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VLD [36.1K]
3 years ago
6

Please help solve! I tried but I’m messing this up, would really appreciate it!

Mathematics
1 answer:
STALIN [3.7K]3 years ago
7 0

Answer:

<em>K = </em>\frac{4r}{n} -a<em> n </em>\neq 0<em />

Step-by-step explanation:

We have our equation r = \frac{n}{4} (a+K) and are looking for K

First we have to switch sides :

\frac{n}{4} (a+K) = r

Since we have a denominator of 4, we multiply both sides by 4 :

n (a+K) = 4r

We then divide both sides by n :

a+K = \frac{4r}{n} ; n\neq 0

Subtract a from both sides :

K = \frac{4r}{n} -a; n\neq 0

^^^

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Answer:

Statement 1, 2 and 4 are true where as statement 3 is not true.

Step-by-step explanation:

<u>Statement 1: The y-intercept is -1</u>

<em>Point (3/8, 1/2)</em>

<em>Slope = m = 4</em>

<em>y = mx + c</em>

<em>1/2 = 4(3/8) + c</em>

<em>1/2 = 3/2 + c</em>

<em>1/2 = 3/2 + 2c/2</em>

<em>-2 = 2c</em>

<em>c = -1 </em>

This statement is true as the y-intercept is -1.

<u>Statement 2: The slope intercept equation is y= 4x - 1</u>

<em>slope = m = 4</em>

<em>y-intercept = c = -1</em>

<em>y = mx + c</em>

<em>y = 4x - 1</em>

This statement is true as the slope intercept equation is y= 4x -1

<u>Statement 3: The point slope equation is y - 3/8 = 4 (x - 1/2)</u>

<em>Point slope equation: y - y1 = m (x - x1)</em>

<em>Points: (x, y) (3/8, 1/2)</em>

<em>y1 = 1/2</em>

<em>x1 = 3/8</em>

<em>Slope = m = 4</em>

<em>y - 1/2 = 4 (x - 3/8)</em>

This statement is not true as the slope intercept equation is y - 1/2 = 4 (x - 3/8) instead of y - 3/8 = 4 (x - 1/2).

<u>Statement 4: The point (3/8, 1/2) corresponds to (x1, y1) in the point slope form of the equation</u>

This statement is true as shown in statement 3's explanation where x1 = 3/8 and y1 = 1/2

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Answer:

m∠MON = 15°

Step-by-step explanation:

The given parameters are;

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By angle addition postulate, we have;

m∠LON = m∠LOM + m∠MON

Therefore, by substituting the known values, we have;

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