Find the circumcenter of the triangle.
(-1, 1)
(4,-2)
(-1, -2)

Given the functions:

Solve the equations means finding the values of x provided that f(x) = g(x)

so,

Make the square root alone on the right-side

Square both sides to eliminate the square root:

Simplifying the equation:

Solve the last equation to find the values of x

We can use the calculator to find the values of x

So,

Rounding to the nearest tenth

So, the answer will be x = {-1.7, 4.1 }

Answer: 9

Step-by-step explanation:

Given

The dimension of a rectangular prism is

\(L=2\ in\)

\(W=112\ in.\)

\(h=114\ in.\)

Volume of Prism \(V=L\times W\times h\)

\(\Rightarrow V=2\times 112\times 114=25,536\ in.^3\)

The volume of the unit cube

\(\Rightarrow V_c=14\times 14\times 14=2744\ in.^3\)

Suppose there are n unit cubes to fit in a rectangular prism

\(\Rightarrow n=\dfrac{V}{V_c}=\dfrac{25,536}{2744}=9.306\approx 9\)

The percentage of red pencils Mike had is 75%.

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, Mike had 180 blue and red pencils and 45 were blue.

So, The number of red pencils is,

= (180 - 45).

= 135.

Therefore, The percentage of red pencils is,

= (135/180)×100%.

= 75%.

Some other concept related to percentage is percentage change,  

The net amount change will now be divided by the original sum and multiplied by 100%, giving us the percentage change, which is,

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ2

Answer:

The answer is 39

Step-by-step explanation:

75 + 3 = 78

78/2 = 39

Answer:

(c) is the right answer

go for it

hope it helps you

Step-by-step explanation:

please mark me as brainliest please

Answer:

See attached graph.

Step-by-step explanation:

Use DESMOS graphing software.  Free.

The rate at which air is being pumped in when the radius of the sphere is 10 cm and increasing at a rate of 2 cm/s is 400π/3 cm³/s.

The volume V of a sphere with radius r is given by V = (4/3)πr³. Taking the derivative of this expression with respect to time t, we get dV/dt = 4πr²(dr/dt). This equation relates the rate of change of volume to the rate of change of the radius. We are given that the radius is increasing at a rate of 2 cm/s, so dr/dt = 2 cm/s.

At the instant when the radius is 10 cm, we can find the rate at which air is being pumped in by substituting r = 10 cm and dr/dt = 2 cm/s into the equation for dV/dt. Thus, we have dV/dt = 4π(10)²(2) = 800π cm³/s.

Therefore, when the radius of the spherical balloon is 10 cm and is increasing at a rate of 2 cm/s, the rate at which air is being pumped in is 400π/3 cubic centimeters per second.

To know more about radius of the sphere, refer here:

https://brainly.com/question/15858114#

#SPJ11

The mean of these numbers is 13.83 hours (14 hours to the nearest whole number)

Here, we want to calculate the mean number of hours

To do this, we simply add all the numbers and divide by the count of the numbers

The count of the numbers is 6

Thus, we have the calculation as follows;

Answer:

B: $21

Step-by-step explanation:

The standard deviation of the sampling distribution of the sample mean of a random sample of 50 adults with a population mean of 98.6 degrees and a standard deviation of 0.60 degrees is 0.06 degrees.

The standard deviation of the sampling distribution of the sample mean is a measure of the variability of the mean of sample means from the population mean.,given a population mean of 98.6 degrees and a population standard deviation of 0.60 degrees, and a sample size of 50, the standard deviation of the sampling distribution of the sample mean is 0.06 degrees. This means that the mean of the sample means is likely to fall within 0.60 degrees (± 0.06 degrees) of the population mean, 98.6 degrees.

Therefore, the standard deviation of the sampling distribution of the sample mean of a random sample of 50 adults with a population mean of 98.6 degrees and a standard deviation of 0.60 degrees is 0.06 degrees.

Learn more about standard deviation here:

https://brainly.com/question/23907081

#SPJ4

Answer:

b

Step-by-step explanation:

cosecx is the reciprocal of sinx so if cosec(x) = 10 then sin (x) = 1/10

1/10 = 0.1

An image that has reflectional, rotational, and point symmetry is a regular polygon. I can explain the terms and help you identify the symmetries in the images.

1. Reflectional symmetry: An image has reflectional symmetry if it can be reflected over a line (called the "line of symmetry") and still look the same as the original image.

2. Rotational symmetry: An image has rotational symmetry if it can be rotated around a point (called the "center of rotation") by a certain angle (less than 360°) and still look the same as the original image.

3. Point symmetry: An image has point symmetry if it looks the same when rotated by 180° around a central point (also called the "point of symmetry").

To determine which image has all three types of symmetry, examine each image and check if it meets the criteria for reflectional, rotational, and point symmetry. Once you identify an image that satisfies all three criteria, you have found the correct image.

To know more about symmetry Visit:

https://brainly.com/question/1597409

#SPJ11

Answer:

The answer is explained below

Step-by-step explanation:

Statement                                                        Reason

Triangle ACD is isosceles and                         Given

<1 = <3 (<1 is congruent to <3)                                                            

∠3 = ∠4                                                             Isosceles   triangle base angles.

∠1 = ∠4                                                              Substitution Theorem

∠1 = ∠4                                                             They are produced by two lines .                                                                         AB and CD cut by transversal  

.                                                                         line AD

Segment AB || Segment CD                           Alternate interior angle theorem  

The Alternate interior angle theorem states that if two lines cut by a transversal line form congruent alternate interior angles, then the two lines are parallel to each other.

The expressions and their equivalent expressions are

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

x² - 16

Using the difference of two squares, we have

x² - 16 = (x - 4)(x + 4)

Next, we have

(2x + 1)²

When expanded, we have

(2x + 1)² = 4x² + 4x + 1

Read more about expression at

https://brainly.com/question/32302948

#SPJ4

Question

Match each expression to its equivalent expression

x² - 16

(2x + 1)²

4x² + 4x + 1

(x - 4)(x + 4)

Answer:

Use the distance formula to determine the distance between the two points.

Distance

=

√

(

x

2

−

x

1

)

2

+

(

y

2

−

y

1

)

2

Substitute the actual values of the points into the distance formula.

√

(

4

−

(

−

5

)

)

2

+

(

9

−

2

)

2

Simplify.

Tap for more steps...

√

130

The result can be shown in multiple forms.

Exact Form:

√

130

Decimal Form:

11.40175425

…

image of graph

([)]|√>≥

789÷<≤

456/×

Answer:

Jacksons Tip: $2.31

Total: $17.71

Answer:

Step-by-step explanation:

The equation of the linear function: f(x) = mx + b

f(-1) = -3   ⇒   -3 = m(-1) + b  ⇒   m = b + 3

f(4)=-5   ⇒   -5 = m×4 + b  

                   -5 = 4(b+3) + b

                   -5 = 4b + 12 + b

                    5b = -5 - 12

                      b = -¹⁷/₅

m = -¹⁷/₅ + 3 = -¹⁷/₅ + ¹⁵/₅ = -²/₅

Therefore the function:

Answer:

x < -1/2

Step-by-step explanation:

x - 8 > 5x

-8 > 5x -x

-8 > 4x

Divide through by 8

-1/2 > x or x < -1/2.

That is ofcourse if I interpreted the first part correctly.

Answer: THE ANSWER IS D. $2.15; $2.83

a taxi company charges passengers 1.75 for a ride,?

a taxi company charges passengers 1.75 for a ride, no matter long the ride is, and an additonal $0.40 for each mile traveled. the rule c=0.40m+1.75 describes the relationship between the number of miles M and the total cost of the ride c.  

what is the charge for 2.7 mile ride

A.    5.13

B.    1.08

C.    2.15

D.    2.83

Favorite Answer

D  2.83

c = 0.4. * 2.7 + 1.75

=> c = 2.83

Step-by-step explanation: It Looks Like The Answer is D

c=0.40(2.7)+1.75=$2.83 so $2.83 is the answer

1.75+(2.7*.4)=

1.75+1.08=

2.83

The answer is $2.83

Answer:Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

The rate of change of the linear function represented by the table is a = 4.

A general linear function is written as:

f(x) = a*x + b

Where a is called the slope and is also the rate of change of the function, and b is the y-intercept.

If we know two points on the line, (x₁, y₁) and (x₂, y₂), then the rate of change can be computed with the following formula:

a = (y₂ - y₁)/(x₂ - x₁)

In this case we have a table with some points on that line, we can use any two we want.

For example, I will use the first two, these are:

(-4, -21) and (-3, -17)

Then the rate of change of the linear function is given by:

a = (-17 + 21)/(-3 + 4) = 4/1 = 4

The rate of change is a = 4.

Learn more about linear functions:

https://brainly.com/question/4074386

#SPJ1

The area of the polygon is solved to be  1044 squared cm

The area of the composite polygon is solved by dividing the object into two sections. Then adding up the areas

Section 1 has dimensions:

length * width = 46 * 14 = 644

section 2 has dimensions:

length = 46 - 21 = 25

width = 30 - 14 = 16

Area = 25 * 16 = 400

Area of the composite figure

section 1  + section 2

= 644 + 400

= 1044 squared cm

Learn more about area at

https://brainly.com/question/2607596

#SPJ1

The domain of a function is the set of all possible inputs for the function.

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,1],{y|y≤1}

What are the domain and range?

The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it can take as input. After we enter an x value, the function outputs this sequence of values.

We have,

f(x) = 1 - x²

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x).

f(x) = 1 - x² is defined for all Real values of x and therefore the domain is all Real values (R).

x² has a minimum value of 0 (for x ∈ R)

therefore

−x² has a maximum value of 0

and

−x² + 1 = 1 − x² has a maximum value of 1.

Hence, the domain of a function is the set of all possible inputs for the function,

Domain: (−∞,∞),{x|x∈R}

Range: (−∞,1],{y|y≤1}

To learn more about the domain and range visit,

brainly.com/question/26098895

#SPJ4

The total number of roots for the given polynomial is for f(x) = 3x⁶ + 2x⁵ + x⁴ - 2x³ is 6.

What is the polynomial function?

A polynomial function is a function that may be written as a polynomial. A polynomial equation definition can be used to obtain the definition. P(x) is the general notation for a polynomial. The degree of a variable of P(x) is its maximum power. The degree of a polynomial function is particularly important because it tells us how the function P(x) behaves as x becomes very large. A polynomial function's domain is full real numbers (R).

Here, we have

Given:  polynomial function: f (x) = 3x⁶ + 2x⁵ + x⁴ - 2x³

We have to find the number of roots of a polynomial function.

For finding the number of roots, we just need to see what is the degree fro the given polynomial, where the degree of the polynomial is nothing but the highest exponent.

For the function f (x) = 3x⁶ + 2x⁵ + x⁴ - 2x³, here the degree is 6, and the respective function is having 6 numbers of roots, which be real roots and complex roots too.

Hence, the total number of roots for the given polynomial is for f(x) = 3x⁶ + 2x⁵ + x⁴ - 2x³ is 6.

To learn more about the polynomial function from the given link

https://brainly.com/question/2833285

#SPJ4

Answer:

See explanation

Step-by-step explanation:

Pears Cameron has = 6 pounds

roasted-pears recipe per batch = 13 pounds

How many batches can he make?

Number of batches of roasted-pear = Pears Cameron has / roasted-pears recipe per batch

= 6 pounds / 13 pounds

= 0.4615384615384 pounds

Approximately,

Number of batches of roasted-pear = 0.46 pounds

Answer:

JL ⊥ KM

Step-by-step explanation:

JL ⊥ KM would make the quad a rhombus because JKLM is a parallelogram since opposite sides are congruent.  If the diagonals of a parallelogram are perpendicular, then the quad must be a rhombus.

JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Given :

The following steps can be used in order to determine the correct statement that shows that JKLM is a rhombus:

Step 1 - Remember a quadrilateral has four sides and the sum of the interior angles of a quadrilateral is 360 degrees.

Step 2 - According to the given data, KL ≅ JM, JK ≅ LM, and KA ≅ MA.

Step 3 - So, to make JKLM a rhombus, JL must be perpendicular to KM because in a parallelogram if diagonals are perpendicular then the quadrilateral JKLM is a rhombus.

Therefore, the correct option is B).

For more information, refer to the link given below:

https://brainly.com/question/14462098