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My name is Ann [436]
2 years ago
5

Please hepl with math

Mathematics
1 answer:
Ivenika [448]2 years ago
6 0

Answer:

\dfrac{5^{n+2}-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n+1}} = -\dfrac{5}{3}

Step-by-step explanation:

We are given the expression to be simplified:

\dfrac{5^{n+2}-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n+1}}

Let us take common a term with a power of 5 from the numerator and the denominator of the given expression.

We know that:

a^{p+q} = a^p \times a^q

Let us use it to solve the powers of 5 in the given expression.

\therefore we can write:

5^{n+2} = 5^{n+1}\times 5= 5^n\times 5^{2}

5^{n+1} = 5^n\times 5

The given expression becomes:

\dfrac{5^{n+1} \times 5-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n}\times 5}

Taking common 5^{n+1} from the numerator and

Taking common 5^{n} from the denominator

\Rightarrow \dfrac{5^{n+1} (5-6)} {5^{n}(13-2\times5)}\\\Rightarrow \dfrac{5^{n+1} (-1)} {5^{n}(13-10)}\\\Rightarrow -\dfrac{5^{n+1}} {5^{n}\times3}\\\Rightarrow -\dfrac{5^{n}\times 5} {5^{n}\times3}\\\Rightarrow -\dfrac{5}{3}

\therefore The answer is:

\dfrac{5^{n+2}-6\times 5^{n+1}}{13 \times5^{n}-2\times5^{n+1}} = -\dfrac{5}{3}

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If y = 2x2 – 4x, what is the value of y when x equals 5. <br> A.10 <br> B.30 <br> C.80 <br> D.480
Ainat [17]

Answer:

The value of y in the given equation is B. 30.

Step-by-step explanation:

y = 2x² - 4x             x = 5

y = 2(5)² - 4(5)        Plug 5 in for x

y = 2(25) - 20         Square 5 and multiply 4 by 5

y = 50 - 20             Multiply 2 by 25

y = 30

Hope this helps,

❤<em>A.W.E.</em><u><em>S.W.A.N.</em></u>❤

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ABQ and CDQ are congruent triangles. That means their angle measures are the same but their lengths may be proportional.

19.2 / 32 = 0.6

15 * 0.6 = 9

So the length of side BD is 9 units.

4 0
3 years ago
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3 years ago
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