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4 years ago

A 10-sided polygon has 4 sides each of

Mathematics

1 answer:

Mademuasel [1]4 years ago

4 0

Answer:

Step-by-step explanation:

Givens

4 sides = 4*p

3 sides = 3(4p) = 12p

Other sides

Total length = 138 inches

Equation

4p + 12p + 10 + 12 + 4 = 138

Solution

Collect like terms

16p + 26 = 138

Subtract 26 from both sides

16p + 26 - 26 = 138 - 26

16p = 112

Divide by 16

16p/16 = 112/16

p = 7

Longest Side (Answer)

7 * 4 = 28 inches

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Choose all of the items that represent functions of an operating system.

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Answer: I’m pretty sure it’s A, B, D, and E in other words 1, 2, 4, and 5

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3 years ago

Please help solve for x..

aalyn [17]

Answer:

x = 1 or x = -1

Step-by-step explanation:

Given equation:

$x^{100}-4^x \cdot x^{98}-x^2+4^x=0$

Factor out -1:

$\implies -1(-x^{100}+4^x \cdot x^{98}+x^2-4^x)=0$

Divide both sides by -1:

$\implies -x^{100}+4^x \cdot x^{98}+x^2-4^x=0$

Rearrange the terms:

$\implies 4^x \cdot x^{98}-4^x-x^{100}+x^2=0$

$\textsf{Apply exponent rule} \quad a^{b+c}=a^b \cdot a^c \quad \textsf{to }x^{100}:$

$\implies 4^x \cdot x^{98}-4^x-x^{98}x^2+x^2=0$

Factor the first two terms and the last two terms separately:

$\implies 4^x(x^{98}-1)-x^2(x^{98}-1)=0$

Factor out the common term $(x^{98}-1)$ :

$\implies (4^x-x^2)(x^{98}-1)=0$

Zero Product Property: If a ⋅ b = 0 then either a = 0 or b = 0 (or both).

Using the Zero Product Property, set each factor equal to zero and solve for x (if possible):

$\begin{aligned}x^{98}-1 & = 0 & \quad \textsf{or} \quad \quad4^x-x^2 & = 0 \\x^{98} & =1 & 4^x & = x^2 \\x & = 1, -1 & \textsf{no}& \textsf{ solutions for } x \in \mathbb{R}\end{aligned}$

Therefore, the solutions to the given equation are: x = 1 or x = -1

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2 years ago

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Dmitrij [34]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please answer please please answer need the answer

Korvikt [17]

A = 1/2 bh
A = 1/2 (21)(8)
A = 1/2 (168)
A = 84

5 0

3 years ago

Someone plz help.The temperature started at 35°F. If the temperature went down 4°F and then up 2°F, whats is the temperature dif

timama [110]

Answer:

The temperature difference relative to the high temperature is -2°F.

Step-by-step explanation:

We are given that the temperature started at 35°F. The temperature went down 4°F and then up 2°F.

Firstly, the original temperature = 35°F

Now, it is stated that the temperature went down 4°F, this means that the temperature decreases by this amount.

So, the new temperature = 35°F - 4°F = 31°F

Now, the temperature went up by 2°F, this means that the temperature increases by this amount.

So, the final temperature = 31°F + 2°F = 33°F

Now, the final temperature difference relative to the high temperature is given by = 33°F - 35°F = -2°F.

{Here, the maximum temperature is 35°F}

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3 years ago