A circle and a regular pentagon can intersect in

A. 5 triangles
B. A circle
C. A square
D. 5 points

20:50 or if you have to add it 70

Given:

The equation of a circle is

[tex]x^2+y^2=169[/tex]

A tangent line l to the circle touches the circle at point P(12,5).

To find:

The gradient of the line l.

Solution:

Slope formula: If a line passes through two points, then the slope of the line is

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Endpoints of the radius are O(0,0) and P(12,5). So, the slope of radius is

[tex]m_1=\dfrac{5-0}{12-0}[/tex]

[tex]m_1=\dfrac{5}{12}[/tex]

We know that, the radius of a circle is always perpendicular to the tangent at the point of tangency.

Product of slopes of two perpendicular lines is always -1.

Let the slope of tangent line l is m. Then, the product of slopes of line l and radius is -1.

[tex]m\times m_1=-1[/tex]

[tex]m\times \dfrac{5}{12}=-1[/tex]

[tex]m=-\dfrac{12}{5}[/tex]

Therefore, the gradient or slope of the tangent line l is [tex]-\dfrac{12}{5}[/tex] .

Answer:

The answer is below

Step-by-step explanation:

Select the quadrant in which the terminal side of the angle falls.

210° terminates in quadrant

-150° terminates in quadrant

390° terminates in quadrant

Solution:

The x and y axis divides the cartesian plane into four equal parts known as the four quadrants.

Angles between 0° and 90° are in the first quadrant, angles between 90° and 180° are in the second quadrant, angles between 180° and 270° are in the third quadrant while angles between 270° and 360° are in the fourth quadrant.

a) Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

b) -150° = 360 - 150 = 210°. Since 210 degrees is between 180° and 270°, hence it terminates in the third quadrant.

c) 390° = 390° - 360° = 30°.

Since 30 degrees is between 0° and 90°, hence it terminates in the first quadrant.

Answer:

a. quadrant III

b. quadrant III

c. quadrant I

Step-by-step explanation:

correct on edge 2022

Answer:

a)

The initial amount is 141,200.

The decay factor is 0.89, and the decay rate is of 0.11 = 11%.

b)

The function is [tex]y(t) = 141200(0.89)^t[/tex]

The number of bats in 2003 was of 13,729.

Step-by-step explanation:

Exponential decay function:

An exponential decay function has the following format:

[tex]y(t) = y(0)(1-r)^t[/tex]

In which y(0) is the initial value, 1 - r is the decay factor and r is the decay rate, as a decimal.

A. Identify the initial amount, the decay factor, and the decay rate

In 1983 there were 141,200 bats living in the caves, which means that the initial amount is 141,200.

That number decreased by about 11% annually until 2003 means that the decay factor is 1 - 0.11 = 0.89 and the decay rate is 0.11 = 11%.

B. Write a function that models and number of that since 1983 then find the number of bats in 2003

With the data found in question A, we have that:

[tex]y(t) = y(0)(1-r)^t[/tex]

[tex]y(t) = 141200(1-0.11)^t[/tex]

[tex]y(t) = 141200(0.89)^t[/tex]

The function is [tex]y(t) = 141200(0.89)^t[/tex]

Number in 2003

2003 is 2003 - 1983 = 20 years after 1983, so this is y(20).

[tex]y(20) = 141200(0.89)^{20} = 13729[/tex]

The number of bats in 2003 was of 13,729.

Answer:

0.01, 1%, or 1/100

Step-by-step explanation:

These are all the same.

Answer:

Step-by-step explanation:

use the number then do ÷

Answer:

24.16

Step-by-step explanation:

Rewrite 3/4 to have the same denominator as 1/8.

3/4 = 6/8

Now you have 1/8 + 6/8 = 7/8

The answer is 7/8

Answer:

(b³+11b²+24)ft³

Step-by-step explanation:

Volume of the rectangular prism = Length * Width * Height

Given the dimension

Length = b+8 ft

Width = b ft

Height = (b+3)ft

Volume of the rectangular prism = b(b+8)(b+3)

Volume of the rectangular prism = b(b^2+3b+8b+24)

Volume of the rectangular prism = b(b^2+11b+24)

Volume of the rectangular prism = b(b^2)+b(11b)+1(24)

Volume of the rectangular prism = b^3+11b^2+24

Hence the Volume of the rectangular prism is (b³+11b²+24)ft³

Answer:

1 and 6 (alternate exterior angle)

2 and 5(corresponding angle)

4 and 5(co interior angle)

3 and 5(alternate interior angle)

Answer:

X axis is on the left of the Coordinates (x,y) and Y axis is on te right

X goes sideways

Y goes Vertical

Step-by-step explanation:

Answer:

Number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27

Step-by-step explanation:

Amount of water needed to fill the tank = 9 liters

Measure of water to fill a vessel = [tex]\frac{1}{3}[/tex] liters

Number of [tex]\frac{1}{3}[/tex] liters vessels required to fill the tank = [tex]\frac{9}{\frac{1}{3}}[/tex]

                                                                                  = 9 × [tex]\frac{3}{1}[/tex]

                                                                                  = 27

Therefore, number of [tex]\frac{1}{3}[/tex] liters required to fill the tank = 27

Answer:

The power of the polynomial determines the number of zeroes it has in this case power is 4 so 4 zeroes. Whereas in 5^3+4 it has 3 zeroes as its power is 3. U can find the zero by trial and error method.

Hope this helps.

Step-by-step explanation:

Answer:

-3.5x - 31.5

Step-by-step explanation:

-3.5(x+9)

= -3.5x + -3.5(9)

= -3.5x - 31.5

Answer:

-2   -1     0      1    2   3

8     7     6      5    4   3

Step-by-step explanation:

Answer:

First one is 2. The second one is 5.

Step-by-step explanation:

Answer:

Ship one is closer to the coast guard

Answer:

1/7

Step-by-step explanation:

Answer:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

Answer:

65

Step-by-step explanation:

Answer:

4x^3+2x^2+2x

Step-by-step explanation:

The difference of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x

To subtract one polynomial from another, take like terms together.

Given the polynomials:

f(x) = 9x³ + 2x² - 5x + 4 and g(x) = 5x³ - 7x + 4

Find f(x) - g(x):

(9x³ + 2x² - 5x + 4 ) - (5x³ - 7x + 4)

Open the bracket

9x³ + 2x² - 5x + 4 - 5x³ + 7x - 4

Combine like terms together

4x³ + 2x² + 2x

Therefore, the subtraction of the two polynomials, is: f(x) - g(x) = 4x³ + 2x² + 2x

Learn more about polynomials on:

https://brainly.com/question/2833285

Answer:

Line a and Line b are parallel. The slopes are equal

Line b is perpendicular to line c. The slopes are different

Step-by-step explanation:

The standard form of an equation is y =- mx+C

m is the slope

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1

For Line a: 4x-3y = 2

Rewrite

-3y = -4x+2

y = 4/3 x - 2/3

Slope of line a is 4/3

Line b: y = 4/3x + 2

mx = 4/3x

m = 4/3

slope of line b is 4/3

Line c = 4y+3x = 4

4y = -3x + 4

y = -3/4 x + 1

Slope of line c is -4/3

Since line a and b have the same slope, they arer parallel

mb * mc = 4/3 * -3/4

mb*mc = -1

Since the product of slope of line b and c is -1, they are perpendiclar

Answer:

3 and 8

Step-by-step explanation:

3 and 8 are the only numbers that have a variable, or the letter beside it

Answer:

12^2 = 144 and 13^2 = 169

So, the answer is 12 and 13

Step-by-step explanation:

Answer:

брате, заткнись, блядь, знай, хтось дбає про твої дивні тли

Step-by-step explanation: