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3 years ago

What is the first step that you have to do in order to solve the proportion: ? 8.5 26y = 3 y = 3(26) 3(y) = 1(26)

Mathematics

1 answer:

leva [86]3 years ago

8 0

Answer:

$3(y)=1(26)$

Step-by-step explanation:

Please consider the complete question.

What is the first step that you have to do in order to solve the proportion: one-third equals the fraction y over 26?

We can represent our given information in an equation as:

$\frac{1}{3}=\frac{y}{26}$

To solve our given equation, we need to cross multiply our equation as:

$3(y)=1(26)$

Therefore, the 1st step to solve the equation would be $3(y)=1(26)$ .

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What is the sum?

BaLLatris [955]

4(x + 6)
4 × x = 4x
4 × 6 = 24

3(3x + 4)
3 × 3x = 9x
3 × 4 = 12

9x + 4x = 13x
12 + 24 = 36

So your answer is B) 13x + 36. I hope this helps!

4 0

3 years ago

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Prove that for any natural n the number 3^(n+4)−3^n is divisible by 16.

gtnhenbr [62]

Answer:

Proved (See Explanation)

Step-by-step explanation:

Show that 3ⁿ⁺⁴ - 3ⁿ is divisible by 16.

This is done as follows

$\frac{3^{n+4} - 3^n}{16}$

From laws of indices;

aᵐ⁺ⁿ = aᵐ * aⁿ.

So, 3ⁿ⁺⁴ can be written as 3ⁿ * 3⁴.

$\frac{3^{n+4} - 3^n}{16}$ becomes

$\frac{3^n * 3^4 - 3^n}{16}$

Factorize

$\frac{3^n(3^4 - 1)}{16}$

$\frac{3^n(81 - 1)}{16}$

$\frac{3^n(80)}{16}$

3ⁿ * 5

5(3ⁿ)

<em>The expression can not be further simplified.</em>

<em>However, we can conclude that when 3ⁿ⁺⁴ - 3ⁿ is divisible by 16, because 5(3ⁿ) is a natural whole number as long as n is a natural whole number.</em>

3 0

3 years ago

How do i prove 2sec^2x-2sec^2xsin^2-sin^2x-cos^2x=1

kramer

$2\sec^2x-2\sec^2x\sin^2x-\sin^2x-\cos^2x=2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)$

Since $\sin^2x+\cos^2x=1$ , you have

$2\sec^2x(1-\sin^2x)-(\sin^2x+\cos^2x)=2\sec^2x\cos^2x-1$

and since $\sec x=\dfrac1{\cos x}$ , you end up with $2-1=1$ .

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3 years ago

Which statement best describes how to verify the Pythagorean Theorem using this drawing?

iogann1982 [59]

Answer:

Step-by-step explanation:

A squared plus B squared equals C squared

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3 years ago

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PLEASE HELP FASTTT!!!

nirvana33 [79]

Answer:

5 seconds

Step-by-step explanation:

Looking at your function (h(t) = -16t^2 + 48t + 160), I see that the peak height will be 196 feet, and that is achieved in 1.5 seconds.

h(1.5) = -16(1.5)^2 + 48(1.5) + 160

h(1.5) = -16(2.25)+ 48(1.5) + 160

h(1.5) = -36 + 48(1.5) + 160

h(1.5) = -36 + 72 + 160

h(1.5) = 36 + 160

h(1.5) = 196

Going down from that height, it would take 3.5 more seconds, so it would take 5 seconds in total

h(5) = -16(5)^2 + 48(5) + 160

h(5) = -16(25) + 48(5) + 160

h(5) = -400 + 48(5) + 160

h(5) = -400 + 240 + 160

h(5) = -400 + 400

h(5) = 0

8 0

3 years ago