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givi [52]
3 years ago
15

Factorise (2x-2)^3+(2-3y)^3+(3y-2x)^3 ^3 is the power

Mathematics
2 answers:
LuckyWell [14K]3 years ago
6 0
The answer is ^3 I hope this helps
kari74 [83]3 years ago
5 0

Answer: ^3

Step-by-step explanation:

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22 POINTS
Harlamova29_29 [7]

Answer:

C. 2, -2, -6

Step-by-step explanation:

18, 14, 10, 6, ?

18 - 4 = 14

14 - 4 = 10

10 - 4 = 6

6 - 4 = 2

2 - 4 = -2

-2 - 4 = -6

They are subtracting each number by 4 to get the next one that continues.

Hope this helped!

Have a supercalifraglisticexpialidocious day!

7 0
2 years ago
Read 2 more answers
A candle maker adds lemon oil to wax to make the lemon-scented candle shown. How many ounces of oil will he need for the candle
liraira [26]

Answer:

The ounces of oil needed is 5 ounces of oil

Step-by-step explanation:

The first thing to do here is to calculate the volume of the lemon-scented candle given.

Looking at shape the volume can be calculated using the formula L * B * H

where L(length) = 10cm , B(breadth) = 8cm and Height(h) = 25cm

The volume V is thus = 10 * 8 * 25 = 2,000 cm^3

The ounces of oil needed for the candle to have 0.0025 ounces of oil per cm^3 of wax will be = The volume of the lemon-scented candle * 0.0025 ounces of oil per cm^3 of wax

That will be = 0.0025 * 2,000 = 5 ounces

3 0
3 years ago
57.42
Fofino [41]

Hi there!

\large\boxed{a = 6 m/s^{2}}

Use the kinematic equation to solve for acceleration:

a = \frac{v_{f}-v_{i}}{t}

Where:

vf = final velocity

vi = initial velocity

t = time

Plug in the given values:

a = \frac{65-35}{5}\\\\a = 30 / 5  \\\\=6 m/s^{2}

7 0
3 years ago
Y = 3 sin2x, y = 0, 0 ≤ x ≤ π; about the x−axis
Dominik [7]
I assume you're revolving the region with those bounds about the x-axis, and supposed to find the volume.

Via the disk method,

\displaystyle\pi\int_0^\pi(3\sin2x)^2\,\mathrm dx=9\pi\int_0^\pi\sin^22x\,\mathrm dx

Recall the half-angle identity for sine:

\sin^2t=\dfrac{1-\cos2t}2
\implies\displaystyle\frac{9\pi}2\int_0^\pi(1-\cos4x)\,\mathrm dx
=\displaystyle\frac{9\pi}2\left(x-\frac14\sin4x\right)\bigg|_{x=0}^{x=\pi}
=\dfrac{9\pi^2}2
8 0
3 years ago
The difference between two positive integers is 7 and the sum of their squares is 949. What are the numbers?
Darina [25.2K]

Answer:

25 and 18

Step-by-step explanation:

Let's say that the first number is x and the second one is y.

First, the difference between them is 7, so x-y=7

Next, the sum of their squares is 949, so x²+y² = 949

We have

x-y=7

x²+y²=949

One thing we can do to solve this problem is to solve for x in the first equation, plug that into the second equation, and go from there

Adding y to both sides in the first equation, we have

x = 7 + y

Plugging that into the second equation for x, we have

(7+y)²+ y² = 949

expand

(7+y)(7+y) + y² = 949

49 + y² + 7y + 7y + y² = 949

combine like terms

2y² +14y + 49 = 949

subtract 949 from both sides to put this in the form of a quadratic equation

2y² + 14y - 900 = 0

divide both sides by 2

y² + 7y - 450 = 0

To factor this, we want to find 2 numbers that add up to 7 and multiply to -450.

The factors of 450 are as follows:

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, and 450.

Note that we want to find two numbers with a difference of 7, as one will have to be negative for the multiplication to end up at -450. Two numbers that stand out are 18 and 25. To make them add up to 7, 18 can be negative. We therefore have

y² + 25y - 18y - 450 = 0

y(y+25) - 18(y+25) = 0

(y-18)(y+25) = 0

Solving for 0,

y-18 = 0

add 18 to both sides

y=18

y+25 = 0

subtract 25 from both sides

y= -25

As the question states "two positive integers", this means that y must be positive, so y = 18. We know x-y=7, so

x-18 = 7

add 18 to both sides to isolate x

x = 25

7 0
2 years ago
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