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I think your question seems to be :-

Write the equation of the circle that has a center of (-7, 17) with a radius of √19

So , as we know that the equation of circle with centre at (h,k) and radius r is given by [tex]{\bf{(x-h)^{2}+(y-k)^{2}=r^{2}}}[/tex] . Now , using same concept in this question ;

[tex]{:\implies \quad \sf \{x-(-7)\}^{2}+(y-17)^{2}=(\sqrt{19})^{2}}[/tex]

[tex]{:\implies \quad \bf \therefore \quad \underline{\underline{(x+7)^{2}+(y-17)^{2}=19}}}[/tex]

This is the required equation of Circle

Answer: 144 square centimeters

Step-by-step explanation:

An area of a triangle is determined by this formula: Area = Length * Height/2. Since 12 x 24 = 288, divide 288 by 2 and you will have 144

Conclusion:

it's 144 square centimeters

Answer:

28

Step-by-step explanation:

because it's value increases by 28 every month

Explanation:

Think of the vertical lines as train tracks (the metal rails).

Stuff between the rails are interior angles.

Angles 3 and 6 are one pair of alternate interior angles because they are on alternating sides of the transversal line. The other pair of alternate interior angles are angles 4 and 5.

Alternate interior angles are congruent when we have parallel lines like this.

Answer:

Absolute Value Inequality entered :      |2x-6|<10 

Step by step solution :STEP 1:Rearrange this Absolute Value InequalityAbsolute value inequalitiy entered      |2x-6| < 10 STEP 2:Clear the

Absolute Value BarsClear the absolute-value bars by splitting the equation into its two cases, one for the Positive case and the other for the Negative case.

The Absolute Value term is |2x-6| For the Negative case we'll use -(2x-6) For the Positive case we'll use (2x-6) STEP 3:Solve the Negative Case      -(2x-6) < 10      Multiply      -2x+6 < 10      Rearrange and Add up      -2x < 4      Divide both sides by 2       -x < 2      Multiply both sides by (-1)      Remember to flip the inequality sign       x > -2    
  Which is the solution for the Negative Case

STEP 4:Solve the Positive Case      (2x-6) < 10      Rearrange and Add up      2x < 16      Divide both sides by 2       x < 8      Which is the solution for the Positive Case

STEP 5:Wrap up the solution    -2 < x < 8 Solution in Interval Notation    (-2,8) Solution on the Number Line

One solution was found :    -2 < x < 8

Step-by-step explanation:

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Answer: 124

Step-by-step explanation:

First, subtract 6 on both sides to get:

[tex]\sqrt[5]{249-2x} =1[/tex]

Take both sides to the 5th power. The radical will cancel, and the right side will be unchanged:

[tex]249-2x=1[/tex]

Subtract 249 on both sides:

[tex]-2x=-248[/tex]

[tex]2x=248[/tex]

[tex]x=124[/tex]

Answer:

x=124

Step-by-step explanation:

[tex]6+\sqrt[5]{249-2x} =7\\\sqrt[5]{249-2x} =7-6=1\\249-2x=1^5=1\\249-1=2x\\2x=248\\x=\frac{248}{2} =124[/tex]

Step-by-step explanation:

[tex] \frac{x + 3}{3} = \frac{y + 2}{2} [/tex]

[tex]2(x + 3) = 3(y + 2)[/tex]

[tex]2x + 6 = 3y + 6[/tex]

[tex]2x = 3y[/tex]

[tex] \frac{x}{3} = \frac{y}{2} [/tex]

The answer is x=-4

I’ve attached my work explaining why below :)

x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

Two or more expressions with an Equal sign is called as Equation.

The given equation is -2(3x + 6) = 4(x + 7

We need to find the inequality which represents the solutions of the equation.

Let us solve for x

-2(3x + 6) = 4(x + 7)

Apply distributive property

-6x-12=4x+28

Take the variable terms on one side.

-6x-4x=28+12

-10x=40

Divide both sides by 10

x=-4

Hence, x≤-4 is the inequality represents all the solutions of -2(3x + 6) = 4(x + 7)

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Answer:

2.371

Step-by-step explanation:

subtract 8.63 to 11.001

Answer:

23%

Step-by-step explanation:

1) Find the area of the container. (20*8*9.9)

2) Divide 359 by 1584 (the area) to find the percent

3) Round up the percent and you get 23%.

Answer:

d~~12.65

Step-by-step explanation:

The table of values for the functions f(x) = x^2 + 1, g(x) = f(x - 5) and h(x) = f(x+3) is:

[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]

The equations of the functions are given as:

[tex]f(x) = x^2 + 1[/tex]

[tex]g(x) = f(x - 5)[/tex]

[tex]h(x) = f(x+3)[/tex]

For function f(x), we have:

f(-2) = (-2)^2 + 1 = 5

f(-1) = (-1)^2 + 1 = 2

f(0) = (0)^2 + 1 = 1

f(1) = (1)^2 + 1 = 2

f(2) = (2)^2 + 1 = 5

For function g(x), we have:

g(-2) = f(-2 - 5) = f(-7) =  (-7)^2 + 1 = 50

g(-1) = f(-1 - 5) = f(-6) =  (-6)^2 + 1 = 37

g(0) = f(0 - 5) = f(-5) =  (-5)^2 + 1 = 26

g(1) = f(1 - 5) = f(-4) =  (-4)^2 + 1 = 17

g(2) = f(2 - 5) = f(-3) =  (-3)^2 + 1 = 10

For function h(x), we have:

h(-2) = f(-2 + 3) = f(1) =  (1)^2 + 1 = 2

h(-1) = f(-1 + 3) = f(2) =  (2)^2 + 1 = 5

h(0) = f(0 + 3) = f(3) =  (3)^2 + 1 = 10

h(1) = f(1 + 3) = f(4) =  (4)^2 + 1 = 17

h(2) = f(2 + 3) = f(5) =  (5)^2 + 1 = 26

Substitute the above values in the blank table.

So, we have:

[tex]\left[\begin{array}{cccccc}x&f(x)&x&g(x)&x&h(x)\\-2&5&-2&50&-2&2\\-1&2&-1&37&-1&5&0&1&0&26&0&10&1&2&1&17&1&17&2&5&2&10&2&26\end{array}\right][/tex]

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area of circle:

π * radius²

π * 2²

4π in²

area of rectangle:

length * width

20 * 4

80 in²

total area:

4π in² + 80 in²

93 in²

area of triangular prism:

( base length * perpendicular height * length ) ÷ 2

( 12.6 * 1.6 * 10.75 ) ÷ 2

216.72 ÷ 2

108.36 mm³

Answer:

The sum of squares is the sum of the square of variation, where variation is defined as the spread between each individual value and the mean. To determine the sum of squares, the distance between each data point and the line of best fit is squared and then summed up. The line of best fit will minimize this value.

Answer:

1 and 2/8 yards of material used

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

By order of operations, in this case, we first have to solve exponents and THEN multiply by 3.

Therefore, this equation is false.

Answer:

False

Step-by-step explanation:

4^2=16

4^2=163x16=48

4^2=163x16=4848=144

4^2=163x16=4848=144The numbers dont match.

4^2=163x16=4848=144The numbers dont match.Hence the equation is false.

Answer:

D) I, III, and V

Step-by-step explanation:

Edge

Answer:

Jace is correct they can use their loaves of bread to show 1/2 is less than 1/3. Because they have 2 loaves of bread

The lengths of the three pencils form a right-triangle, and the two-step problem is:

The lengths of the pencils are given as:

6cm, 8cm and 10cm

Using the Pythagoras theorem, we have:

6^2 + 8^2 = 10^2

Evaluate the exponents

100 = 100

Hence, the lengths of the three pencils form a right-triangle

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Answer:

B

Step-by-step explanation:

Because you will divide U in X the give you correct answer.

Answer:

Fraction: [tex]2\frac{1}{2}[/tex]

Decimal: 2.5

Step-by-step explanation:

Divide the total number of pizzas by the number of tables.

[tex]\frac{25}{10} = \frac{5}{2} = 2\frac{1}{2} = 2.5[/tex]

Answer:

.333 pounds hope this helps

Answer:

D

Step-by-step explanation:

I hope this helps!

Answer:

B

Step-by-step explanation:

Imagine a mirror at the Y-axis, the two triangles will be mirror-image of each other.  So the CORRECT answer is B. Reflection over the Y axis

We have the given indefinite integral ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{x+1}{x(xe^{x}+2)}dx}[/tex]

We will use substitution hence to solving this integral

Now , put ;

[tex]{:\implies \quad \sf e^{x}=u}[/tex]

So that :

[tex]{:\implies \quad \sf dx=\dfrac{du}{u}\quad and\quad log(u)=x}[/tex]

Now , putting the values in the integral , it can be written as ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{log(u)+1}{log(u)\{ulog(u)+2\}}\times \dfrac{du}{u}}[/tex]

Now , we will again use substitution method for making the integral easy. So put ;

[tex]{:\implies \quad \displaystyle \sf ulog(u)+2=v}[/tex]

So that ;

[tex]{:\implies \quad \displaystyle \sf du=\dfrac{dv}{log(u)+1}\quad and\quad ulog(u)=v-2}[/tex]

Now , we have ;

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{\cancel{\{log(u)+1\}}}{log(u)v}\times \dfrac{dv}{\cancel{\{log(u)+1\}}u}}[/tex]

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v\{ulog(u)\}}}[/tex]

Now , putting the value of ulog(u) = v - 2

[tex]{:\implies \quad \displaystyle \sf \int \dfrac{dv}{v(v-2)}}[/tex]

Now , using partial fraction decomposition , ths given integral can be further written as ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\int \left(\dfrac{1}{v-2}-\dfrac{1}{v}\right)dv}[/tex]

Now ,as integrals follow distributive property. So ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}\left(\int \dfrac{1}{v-2}dv-\int \dfrac{1}{v}dv\right)}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}(log|v-2|-log|v|)+C}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{v-2}{v}\bigg| +C}[/tex]

Putting value of v ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{ulog(u)+2-2}{ulog(u)+2}\bigg| +C}[/tex]

Now, putting value of u ;

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{e^{x}log(e^{x})}{e^{x}log(e^{x})+2}\bigg| +C}[/tex]

[tex]{:\implies \quad \displaystyle \sf \dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}[/tex]

[tex]{:\implies \quad \therefore \displaystyle \underline{\underline{\int \bf \dfrac{x+1}{x(xe^{x}+2)}dx=\dfrac{1}{2}log\bigg|\dfrac{xe^{x}}{xe^{x}+2}\bigg| +C}}}[/tex]

The volume of the cylinder is between 5 and 6 gallons.

A cylinder is a three-dimensional shape that is made up of a prism with a circular base.

Volume of a cylinder = nr^2h

Where:

22/7 x 28 x (15^2) = 19,800 cubic centimeters

First convert the volume to liters = 19,800 / 1000 = 19.8

Now convert to gallons =  19.8 / 3.785 = 5.23 gallons

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Answer:

x = y the answer is this...

The function f(x) = x^2 is a quadratic function

The graph is (D) decreasing the increasing​

The function is given as:

f(x) = x^2

From the graph of the function, we can see that the function values decreases then increases.

Hence, the statement that describes the graph is (D) decreasing the increasing​

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