Answer:

Step-by-step explanation:
So we have the equation:

Let's let u be equal to x². So:

Factor:

Zero Product Property:

Subtract:

Replace:

Take square root:

Simplify:

The slope of the line passing through (1 , 0) and (3 , 8) is 4.
Slope, commonly represented by the letter m, is a value that describes the steepness and direction of a line. The slope of a line is also called its gradient or rate of change.
It is the vertical change in y divided by the horizontal change in x, sometimes called rise over run. The slope formula uses two points,
and
, to calculate the change in y over the change in x.
where




Substituting the values,

Hence, he slope of the line passing through (1 , 0) and (3 , 8) is 4.
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We know that, in ∆ABC,
∠A+∠B+∠C = 180°
But the triangle is right angled at C
ie., ∠C = 90°
Therefore, ∠A+∠B+ 90° = 180°
⇒ ∠A + ∠B = 90°
Therefore, <u>cos(A + B) = cos 90º = 0</u>
The simplified expression of
is 
<h3>How to simplify the expression?</h3>
The expression is given as:

Divide 162 and 2 by 2

Take the square root of 81

Apply the quotient rule of indices

Evaluate the difference

Take the square root of x^18

Hence, the simplified expression of
is 
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J = 14
J = 1/2S + 4 1/2
14 = 1/2S + 9/2....multiply everything by 2 to get rid of fractions
28 = S + 9
28 - 9 = S
19 = S
check...
14 = 1/2S + 9/2......S = 19
14 = 1/2(19) + 9/2
14 = 9 1/2 + 9/2
14 = 19/2+ 9/2
14 = 28/2
14 = 14 (correct)
so the sister is 19 <===