Write the equation of a circle with a radius of 8 and a center at (4, -9).

Slope intercept form (general)

y = mx + b

Where:

m= slope

b= y-intercept

m = 5/3

y = 5/3x + b

Replace ( x,y ) by the given point (2/3,-3/5) and solve for b.

-3/5 = 5/3 (2/3) + b

-3/5 = 10/9 + b

-3/5 - 10/9 = b

b = -77/45

y = 5/3x - 77/45

It is given that angle 1 and angle 2 are vertical angles.

It is known that the vertical angles are congruent.

Therefore it follows:

So the value of angle 1 is given by:

Hence the angle is 41 degrees.

The probability (P) can be gotten as follows:

Each coin has a 1/2 = 0.5 probability of getting a tail. Thus, to get the probability of the 5 coins is:

Then the probability for a tail to emerge

The graph indicates that Eric sells 60 cups of lemonade in 5 days.

Substituting x = 5 in the equation of Sarah, we get:

y = 10x

y = 10*5

y = 50

That is, Sarah sells 50 cups of lemonade in 5 days.

Then, Eric sells more cups.

The factor when Bradley is trying to find a missing factor a product is odd.

From the information given, the product of that factor has a ones digit = 3. From the information, we have to find whether the missing factor is even or odd.

We know that, the product of two odd numbers is odd. The product of two even numbers is even.

The product of one even and one odd number is even.

If one digit of a number is odd then the number must be odd.

It means factors of odd numbers are odd.

If the product of that factor has 3 in the ones digit then, the missing factor will be odd.

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we need to calculate the perimeter of a circle of radius 65

perimeter=2pi*radius=2pi*65=130pi

then after 10 rotations the wheel have turned 10(130pi) feets= 1300pi feets

2x + 4y = 20

when y = 0

2x + 4(0) = 20

2x = 10

Divide both-side of the equation by 2

x = 10

Hence, it lies on the point 2x + 4y = 20

The equation of a line in the slope-intercept form is y = mx + b, where "m" is the slope and b is the y-intercept.

To find the equation of the line given two points (x, y), follow the steps below.

Step 01: Substitute the point (-3, 2) in the equation.

To do it, substitute x by -3 and y by 2.

Isolate b by adding 3m to both sides of the equation.

Step 02: Substitute b in the equation of the line.

Knowing that b = 2 + 3m. Then,

Step 03: Substitute the point (-6, -2) in the equation from step 02.

To do it, substitute x by -6 and y by -2.

Isolate "m" by subtracting 2 from both sides.

Finally, divide both sides by -3:

Knowing "m", use the equation from step 1 to find "b".

Step 04: Find "b".

Substituting m by 4/3 and solving the equation:

Answer: The equation of the line is:

He give the delivery person a tip of 2.1%

What is delivery ?

Transporting items from a source point to a predetermined destination is known as delivery. Roads, railroads, shipping lanes, and airline networks all play major roles in the delivery of cargo (physical products). Specialized networks, such as pipelines for liquid products, power grids for electrical power, computer networks like the Internet, or broadcast networks for electronic information, may be used to distribute specific sorts of goods. [1] A specific subcategory is car transport, and an associated variation is autorack, which involves shipping cars through railroad.

Delivery, which comprises both transportation and distribution, is a crucial aspect of trade and commerce.Distribution is the overall process of providing things, while logistics is the study of efficient delivery and disposition procedures for both persons and materials. Distributors are companies that specialize in moving commercial items from their site of manufacture or storage to their point of sale, whereas delivery services are companies that focus on moving goods to consumers. Deliveries of goods for both commercial and private purposes are also made by postal, courier, and moving services.

According to the question

The new refrigerator delivered to his home for $950

tip he gave to the delivery person = $20

let tip he gave to the person in percentage be x

$20=  [tex]\frac{x}{100}(950)[/tex]

x =[tex]\frac{20(100)}{950}[/tex]

x=2.1%

Thus the tip is 2.1%

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ANSWER

EXPLANATION

Given:

Desired Outcome:

The factored form of the least common denominator

Simplify the expression

Answer:

B. A = 6s²

E. V = (4/3)πr³

Explanation:

A formula describes a function that is nonlinear if the exponent of the variable is greater than 1.

Therefore, the geometric formulas that describe functions that are nonlinear:

A = 6s²

V = (4/3)πr³

Because the variable s has an exponent equal to 2 for the first one and the variable r has an exponent equal to 3 for the second one.

Answer:

The slope of this line is 3/4.

The area of triangle is

Como cada uno de los hermanos le regalará un trozo de twizzler a su padre, ékl tendra tres twizzlers. En milímetros eso es

Ahora tenemos que convertir los milimetros a centímetros. Recordemos que un centímetro tiene 10 milímetros. Entonces, tenemos que dividir la cantidad total de milímetros entre 10.

Por lo tanto el padre tendrá 30 cm de twizzler en total.

The distance between 1.25 and -1.25 is computed as follows:

1.25 - (-1.25) = 1.25 + 1.25 = 2.5

(2x + 3)(x + 4) = 2x² + 8x + 3x + 12 = 2x² + 11x + 12 ≠ 2x² + 10x + 12

So, the expression (2x + 3)(x + 4) is not equivalent to 2x² + 10x + 12

Given a regular pentagon HIJKL.

We are asked to find the measure of Angle HIK

To find the measure of a central angle of a regular pentagon, we make a circle in the middle of the pentagon. We know that a circle is 360 degrees around.

Now, we will divide the 360 by the five angles. Now, the measure of each central angle is equal to:

360/5

So,

Angle HIK = 360/5

Angle HIK = 72˚

Therefore, the correct option is C, which is 72˚.

If the proportion of compounds A and B is 5 to 7, we can calculate the amount of each compound in the total of 1056 using the equations:

So the amount of compound A needed is 440 ml.

He added 4 to both sides:

He divided both sides by 4:

However he got:

x < 6

He flipped the inequality sign which is incorrect since he is not dividing by a negative number

Answer

The perimeter of the triangle is 48.298 units

Explanation

The triangle has the vertices (-9, -5), (-6, 1) and (5, 8).

To find the perimeter of the triangle, we need to find the lengths of the sides of the triangle. The perimeter is the sum of all its sides.

Each side will be calculated from the distance between the vertices.

The distance between two points with the coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

The sides of the triangle will be between

(-9, -5) and (-6, 1)

(-9, -5) and (5, 8)

(-6, 1) and (5, 8)

(x₁, y₁) and (x₂, y₂) is (-9, -5) and (-6, 1)

x₁ = -9

y₁ = -5

x₂ = -6

y₂ = 1

d = √[(-6 - (-9))² + (1 - (-5))²]

d = √[(-15)² + (6)²]

d = √(261)

d = 16.155

(x₁, y₁) and (x₂, y₂) is (-9, -5) and (5, 8)

x₁ = -9

y₁ = -5

x₂ = 5

y₂ = 8

d = √[(5 - (-9))² + (8 - (-5))²]

d = √[(14)² + (13)²]

d = √(365)

d = 19.105

(x₁, y₁) and (x₂, y₂) is (-6, 1) and (5, 8)

x₁ = -6

y₁ = 1

x₂ = 5

y₂ = 8

d = √[(5 - (-6))² + (8 - 1)²]

d = √[(11)² + (7)²]

d = √(170)

d = 13.038

The perimeter of the triangle is thus given as

Perimeter = 16.155 + 19.105 + 13.038

= 48.298 units

Hope this Helps!!!

Answer:

75%

Step-by-step explanation:

Divide 48 by 36:

36/48=

(12*3)/(12*4)=

3/4=0.75

Multiply the decimal by 100 to get the percent:

0.75*100=75%

The workers present on the certain day given is 75%

A percentage is a number that tells us how much out of 100 and can also be written as a decimal or a fraction.

Given that, There are 48 employees in a company. On a certain day, 36 were present.

To find the percentage of workers present = present/totalx100

= 36/48x100

= 75

Hence, The workers present on the certain day given is 75%

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Given the point:

(0, 6)

Let's find the quadrant and the axis where the point is located.

We have:

(x, y) ==> (0, 6)

The x-coordinate of the point is 0, while the y-coordinate of the point is 6.

Here, the point (0, 6) lies on the y-axis.

Also, since the x-coordinate is 0, we can say the point lies in between quadrant I and quadrant II.

From the graph above we can see the point (0, 6) is between quadrant I and II, and the point lies on the y-axis.

ANSWER:

• The point is in beween Quadrant I and II

• The point lies on the y-axis.

Given:

The ratio of the angles is 3:4:6.

Required:

We need to find the measure of each angle of the triangle.

Explanation:

Let the angles of the triangle be 3x, 4x and 6x.

We know that the sum of the angles is equal to 180 degrees.

Divide both sides by 13.

Substitute x values in 3x, 4x and 6x.

Final answer:

The angles are 41.55, 55.40 and 83.05.

a rational number is a type of real numbers, which is in the form of p/q where q is not equal to zero.

Let a/b and c/d represent two rational numbers. This means a, b, c, and d are integers, and b and d are not 0. The product of the numbers is ac/bd, where bd is not 0. Both ac and bd are integers, and bd is not 0. Because ac/bd is the ratio of two integers, the product is a rational number

Answer:

Explanation:

The formula for calculating binomial probability is expressed as

P(x) = nCx * p^x * q^(n - x)

where

n is the number of trials

x is the number of successes

p is the probability of success

q is the probability of failure

From the information given,

n = 9

p = 0.3

q = 1 - p = 1 - 0.3 = 0.7

By using a binomial probability calculator,

P(x ≥ 2) = 0.804

Given

F(x) = 2x³-²-9x+6

Find

roots of the polynomial function below

Explanation

we have to find the roots of the polynomial function.

now solve quadratic equation ,

Final Answer

Therefore , the correct options are B , C and E

Answer:

C. 54

Explanation:

The triangles ABD and ACD are congruent by SAS (Side - angle - side) becuase

AD is congruent to itself

∠ADB = ∠ADC

BD is congruent to CD

So, the length of AB is equal to the length of AC and we can write the following equation

AB = AC

4x + 6 = 5x - 6

Solving for x, we get:

4x + 6 + 6 = 5x - 6 + 6

4x + 12 = 5x

4x + 12 - 4x = 5x - 4x

12 = x

Then, the length of AB is

AB = 4x + 6

AB = 4(12) + 6

AB = 48 + 6

AB = 54

Therefore, the answer is

C. 54

What is 0.023% of 2100?

Word "is" means = and the word "of" means times

So it is x = 0.023% * 2100

At first, change 0.023% to a normal number by dividing it by 100

Let us simplify the right side

Now use your calculator to find the answer

x = 0.483

0.483 is 0.023% of 2100