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2 years ago

7

Need with number 7!

1 answer:

topjm [15]2 years ago

7 0

Answer: 6

SOLUTION

∵segment $\frac{}{AB}$ is tangent to the circle at point C.

∴∠MCA=∠MCB=90°

Suppose $\frac{}{MC} =x$

From the Pythagorean theorem

MA²=9²+ $x$ ²

MB²=4²+ $x$ ²

∴MA²+MB²=AB²

i.e. $x^{2} +9^{2} +4^{2} +x^{2} =(9+4)^{2} \\2x^{2} +97=169\\2x^{2} =72\\x^{2} =36\\x=6$

We conclude that $x=6=\frac{}{MC}$

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Step-by-step explanation:

Given

See attachment for complete question

Required

Match equivalent expressions

Solving (a):

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$256 \to 4 * 8^2$ --- 2

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$Term \to 4 * 8^n$ ---- n

So, the summation is:

$4 + 32 + 256 + 2048 + 16384 = \sum\limits^4_{n=0} 4 * 8^n$

Solving (c):

$2 + 6 + 18 + 54 + 162$

The expression can be written as:

$2 \to 2 * 3^0$ --- 0

$6 \to 2 * 3^1$ ---- 1

$18 \to 2 * 3^2$ --- 2

$54 \to 2 * 3^3$ ---- 3

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$Term \to 2 * 3^n$ ---- n

So, the summation is:

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The expression can be written as:

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$75 \to 3 * 5^2$ --- 2

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$Term \to 3 * 5^n$ ---- n

So, the summation is:

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