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4 years ago

Find the length of KB¯¯¯¯¯¯¯¯+AK¯¯¯¯¯¯¯¯. A. 28 B. 33 C. 21 D. 35

Mathematics

1 answer:

Usimov [2.4K]4 years ago

8 0

Intersecting chord rule:

DK x KB = AK x CK

12 x 4x+1 = 14 x 3+3x

Simplify:

48x +12 = 42x +42

Subtract 12 from each side:

48x = 42x + 30

Subtract 42x from each side:

6x = 30

Divide both sides by 6:

x = 5

Now find the length of KB: 4x +1 = 4(5) +1 = 20 +1 = 21

Now add KB and AK:

21 + 14 = 35

The answer is D. 35

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Read 2 more answers

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Step-by-step explanation:

Formula Used

By distance formula,

d (A,B)=√[(x₁ - x₂)² + (y₁ - y₂)²]

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2 years ago

What is the slope of the line through (2,−2)(2,-2)(2,−2)left parenthesis, 2, comma, minus, 2, right parenthesis and (9,3)(9,3)(9

Musya8 [376]

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Step-by-step explanation:

Given two points are:

(x1,y1) = (2,-2)

(x2,y2) = (9,3)

The slope is defined as the steepness of a line.

When two points are known, through which the line passes,

The slope is given by:

$m = \frac{y_2-y_1}{x_2-x_1}$

Putting the values

$m = \frac{3-(-2)}{9-2}\\m = \frac{3+2}{7}\\m = \frac{5}{7}$

Hence,

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Keywords: Slope, Equation of line

Learn more about slope at:

#LearnwithBrainly

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