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stellarik [79]
4 years ago
5

Find the missing length for a right triangle with hypotenuse of 18 and a leg length of 6. Round to the nearest whole number if n

ecessary. (1 point) a) 17 b) 324 c) 19 d) 36
Mathematics
2 answers:
Andreyy894 years ago
6 0
If you want it rounded its 16.97 or 16.9
DiKsa [7]4 years ago
4 0
a^2 + b^2 = c^2

a^2 + 6^2 = 18^2

a^2 + 36 = 324

a^2 = 288

a = \sqrt{288}

a = \sqrt{144 \times 2}

a = 12\sqrt{2}

a \approx 17
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Which equation represents a line that passes through (5, 1) and has a slope of ?
lys-0071 [83]

Answer:

y - 1 = 5(x - 5)

Step-by-step explanation:

Given the following data;

Points (x, y) = (5, 1)

Slope = ?

From the question, the value of the slope is missing. Hence, let's assume a value of 5.

Mathematically, the equation of a straight line is given by the formula;

y = mx + c

Where;

m is the slope.

x and y are the points

c is the intercept.

To find the equation of line, we would use the following formula;

y - y1 = m(x - x1)

Substituting into the formula, we have;

y - 1 = 5(x - 5)

y - 1 = 5x - 25

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5 0
3 years ago
Simplify each exponential expression to the form x^n where n is positive.
vaieri [72.5K]

The expression is:

\sqrt{\frac{x^{3}x^{8}}{x^{6}}}

We will use following steps to simplify it:

Step 1:

Use product property of exponents:

x^{a}*x^{b}=x^{a+b}

x^{3}*x^{8}=x^{8+3}

x^{3}*x^{8}=x^{11}

That gives us the expression:

\sqrt{\frac{x^{11}}{x^{6}}}

Step 2:

Use division property of exponents:

\frac{x^{a}}{x^{b}}=x^{a-b}

\frac{x^{11}}{x^{6}}=x^{11-6}

\frac{x^{11}}{x^{6}}=x^{5}

This simplifies the expression:

\sqrt{x^{5}}

Step 3:

Writing the square root as power 1/2:

\sqrt{x^{5}}=x^{5*\frac{1}{2} }

\sqrt{x^{5}}=x^{\frac{5}{2} }

Answer:

The final simplified form in x^n form is :

x^{\frac{5}{2} }


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4 years ago
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Answer:

i think its either a or b

Step-by-step explanation:

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