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Alja [10]
3 years ago
13

Simplify the expression x8 y-26/x14 y-5 X x-39 y-21.

Mathematics
1 answer:
KonstantinChe [14]3 years ago
8 0
\frac{x^8y^{-26}}{x^{14}y^{-5}}[x^{-36}y^{-21}]

We will apply these following power rule

x^m*x^n = x^{m+n}
x^m/x^n=x^{m-n}

[ \frac{x^8}{x^{14}}][ \frac{y^{-26}}{y^{-5}}][x^{-39}y^{-21}]
[x^{8-14}][y^{-26-5}][x^{-39}y^{-21}]
x^{-6}y^{-21}[x^{-39}y^{-21}]
[x^{-6-39}][y^{-21-21}]
x^{-45}y^{-42}
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When G(2,-6) is reflected in the line y = -2, the image is located at G |
Mkey [24]

Answer:

The point (2, -6) is four below the line y= -2

The reflection will be four below the line y=-2.

Since y=-2 is a horizontal line, the reflection will be vertical,

so (2,-6) will reflect down 6 spaces vertically. -6 + (4*2) = (-6 + 8) =  2  therefore when we establish 4 below the line we just apply * 2 as a double as its across the line each side of the line to find that below the line = 4 = 4*2 and add it to -6

 

(2,-6) reflected over y=-2 reflects to (2, 2 )

Step-by-step explanation:

4 0
3 years ago
PLEASE ANSWER THIS ASAP!!!!!!!!!!!!!!!!!!​
stira [4]

Answer:

c = 3d

Step-by-step explanation:

answer

c = 3d

Double check:

if d = 2, c = 3 x 2 = 6

if d = 3, c = 3 x 3 = 9

if d = 5, c = 3 x 5 = 15

if d = 6, c = 3 x 6 = 18

5 0
3 years ago
Read 2 more answers
An open box with a square base is to have a volume of 4000in3. Find the length of the side of the square base that would result
Elina [12.6K]

Answer:

I did this quickly and don't have the time to check.  Please review carefully.

Length of the side of a square base to provide a volume of 4000 in^3 with the minimum material to construct the entire box. is 6 in.  The dimensions for this box would be (6 in) by (6 in) by 111.1 in.

Step-by-step explanation:

The volume of a square box is given by

Volume(V) = L*W*H,

where L is length, W is width, and H is height.

Since the base is square, W = L, so we can rewrite the volume equation as:

V = L*W*H

V = L*L*H

Volume = L^2H

The area of the box surface is the sum of all the sides:

Top and Bottom:    2*(L*W), or 2 (W^2)

2 Sides:                  2*(W*H), or 2(W^2)

2 other sides:        2*(L*H)  

The total surface area is

  Area = 2*(L*W) + 2*(W*H) +  2*(L*H)

Since W=L, we can rewrite this equation as:

  Area = 2*(L*L) + 2*(L*H) +  2*(L*H)

<u>Total Surface Area = 2L^2 + 4LH</u>

The target volume is 4000 in^3

We know that Volume = L^2H from above.

4000 in^3 = L^2H

we can rewrite this as:

H = 4000/L^2

Substitute this value of H into <u>Total Surface Area = 2L^2 + 4LH</u>

Total Surface Area = 2L^2 + 4L(4000/L^2)

Total Surface Area = 2L^2 + (1000/L)

We want to minimize total surface are, so we can either plot this function and look for the minimum, or we can take the first derivative and set it equal to zero (the first derivative tells us the slope of the line at any point.  We want the point where the slope is zero, where it changes direction).  I will plot the function.

<u>Plot: </u> See attached graph.

I set the above equation to the format:  y = 2x^2 + (1000/x), where y is the total surface area and x is the box length.

I see a minimum at (6.2,230).  This corresponds to a box length of 6.2 in and a surface area of 230 in^2.

7 0
2 years ago
5A. What is the value of 47 × 12 + 12 × 53 + 53 × 8 + 8 × 47?
DENIUS [597]

Answer:

The answer to this is 2000.

Step-by-step explanation:

I hope it helps! :)

8 0
3 years ago
Read 2 more answers
What is the slope of the line that passes through the points (-8,-1) and (-6,-2)
LuckyWell [14K]

Answer:

-1/2

Step-by-step explanation:

You would do m which represents slope. So m = y2 - y1/x2-x1. I then plugged the points in and got -1/2. Did this help???

8 0
3 years ago
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