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Schach [20]
3 years ago
13

How do you describe the sum of two rays for geometry?

Mathematics
1 answer:
Ray Of Light [21]3 years ago
3 0
To find the sum of an infinite geometric series having ratios with an absolute value less than one, use the formula, S=a11−r, where a1 is the first term and r is the common ratio.
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Find P(5)-p(3) if P(2x)+P(4x)+P(6x)=24x-6
professor190 [17]

Answer:

P(5) - P(3) = 4

Step-by-step explanation:

<em>Lets explain how to solve the problem</em>

Assume that P(x) is a linear function, that because the sum of P(2x),

P(4x), and P(6x) is linear ⇒ (24x - 6 is linear)

∵ The form of the linear function is y = ax + b

∴ P(x) = ax + b

Substitute x by 2x

∵ P(2x) = a(2x) + b

∴ P(2x) = 2ax + b

Substitute x by 4x

∵ P(4x) = a(4x) + b

∴ P(4x) = 4ax + b

Substitute x by 6x

∵ P(6x) = a(6x) + b

∴ P(6x) = 6ax + b

Add the three functions

∴ P(2x) + P(4x) + P(6x) = 2ax + b + 4ax + b + 6ax + b

Add like terms

∴ P(2x) + P(4x) + P(6x) = 12ax + 3b ⇒ (1)

∵ P(2x) + P(4x) + P(6x) = 24x - 6 ⇒ (2)

Equate (1) and (2)

∴ 12ax + 3b = 24x - 6

By comparing the two sides

∴ 12a = 24 and 3b = -6

∵ 12a = 24

Divide both sides by 12

∴ a = 2

∵ 3b = -6

Divide both sides by 3

∴ b = -2

Substitute these values in P(x)

∵ P(x) = ax + b

∴ P(x) = 2x + (-2)

∴ P(x) = 2x - 2

Now we can find P(5) - P(3)

∵ P(5) = 2(5) - 2 = 10 - 2 = 8

∵ P(3) = 2(3) - 2 = 6 - 2 = 4

∴ P(5) - P(3) = 8 - 4 = 4

* P(5) - P(3) = 4

5 0
4 years ago
What is the absolute value of -7 minus 3
otez555 [7]

4 i believe

hope it helps!


8 0
3 years ago
Read 2 more answers
What is the answer???<br> How can we solve it?
GenaCL600 [577]
Okay, so it's pretty easy.
Do 11*11=121

times that by 1/2

so 60.5
v=60.5(6)
now times that by 6
v=363
4 0
3 years ago
Read 2 more answers
Divide. –36 ÷ (–4) <br> a. –40 <br> b. –32 <br> c. –9 <br> d. 9
tekilochka [14]
The answer to this question would be d:) 9.
6 0
3 years ago
Angelo drew a scale model of the flagpole at school. If the actual pole is 15 feet tall, and his drawing is 10 inches tall, what
Darya [45]

Answer: \frac{2}{3}

Step-by-step explanation:

Given

Angelo drew a model with his drawing length 10 inches tall

The actual pole length is 15 feet tall

drawing scale is the ratio of drawing length to the actual length i.e.

\Rightarrow \text{Scale used l=}\dfrac{10}{15}\\\\\Rightarrow l=\dfrac{2}{3}

5 0
3 years ago
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