^2 \ne \text{first shorter side}^2 + \text{second shorter side}^2$ .

Hence, by the pythagorean theorem, these three sides don't form a right triangle.

6 0

3 years ago

Measure the screwdriver's length to the nearest tenth of a centimeter. Express the answer as a decimal.

Alja [10]

Answer:

17.1 cm

Step-by-step explanation:

A screw driver is a mechanical tool or device which is mainly used for screwing the screws and unscrewing them. It is also used for removing the nuts and bolts and also serves a variety of uses.

It is typically made of steel and has a handle and a shaft which ends as a tip.

In the context, the length of the screw driver from the given figure expressed to the nearest tenth of a centimeter is 17.1 cm.

It is also equivalent to $6\frac{3}{4}$ inch.

8 0

2 years ago

13 = 5 + 3b - 13<br><br> show work explained

IrinaVladis [17]

$13 = 5 + 3b - 13\\
3b=21\\
b=7$

8 0

2 years ago