I need help pleaseee​

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:

Step-by-step explanation:

use the number then do ÷

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:

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:

1 and 6 (alternate exterior angle)

2 and 5(corresponding angle)

4 and 5(co interior angle)

3 and 5(alternate interior angle)

Answer:

0.05

Step-by-step explanation:

20:50 or if you have to add it 70

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:

y=3 you have to use PEMDAS

Answer:

y=3

Step-by-step explanation:

Combine multiplied terms into a single fraction

2.4y-3.2=4

12y/5 -3.2=4

Add 3.2 to both sides of the equation

12y/5- 3.2+3.2=4+3.2

Simplify

add the numbers 12y/5=7.2

Solution

y=3

Answer:

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

Step-by-step explanation:

Answer:

65

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:

x = 13

Step-by-step explanation:

3x + 12 + 5x + 16 + 4x + 18 = 202

combine like terms

12x + 12 + 16 + 18 = 202

12x + 46 = 202

       -46     -46

12x = 156

divide by 12

x = 13

Hope this helped! Have a nice rest of ur day! Plz mark as brainliest!!!

-Lil G

Add all the sides together (don´t forget parenthesis) Put the x´s with the x´s and the same with the other numbers. The subtract additional numbers from the total. The divide what left from the number in front of the x.

(3x + 12) + (5x + 16) + (4x + 18) = 202

8x + 28 + (4x + 18) = 202

12x + 46 = 202

      - 46     -46

12x = 156

/12      /12

x = 13

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:

3 and 8

Step-by-step explanation:

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

Thanks for taking the time to read this!

Hope you have a good day, Loves.

And don't forget to eat!

where are the statements so i can help

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:

First one is 2. The second one is 5.

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

16 girls like biology so 16/100=0.16 in order to get percentage multiply by 100 so 16%. Think you are missing some parts tho

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:

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:

d

Step-by-step explanation:

363

u have to times the three numbers from the 1 square and the 3 numbers from the other square with them self's5x3x5 and 12x3x8) and then add the 2 answers together :)

Answer:

D

Step-by-step explanation:

3×12×8=288

5×5×3=75

288+75=363

Answer:

10 students didnt turn in work

Step-by-step explanation:

10. its like saying 100 divided by 25

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:

32

Step-by-step explanation:

16x2