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ozzi
3 years ago
11

The expression (27y^-2)^1/3 / y^-2/3 can be simplified and written without negative exponents as

Mathematics
1 answer:
Phoenix [80]3 years ago
4 0

Answer:

3

Step-by-step explanation:

\displaystyle\tt \frac{(27y^{-2})^{\frac{1}{3}}}{y^{-\frac{2}{3}}}=\frac{(3^3\cdot y^{-2})^{\frac{1}{3}}}{y^{-\frac{2}{3}}}=\frac{3\cdot y^{-\frac{2}{3}}}{y^{-\frac{2}{3}}}=3

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Enlarge the triangle by scale factor of -1/3
Bess [88]

The attached image represents the triangle after it has been enlarged

<h3>How to enlarge the triangle?</h3>

The given parameters are:

  • Scale factor, k = -1/3
  • Center, (a,b) = (-1,2)

From the graph, the coordinates of the triangle are:

A = (-4,2)

B = (-4,-4)

C = (-1,-4)

The rule of dilation is calculated using:

(x,y) \to (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (-\frac 13(-4 +1) - 1, -\frac 13(2 - 2) + 2)

A' = (0, 2)

B' = (-\frac 13(-4 +1) - 1, -\frac 13(-4 - 2) + 2)

B' = (0, 4)

C' = (-\frac 13(-1 +1) - 1, -\frac 13(-4 - 2) + 2)

C' = (-1, 4)

See attachment for the image of the triangle, after it has been enlarged

Read more about dilation at:

brainly.com/question/3457976

#SPJ1

4 0
2 years ago
What is the slope of <br> y = -x+7
hichkok12 [17]

Answer: -1

Step-by-step explanation:

The equation is given in slope-intercept form. Slope-intercept form is y=mx+b, where m is slope, and b is y-intercept. Since m is slope, we know that it is -1.

7 0
3 years ago
Perform the operation.<br> (8x2 – 7x – 2) – (6x2 – x + 3)
rewona [7]

Answer:

2 x² - 6x -5

Step-by-step explanation:

<u><em>Expansion:-</em></u>

Given that the expression

                    (8x²-7x-2)-(6x²-x+3)

                = 8x² - 6x² - 7x +x -2 -3

               = 2 x² - 6x -5

5 0
3 years ago
HELP ASAP QUESTION IN PIC WILL GIVE BRAINLIEST
tangare [24]

Answer:

x=17

Step-by-step explanation:

Since these angles are supplementary, they will add up to 180 degrees, so you can set up the equation like this:

4x+8+104=180

First, combine like terms:

4x+(8+104)=180

4x+112=180

Next, subtract 112 from both sides:

4x+112(-112)=180(-112)

4x=68

Then, divide each side by 4:

4x(/4)=68(/4)

x=17

17 is your answer.

3 0
3 years ago
If h(x)=4x^2-16 we’re shifted 7 units to the right and 3 units down what would the new equation be
attashe74 [19]

Answer:

4(x-7)^2 - 19

Step-by-step explanation:

Shifting 7 units to the right:  4(x-7)^2 - 16.

3 units down:                         4(x-7)^2 - 16 - 3, or    4(x-7)^2 - 19

6 0
3 years ago
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