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larisa86 [58]
3 years ago
10

If I got some of my answers right would you tell me but if not would you tell me what it would be. It's about polygons

Mathematics
1 answer:
Ksju [112]3 years ago
3 0
Ill help what do you need me to do 


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Simplify the following expressions using the properties of exponents.<br> Please show your work.
Rus_ich [418]

Answer:

{a}^{0}  = 1 \\  {a}^{1}  \times  {a}^{4}  =  {a}^{4 + 1}  =  {a}^{5}   \\  {4}^{2}  = 16\\  \\  =  \frac{2}{4 \times  {4}^{2}  \times  {a}^{5} }  \\  =  \frac{1}{32 {a}^{5} }

8 0
2 years ago
A rectangular pool is 20 feet wide and 50 feet long. A deck used for sunning surrounds the pool. The deck is the same width all
rodikova [14]

Answer:

  3 feet

Step-by-step explanation:

Let x represent the width of the deck. The deck adds to the pool dimensions on both sides, so the area of the site including pool and deck will be ...

  A = (20 +2x)(50 +2x) = 1000 +140x +4x^2

The area of the pool alone is

  A = (20)(50) = 1000

So, the area of the deck is the difference:

  456 = (4x^2 +140x +1000) -(1000)

Dividing by 4 and subtracting 114, we have ...

  x^2 +35x -114 = 0

  (x -3)(x +38) = 0

Solutions to this are x = 3 and x = -38. The positive solution is the one of interest.

The deck is 3 feet wide.

4 0
2 years ago
I am doing a project in my math class where we create a picture with functions and needed an egg curve. I finally figured out th
matrenka [14]

<span>Let's solve this problem step by step.</span><span>

In Figure 1 you have the graph of this equation. In fact, it is an egg curve as you can see, the question is asking for shifting the curve vertically and horizontally, so what you need to do is the following:

First. Shifting the curve horizontally (to the left).<span>

</span>Suppose you want to get the curve when the center of the egg matches with the origin of the Cartesian plane, so you need to shift the curve to the left. To do this add 40 units to the x-coordinate, so:
<span>
</span>[(x+40)^2+y^2]^2=80(x+40)^3+9(x+40)y^2
<span>
</span>This shift is shown in Figure 2

Second. Shifting the curve horizontally (to the right).<span>

</span>Suppose you want to shift the curve 40 units to the right, then you need to subtract 40 units from the x-coordinate like this:
<span>
</span>[(x-40)^2+y^2]^2=80(x-40)^3+9(x-40)y^2
<span>
</span>This shift is shown in Figure 3

Third. Shifting the curve vertically (upward)<span>

</span>Suppose you want to shift the curve 40 units upward, then you need to subtract 40 units from the y-coordinate like this:
<span>
</span>[x^2+(y-40)^2]^2=80x^3+9x(y-40)^2
<span>
</span>This shift is shown in Figure 4

Fourth. Shifting the curve vertically (downward)<span>

</span>Suppose you want to shift the curve 40 units downward, then you need to add 40 units to the y-coordinate like this:
<span>
</span>[x^2+(y+40)^2]^2=80x^3+9x(y+40)^2
<span>
</span>This shift is shown in Figure 5</span>

8 0
3 years ago
Which graph represents the polynomial function g(x) = x3 + x2 – 17x + 15?
denis-greek [22]

Answer:

(x+3)⋅(x+1)⋅(x−5)

Step-by-step explanation:

4 0
3 years ago
Evaluate: 100−20.2×4.5.<br> i need this for imagen math
Ilya [14]

Answer:

359.1

Step-by-step explanation:

100 - 20.2 is 79.8

79.8 x 4.5 is 359.1

therefore it is 359.1

3 0
2 years ago
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