All categories

4 years ago

AO = 5 AB = 12 Find x

Mathematics

1 answer:

viktelen [127]4 years ago

4 0

Angle OAB is a right angle, since line AB is tangent to the circle at A. Thus, triangle AOB is a right triangle.

Applying the Pythagorean Theorem: 5^2 + 12^2 = |OB|^2

Then |OB|^2 = 13^2, and |OB| = 13.

We find x by subtracting |OC| from 13: 13 - 5 = 8.

Line segment has length 8; x = 8.

You might be interested in

shirts are 25% off. the original price of one shirt is $12. what is the total cost, in dollars of a shirt at the sale price, inc

Natalka [10]

Answer:

$9.45

Step-by-step explanation:

1 - 0.12 = 0.88

12.60 * 0.88 = 9.45

You save $3.15

8 0

4 years ago

The record high temperature is 124 F the record low temperature for the same state is -8. What is the range integer? (Write and

guapka [62]

Answer:

here it's 124°F so if we subtract 8 in 124 it will be 124-8= 114°F

now the range = height - lowest = 124°- 114°F = 8° F

3 0

3 years ago

You invest $1,300 in an account that has an annual interest rate of 5%, compounded annually. How much money will be in the accou

KIM [24]

Answer:

A=Pe^rt

P= princible (1300)

e= (2.71828)- function on a graphing calculator

r = interest rate (.05 or 5%)

t = time (10 years)

A = 1300e^.05(10)

A = 1300e^.5

A = 2143.337652

A = 2143

7 0

4 years ago

Read 2 more answers

What are the domain and range of this function? y= (x+3)² - 5

Katarina [22]

Hello!

$\bf y = ( x + 3 )^{2} - 5$

- Separate the function into parts to determine the domain of each part.

$\bf ( x + 3 )^{2} \\ x + 3 \\ 5$

- The domain of a polynomial function is the set of all real numbers.

$\bf x ∈ ℝ$

Domain: ( -∞; ∞ )

$\bf y = ( x + 3 )^{2} - 5$

- Write the second degree function in standard form.

$\bf y = x^{2} + 6x + 4$

- Identifies the coefficients a and b of the second degree function.

$\bf a = 1, b = 6$

- Find the x coordinate of the vertex by substituting a = 1 and b = 6 in x = -b / 2a.

$\bf x = -\frac{6}{2×1}$

$\bf x = -\frac{6}{2}$

$\bf x = -3$

- Calculates the value of the function for x = -3.

$\bf y = ( x + 3 )^{2} - 5$

$\bf y = -5$

Range: ( -3; -5 )

Answer: No answer

Good luck! :)

3 0

3 years ago

Help please I-ready please

svlad2 [7]

Answer:

(5, 180)

Step-by-step explanation:

You use 5(z) and multiply it by 36 to get 180(y)

3 0

3 years ago

Read 2 more answers