Find the center of the circle that can be circumscribed about the triangle.

A - (0, 0)
B - (0, 1)
C - (-1, 3)
D - (2, 0)

Teo is 10.5 years old and Richard is 25.5 years old.

Represent Teo's age with x.

Using the above as a guide, we have the following:

Richard = x + 15

Their combined age is 36

So, we have the following representation

x + (x + 15) = 36

Evaluate the like terms

2x + 15 = 36

2x = 21

x = 10.5

Recall that

Richard = x + 15

So, we have

Richard = 10.5 + 15

Richard = 25.5

So Teo is 10.5 years old

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Answer:

Step-by-step explanation:

1+1=2 your welcome

The value of the expression 4p ÷ 6 when p = 12 is 8

Given the expression in the question;

4p ÷ 6

To determine the value of the expression, substitute p = 12 for all values of p in the expression and simplify.

4p ÷ 6

Plug in p = 12

4( 12 ) ÷ 6

Multiply 4 and 12

48 ÷ 6

Divide 48 by 6

8

Therefore, the value is 8.

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An equation for the line of best fit that models the data points is

y = 1.31x + 0.02.

We would utilise a scatter plot on Microsoft Excel to find a linear equation for the line of best fit that models the data points mentioned above.

In this case, the scatter plot's x-axis would be used to plot the width (in centimetres), and its y-axis would be used to plot the length (in centimetres).

A linear equation for the line of best fit can be derived from the scatter plot (see attachment), which depicts the relationship between the width and length as

y = 1.31x + 0.02.

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Answer: The graph shows no correlation, and it is neither linear nor exponential.

Step-by-step explanation:

try doing a line of fit you're ALWAYS. gonna be ignoring other dots/points/coorids.

Why it's not a correlation is because nothing is together. You could consider a lot of dots on the edge.

If that doesn't make sense to you lets go through each answer

The graph shows a negative correlation, and it is a linear model.

The coordinates don't form any specific line

None of the coordinates are together

there's no slope since there's no line of fit.

it's THE SAME FOR THE OTHER ANSWER CHOICES BESIDES:

'The graph shows no correlation, and it is neither linear nor exponential.'

A pattern when a binomial can be written as the square of one number minus the square of another number will be 4x² - 9 = (2x-3)(2x + 3)

Binomial is the name for an algebraic expression with only two terms. It is a polynomial with two terms. It is sometimes referred to as the sum or difference of two or more monomials. It is a polynomial's most basic form.

It should be noted that a binomial is an algebraic expression that has two non-zero terms. Examples of a binomial expression: a2 + 2b is a binomial in two variables a and b. 5x³ – 9y² is a binomial in two variables x and y.

In this case, the illustration for 4x² - 9 = (2x-3)(2x + 3) depicts this.

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Each person will get 1 [tex]\frac{7}{9}[/tex] cups of ice cream.

Division is one of the operation in mathematics where number is divided  into equal parts as that of a definite number.

Given that, Brian is splitting 4 quarts of ice cream with members of the team.

Assume the number of members of the team = 9

We have to find how many cups each member gets.

First we have to convert the measurement quarts to cups.

1 quart = 2 pints

1 pint = 2 cups

1 quart = 2 × 2 cups = 4 cups

We have 4 quarts of ice cream.

4 quarts = 4 × 4 = 16 cups

Number of cups each member gets = 16/9 cups = 1 [tex]\frac{7}{9}[/tex] cups

Hence there will be 1 [tex]\frac{7}{9}[/tex] cups for each member.

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Answer:

10a²/7

Step-by-step explanation:

25a/7×2a/5

50a²/35

10a²/7

Answer:

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The probability values

From the question, we have the following parameters that can be used in our computation:

n = 14

p = 2/14

The probability P(x =1) can be calculated as

P(x) = C(n, x) * p^x * (1 - p)^(n - x)

In this case, we have

P(x = 1) = C(14, 1) * (2/14)^1 * (1 - (2/14))^(13

Evaluate

P(x = 1) = 0.2696

The probability P(x >= 1) can be calculated as

P(x) = 1 - P(0)

In this case, we have

P(x >= 1) = 1 - [C(14, 0) * (2/14)^0 * (1 - (2/14))^(14)]

Evaluate

P(x >= 1) = 0.8845

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The value of the variable x is 4. 90

Algebraic expression are expressions composed of variables, terms, coefficients, factors and constants.

They are also made up of mathematical operations.

From the information given, we have that;

[tex]\sqrt{11x - 5}[/tex] = 7

To solve the equation

Find the square of both sides, we get;

11x - 5 = 7²

find the square

11x - 5 = 49

collect like terms

11x = 49 + 5

add the values

11x = 54

Make 'x' the subject

x = 4. 90

Hence, the value is 4. 90

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The value of t for which the ball's height is 26 feet is given as follows:

t = 0.33 seconds.

The quadratic equation that models a projectile's height is given as follows:

y = -16t² + v(0)t + h(0).

In which the parameters are given as follows:

The coefficients for this problem are given as follows:

h(0) = 6, v(0) = 37.

Hence the function is given as follows:

y = -16t² + 37t + 6.

The height is of 26 feet when:

-16t² + 37t + 6 = 20

Hence:

-16t² + 37t - 14 = 0.

The coefficients of the quadratic function are given as follows:

a = -16, b = 37, c = -14.

Inserting these coefficients into a quadratic function calculator, the time is given as follows:

t = 0.33 seconds.

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The area of the circle representing the population of California is 689.5 units

What is area of the circle?

Area of the circle is is them measure of size of circle. The area of circle is given by pi* r^2. where r is the radius of the circle which is equal to half the diameter. and pi is a mathematical constant. its value is 3.14.

We are given that the radius representing a circle for ohio is 8

Area of circle = 3.14 * (8^2)

Area of circle = 200.96

Now the area of the circle representing the population of California

given by,

= (39800000*200.96)/11600000

= 689.5

Hence the area of the circle representing population of California is 689.5

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The images of the functions are listed below:

Case 1: f(x) = √(- x) (Correct choice: A)

Case 2: f(x) = √(x - 4) (Correct choice: D)

Case 3: f(x) = √x - 3 (Correct choice: A)

Case 4: f(x) = √(x - 4) - 4 (Correct choice: A)

In this problem we find four cases of functions that must be transformed by rigid transformations. Rigid transformations are transformations applied on functions such that its features are not altered. We should apply, if possible, the following rigid transformations:

Reflection across the y-axis

f(x) → f(- x)

Translation to the right

f(x) → f(x - k), where k > 0

Translation downward

f(x) → f(x) - k, where k > 0

Now we proceed to determine the image of each function:

Case 1

f(x) = √x

Reflection across the y-axis

f(x) = √(- x)

Case 2

Translation 4 units right

f(x) = √(x - 4)

Case 3

Translation 3 units down

f(x) = √x - 3

Case 4

Translation 4 units right and 4 units down

f(x) = √(x - 4) - 4

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The total length of 3km, 464m, 8km, 550m and 900m in kilometre is 12.914 km. Thus Option d is correct

The total length of 3km, 464m, 8km, 550m and 900m in kilometre

As we know that 1000m = 1 km, now

= 3000 + 464 + 8000 + 550 + 900

= 12914 m

= 12.914 km

Thus, the total length of 3km, 464m, 8km, 550m and 900m in kilometre is 12.914 km

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Answer:

x^5y

Step-by-step explanation:

To find the greatest common factor (GCF) of 35x^5y and 42x^5y^3, we need to find the largest expression that divides into both of these polynomials.

The common factor in both of these polynomials is x^5y, which is the GCF. So, the GCF of 35x^5y and 42x^5y^3 is x^5y.

Answer:

option C

Step-by-step explanation:

line AB bisects the angle, so it is an angle bisector.

Answer:

-40

Step-by-step explanation:

100-40+10-100-20+20-(+10)

=60+10-100-20+20-10

=70-100-20+20-10

=-30-20+20-10

=-50+20-10

=-30-10

=-40

The range of the quadratic function is {y |0 ≤ y < 9}

The range of a function is the set of output values of the graph. In other words mean the range of a function is the set of y values of the graph.

Given,

Parabola opens from

Closed circle point = (-2, 4) , then decreases

y ≤ 4

vertex = (0,0)

at vertex y = 0

then increases to

Open circle point = (3, 9)

y < 9.

It can be concluded,

value of y is such that 0 ≤ y < 9.

Range = {y | 0 ≤ y < 9}

Hence, the range of the function is {y | 0 ≤ y < 9}

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The intersection points are (6, 6) and (-6, -6).

What is Intersection points?

The point at which two lines or curves intersect is referred to as the point of intersection. The point at which two curves intersect is crucial because it is the point at which the two curves take on the same value.

The given curves are the polar equations of two circles with radii 6. To find their intersection points, we can set the two equations equal to each other and solve for Ф.

6 sin(Ф) = 6 cos(Ф)

Dividing both sides by 6 and rearranging terms, we get:

tan(Ф) = 1

This equation has infinitely many solutions, but we are only interested in those that lie in the interval [0, π/2].

Ф = π/4 satisfies this condition and corresponds to the point (6, 6) in Cartesian coordinates.

Since the two curves are circles, they are symmetrical about the origin. Therefore, we can deduce that the other intersection point is (-6, -6).

Therefore, the intersection points are (6, 6) and (-6, -6).

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The area of the circular section is equal to 3π square meters. (Correct choice: C)

Herein we find the case of a circular section whose area must be found by the following formula:

A = (θ / 360) · π · R²

Where:

If we know that θ = 270° and R = 2 m, then the area of the circular section is:

A = (270 / 360) · π · (2 m)²

A = (3π / 4) · (2 m)²

A = 3π m²

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A repeating decimal like 0.2222222.... is a rational number and can be written as the fraction 2/9.

A stopping decimal like 0.22 is a rational number and can be written as the fraction 22/100.

A non-stopping and non-repeating decimal like 0.1234567891011... or 0.121121112... is an irrational number that can be written as the fraction 1514013912/5000000

The square root of a perfect square is a rational number and also a whole number.

The square root of a prime number is an irrational number.

The definition of a rational number is one that may be stated as a fraction or as a portion of a whole number. For example -7, 2/3, 3.75 Numbers that cannot be stated as a fraction or ratio of two integers are referred to be irrational numbers. There is no limit to how one might convey them. For example √2, √3, e

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The point (-5,-3) reflected over the y-axis is (5, -3).

There are two ways of reflection.

Along x-axis:

(x, y) – (x, -y)

Along y-axis:

(x, y) - (-x, y)

We have,

(-5, -3)

Now,

Along y-axis:

(x, y) → (-x, y)

So,

(-5, -3) → (-(-5), -3) = (5, -3)

Thus,

(5, -3) is the reflected point.

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Answer:

Step-by-step explanation:

A. Congruent

Answer: To find the inverse of the function f(x), we need to switch the roles of x and y, so that x becomes the dependent variable and y becomes the independent variable. Then, we need to solve for x in terms of y.

Let y = √x - 5, then x = y^2 + 5.

To find f^-1(2), we need to substitute 2 for y in the equation x = y^2 + 5:

x = 2^2 + 5 = 9

So f^-1(2) = 9.

This means that the inverse of f(x) at 2 is 9. In other words, if f(x) = 2, then x = 9.

Step-by-step explanation:

The function can be used to model the exponential growth or decay that occurs in real-life situations that fit this particular pattern is y = 4(-0.4)ˣ + -4

An exponential function is a mathematical function that has the form

=> y = abˣ,

where a is a constant and b is the base of the exponential.

To start, we will use the first point, (1, -1.6), to write an equation that relates x and y. Let's call the constant a in our exponential function "k". Using the point (1, -1.6), we can write the equation:

=> -1.6 = k * b¹

Next, we will use the second point, (2, -0.64), to write another equation that relates x and y. Using the point (2, -0.64), we can write the equation:

=> -0.64 = k * b²

Now that we have two equations, we can solve for the two unknowns, k and b, by dividing the two equations:

=> (-0.64) / (-1.6) = k * b² / k * b¹

b = (0.64 / -1.6)¹

b = -0.4

With b determined, we can substitute it back into one of the equations and solve for k:

=> -1.6 = k * (-0.4)¹

=> k = -1.6 / (-0.4)

=> k = 4

So our exponential function that passes through the points (1, -1.6) and (2, -0.64) and has a y-intercept of -4 is:

y = 4 * (-0.4)ˣ + -4

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The length of the part of the table that Dina will be painting is 21.991595 feet.

Circumference refers to the distance around the edge of a circle. It is the length of the perimeter of a circle and is defined as the product of the circle's radius and its constant pi (π). The formula for the circumference of a circle is:

C = 2πr

where C is the circumference, π is approximately equal to 3.14, and r is the radius of the circle.

The circumference of a circle is an important concept in geometry, trigonometry, and engineering, as it provides a measure of the size and shape of a circular object. Circumference is used in many applications, such as determining the size of wheels, gears, and other circular objects, as well as in the calculation of areas and volumes of circular shapes.

To find the length of the part of the circular table that Dina will be painting, we need to find the circumference of the circle.

Circumference = 2 * π * r

Where r is the radius of the circle. In this case, the radius is 3.5 feet, so:

Circumference = 2 * π * 3.5

Circumference = 2 * 3.14159 * 3.5

Circumference = 21.991595 feet (to 4 decimal places)

So, the length of the part of the table that Dina will be painting is 21.991595 feet.

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