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Romashka [77]
2 years ago
15

Rewrite the product as a power:

(-a)^{3} b^{3}" alt="(-a)^{3} b^{3}" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
anastassius [24]2 years ago
4 0

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{ - a}^{3} . {b}^{3}  = ( { - a \times b})^{3}  = ( { - ab})^{3}  \\

♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️

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Help explain for brainlist
Lina20 [59]

Answer:

C. 8

Step-by-step explanation:

\because \:  {s}^{3}  = 64 \\ s =  \sqrt[3]{64}  \\ s = 4 \\ side \: of \: cube = 4 \: units \\ when \: side \: is \: halved \\ new \: side \: length =  \frac{4}{2}  = 2 \\  \: new \: volume =  {2}^{3}  = 8 \: cubic \: units

7 0
2 years ago
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In which quadrant is (4,-5) located
Vinvika [58]
4 in (4,-5) implies positive x-axis.
-5 in (4,-5) implies negative y-axis.

Since x is positive and y is negative in fourth quadrant, so the answer is

QUADRANT IV (or 4th quadrant.
3 0
2 years ago
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Whats the difference between 7 7/8 - 3 1/4
faust18 [17]
7 7/8 - 3 1/4

7 7/8 = 6.125

3 1/4 = 0.75

so 6.125 - 0.75

= 5.375

as a  mixed fraction the answer is   5 3/8
4 0
3 years ago
Answer and how to do it
ollegr [7]

Answer:

(x - 9)^2 + y^2 = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

You are given

x^2 + y^2 - 18x + 45 = 0

In order to put the equation in standard from, we need to complete the square. Since there is no y term, the y part is simply y^2, and there is no need to complete the square for y. For x, we do have an x term, so we must complete the square in x.

Start by grouping the x terms and subtracting 45 from both sides.

x^2 - 18x + y^2 = -45

Now we need to complete the square for x.

x^2 - 18x ~~~~~~+ y^2 = -45

The number that completes the square will go in the blank above, and it will also be added to the right side of the equation.

To find the number you need to add to complete the square, take the coefficient of the x term. It is -18. Divide it by 2. You get -9. Now square -9 to get 81. The number that completes the square in x is 81. Now you add it to both sides of the equation.

x^2 - 18x + 81 + y^2 = -45 + 81

(x - 9)^2 + y^2 = 36

Answer: (x - 9)^2 + y^2 = 36

6 0
2 years ago
The 2nd, 6th, 8th terms of an A.P. form a G.P. , find the common ratio and the general term of the G.P.​
melisa1 [442]

The terms of an arithmetic progression, can form consecutive terms of a geometric progression.

  • The common ratio is: \mathbf{r = \frac{a + 5d}{a + d}}
  • The general term of the GP is: \mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}

The nth term of an AP is:

\mathbf{T_n = a + (n - 1)d}

So, the <em>2nd, 6th and 8th terms </em>of the AP are:

\mathbf{T_2 = a + d}

\mathbf{T_6 = a + 5d}

\mathbf{T_8 = a + 7d}

The <em>first, second and third terms </em>of the GP would be:

\mathbf{a_1 = a + d}

\mathbf{a_2 = a + 5d}

\mathbf{a_3 = a + 7d}

The common ratio (r) is calculated as:

\mathbf{r = \frac{a_2}{a_1}}

This gives

\mathbf{r = \frac{a + 5d}{a + d}}

The nth term of a GP is calculated using:

\mathbf{a_n = a_1r^{n-1}}

So, we have:

\mathbf{a_n = (a + d) \times (\frac{a + 5d}{a + d})^{n-1}}

Read more about arithmetic and geometric progressions at:

brainly.com/question/3927222

6 0
2 years ago
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