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3 years ago

Find X using the image.

Mathematics

1 answer:

Temka [501]3 years ago

7 0

9514 1404 393

Answer:

x = 2

Step-by-step explanation:

The square of the tangent is equal to the product of the secant lengths to the near and far circle intersections.

(x +4)² = (2x -1)(2x -1 +9)

0 = (2x -1)(2x +8) -(x +4)² = (4x² +14x -8) -(x² +8x +16)

0 = 3x² +6x -24 = 3(x² +2x -8) = 3(x +4)(x -2)

This has solutions x = -4 and x = 2. Only the latter works in this geometry.

x = 2

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Step-by-step explanation:

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2 years ago

Jason had 2 dices what is the probabilty that it will land on 6 on all the dices

Sunny_sXe [5.5K]

There is a 1/3 chance both will land on 6.

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2 years ago

What is the system of inequalities associated with the following graph?

slamgirl [31]

One line passes through the points (-2,3) and (0,-3) , it means the y intercept is b=-3

and slope m = $\frac{(-3-3)}{0-(-2)}$

$= \frac{-6}{2}= -3$

So the equation of line will be $y= -3x -3$

And the inequality should be $y\geq -3x-3$

Or $3x +y \geq -3$

And the other line passes through (-2,3) and (0,2)

So the y intercept is b=2

and the slope is $m= \frac{2-3}{0-(-2)} = \frac{-1}{2}$

So the equation of line will be $y= \frac{-1}{2} x +2\\and the inequality should be y \leq \frac{-1}{2} x+2$

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So answer is $3x +y \geq -3, x+2y\leq 4$

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3 years ago

Read 2 more answers

A professional organization sells term life insurance and major medical insurance. Of those who have just life insurance, 60% wi

kherson [118]

Answer:

The answer is "0.765 and 0.2353".

Step-by-step explanation:

Please find the complete question in the attached file.

In point a:

P(a substantive term only) $=0.75-0.2 =0.55$

P(major health insurance only) $= 0.45-0.20=0.25$

P(both) $= 0.20$

P(renewal) =P(insurance and renewal term only)+P (substantial and renewable health insurance only)+P (both and renew)

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In point b:

In reality, the probability of having both life and major medical insurance provided the policyholder would renew next year

$= \frac{\text{P(both and renew)}}{\text{P(renew)}}$

$=\frac{0.2\times 0.9}{0.765}\\\\=0.2353$

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3 years ago

Write the prime factorization of 18. Use exponents when appropriate and order the factors from least to greatest (for example,

Vsevolod [243]

Prime factorization is when the numbers are divided until they cannot be divided anymore.

For example, the number 18.

18/2 = 9

9/3 = 3

So the prime factorization is 2,3,3

As it says use exponents: There are 2 threes. 3 x 3 is the same as 3²

3² x 2 should be your answer

hope this helps

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3 years ago