i need a long essay about may the bridges i burn light the way​

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 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:

I attached an image of it filled out, please give me brainliest if this helped!

Answer:

Step-by-step explanation:

use the number then do ÷

Answer:

65

Step-by-step explanation:

Answer:

man ion know

Step-by-step explanation:

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.

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:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

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:

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:

First one is 2. The second one is 5.

Step-by-step explanation:

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:

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

Step-by-step explanation:

Answer:

m∡A = 50°

Step-by-step explanation:

since they are complementary they must equal 90°

4x+6 + 4x-4 = 90

8x + 2 = 90

8x = 88

x = 11

∡A = 4(11)+6 = 44+6 = 50

Answer:

P = 14x + 4

Step-by-step explanation:

P = 2(3x) + 2(4x + 2)

P = 6x + 8x + 4

P = 14x + 4

Answer: no its not linear

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

0

0

or

1

1

for each of its variables. In this case, the degree of variable

Y

Y

is

1

1

and the degree of variable

x

x

is

5

5

.

Not Linear

Answer:no its not linear

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be

0

0

or

1

1

for each of its variables. In this case, the degree of variable

Y

Y

is

1

1

and the degree of variable

x

x

is

5

5

.

Not Linear

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:

3 and 8

Step-by-step explanation:

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

9514 1404 393

Answer:

  angles: ∠J≅∠P, ∠K≅∠M, ∠L≅∠N

  sides: JK ~ PM, KL ~ MN, LJ ~ NP

Step-by-step explanation:

The similarity statement lists corresponding parts in the same order. For example, the first letter of one triangle designator corresponds to the first letter of the other triangle designator.

It is easy to list corresponding angles. Simply list them in the same order as they show up in the similarity statement.

  angles: ∠J≅∠P, ∠K≅∠M, ∠L≅∠N

__

Likewise, corresponding segments are those between corresponding vertices. If a segment uses letter designations 2 and 3 in one triangle (KL), it will use letter designations 2 and 3 in the other triangle (MN).

  sides: JK ~ PM, KL ~ MN, LJ ~ NP

_____

Additional comment

I sometimes find it easier to list the vertices vertically. Then I can see the correspondence more directly.

  J . . P

  K . . M

  L . . N

Mean is 7

HOPE THIS HELPS YOUUUUU!!!!

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:

p=4x^3−3x^2+5x−2/x

Step-by-step explanation:

Let's solve for p.

px=4x^3−3x^2+5x−2

Step 1: Divide both sides by x.

px/x=4x^3−3x^2+5x−2/x

p=4x^3−3x^2+5x−2/x

Answer:

p=4x^3−3x^2+5x−2/x

( I hope this was helpful) >;D

Answer:

Markup: 2.925

Selling price: $41.925

Step-by-step explanation:

Answer:

12 percent

Step-by-step explanation: