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3 years ago

Find the measure of KL.

Mathematics

1 answer:

andreev551 [17]3 years ago

3 0

Answer:

KL = 7

Step-by-step explanation:

Given 2 secants from an external point to the circle, then

The product of the measures of one secants external part and the entire secant is equal to the product of the other secant's external part and the entire secant, that is

MN(MN + NC) = ML(ML + LK), that is

8(8 + 10x) = 9(9 + 7x) ← distribute both sides

64 + 80x = 81 + 63x ( subtract 63x from both sides )

17x + 64 = 81 ( subtract 64 from both sides )

17x = 17 ( divide both sides by 17 )

x = 1

Hence

KL = 7x = 7 × 1 = 7

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Find the slope and y-intercept for the two linear functions.

tankabanditka [31]

Answer: Slope of the line given in the table: m = - 0.25

Y-intercept of the line given in the table: b = -4

Slope of the line given by the equation: m = 1.5

Y-intercept of the line given by the equation: b = 1

Step-by-step explanation: Slope of an equation is an indication of the steepness and direction of a linear graph. It is denoted as m and it can be calculated as:

m = $\frac{y_{2} - y_{1} }{x_{2} - x_{1} }$

Another way of determining the slope is as the form:

y = mx+b

For the table:

As in the table there are only points:

m = $\frac{-3 + 2.5}{-4+6}$

m = - 0.25

For the function:

The function is:

y = 3/2x + 1

m = 3/2

m = 1.5

Y-intercept is where the linear function crosses the y-axis, or when x=0. It can also be represented by the letter b.

For the table:

y = mx + b

According to the table, when y = -2.5, x = -6

-2.5 = - 0.25. (-6) + b

b = -2.5 - 1.5

b = -4

For the function:

y = 1.5x + 1

b = 1

In conclusion:

For the table: m = - 0.25 b = - 4
For the equation: m = 1.5 b = 1

8 0

4 years ago

Read 2 more answers

Can you help me find out weather 6, 36,and 48 are a factor multiple or neither of 24.

nlexa [21]

Factors are the multiplier and the multiplicand in the mathematical operation called multiplication.

Multiple is the any number multiplied by any integer.

Factors of 24:
1, 2, 3, 4, 6, 8, 12, 24

Multiples of 24:
24, 48, 72, 96, 120, so on.

6 is a factor of 24.
36 is neither a factor nor a multiple of 24.
48 is a multiple of 24.

5 0

3 years ago

What value for c will make the expression a perfect square trinomial? x2 – 7x + c

zysi [14]

I assume the first part of that equation is x^2. -7/2= 3.5 ; 3.5^2=12.25 sooo it should end up as x^2-7x + 12.25. but I might be wrong.

8 0

3 years ago

Read 2 more answers

Which ordered pair is a solution of this equation? -6x + y = 35 Click on the correct answer. (-1,-7 (-6,-1) (-1,-6) (-7,-1)

nikklg [1K]

Answer:

The ordered pair (-6, -1) is the only solution.

Step-by-step explanation:

-6x + y = 35

Let's plug in the points.

(-1, -7) --> -6(-1) - 7 = 6 - 7 = -1 which does not equal 35

(-6, -1) --> -6(-6) -1 = 35

(-1, -6) --> -6(-1) - 6 = 0 which does not equal 35

(-7, -1) --> -6(-7) - 1 = 41 which does not equal 35

8 0

3 years ago

How Can I Figure Out This Equation?

vovikov84 [41]

m = -2

Let’s check our work:

12 + -2 = 10

The correct answer is -2

Hope this helps!

6 0

3 years ago

Find the measure of KL.​

Find the measure of KL.