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The center of the circle is (13, 2)

The radius of the circle is 9

To find the center and radius of the circle described by the equation:

(x + 13)² + (y + 2)² = 81

We can compare with the standard form of the equation of the circle which is

(x - h)² + (y - k)² = r²

it can be deduced that

-h = 13, h = -13

-k = 2, k = -2

r² = 81, r = 9

This is the equation for a circle with center at (13, 2) and radius 9. So the center of the circle is (13, 2) and the radius is 9.

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Answer:

Center = (-13,-2)
Radius = 9

Translating shape A by the vector \((^1_4)\) means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)

Transformation is the movement of a point from its initial point to a new location. Types of transformation are reflection, rotation, translation and dilation.

Let us assume that the vertices of shape A is at A(3, 3), B(6, 3), C(6, 1) and D(3, 1)

Translating shape A by the vector \((^1_4)\) means translating 1 unit right and 4 unit up to get A'(4, 7), B'(7, 7), C'(7, 5) and D'(4, 5)

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Answer:

Step-by-step explanation:

There are 360° of measure in a quadrilateral. By the definition of a parallelogram, we know that the angle opposite the labeled angle will have the same measure as that labeled angle.

So, 12x + 12x + 8x + 8x = 360

Simplifying all the x's gives us:

40x = 360

Divide by 40

x = 90

Now, we check this

40 (90) = 360

360 = 360 ✅

Answer:

y = -x/2 -1/2

Step-by-step explanation:

\(x + 2y + 1 = 0\\\)

Write in the y=mx+b form

\(2y =-x-1+0\\2y =-x-1\)

Divide both sides by 2

\(\frac{2y}{2} =\frac{-1x}{2} -\frac{1}{2} \\\\y = -\frac{x}{2} -\frac{1}{2}\)

Answer:4

Step-by-step explanation:because 4

Answer:

D

Step-by-step explanation:

Answer:

54 grams

Step-by-step explanation:

To hard to explain.

Answer: A

Step-by-step explanation: I am a big brain pro

Answer:

(c).

Step-by-step explanation:

h(t) = - 16 t² + 80 t

Coordinates of the vertex are:

t = - \(\frac{80}{2(-16)}\) = \(\frac{5}{2}\) = 2.5 sec.

h = - 16(2.5)² + 80(2.5) = - 100 + 200 = 100 ft.

Answer:

y = 2x-7

Step-by-step explanation:

I'm not really sure this is the slope-intercept form, as I've never called it like that before, but if it is, there you go.

Answer:

\(\huge\boxed{\sf y = 2x - 7}\)

Step-by-step explanation:

Given equation is:

2x - y = 7

Add y to both sides

2x = 7 + y

Invert the equation

7 + y = 2x

Subtract 7 to both sides

y = 2x - 7

This is the required equation in slope-intercept form y = mx + b where m is slope and b is y-intercept.

\(\rule[225]{225}{2}\)

Hope this helped!

Answer:

The 3

Step-by-step explanation:

The correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

We know that there are 40 students at summer camp who are divided into two groups for either swimming or hiking. Each camper flips a coin, where heads represents swimming and tails represents hiking. The outcome frequency for swimming is 16 and for hiking is 24.
To compare the probabilities, we need to first understand the difference between theoretical probability and experimental probability. Theoretical probability is the expected probability of an event occurring based on mathematical calculations and assumptions, whereas experimental probability is the actual observed probability of an event occurring based on data from experiments or observations.
Option 1 states that the theoretical probability of swimming is one half, but the experimental probability is 24 over 40. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is false.
Option 2 states that the theoretical probability of swimming is one half, but the experimental probability is 16 over 40. This statement is correct because the theoretical probability of swimming is 50%, which is equal to one half, and the experimental probability of swimming is also 40%, which is equal to 16 over 40. Therefore, this option is true.
Option 3 states that the theoretical probability of swimming is 16 over 24, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 16 over 24, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
Option 4 states that the theoretical probability of swimming is 24 over 40, but the experimental probability is one half. This statement is incorrect because the theoretical probability of swimming is actually 50%, which is not equal to 24 over 40, and the experimental probability of swimming is also 40%, which is not equal to one half. Therefore, this option is false.
In conclusion, the correct statement is that the theoretical probability of swimming, P(swimming), is one half, but the experimental probability is 16 over 40.

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Answer:

Me: 60

Zayn and Attia: 6

Step-by-step explanation:

12 = 2 × 2 × 3

20 = 2 × 2 × 5

LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60

My number is 60.

Zayn's and Attia's numbers are 6.

Answer:

Translated according to the rule (x, y) =>(x+8, y+ 2) and reflected across the x- axis

Answer:

f

(

x

)

=

2

x

−

2

−

5

f

x

=

2

x

+

2

+

5

f

x

=

2

x

−

10

−

f

x

=

2

x

+

11

Step-by-step explanation:

Answer: B. f(x) = (x + 1)2 + 5 

Answer:

-2 | 7

0 | -1

3 | -13

-1 | 3

Step-by-step explanation:

i just did this question

Answer:

=-26

Step-by-step explanation:

f(n) = 7n – 5

Let n = -3

f(-3) = 7*(-3) – 5

Multiply first

     = -21-5

     =-26

Answer:

Step-byHow do I calculate the mean?

The mean can be calculated only for numeric variables, no matter if they are discrete or continuous. It's obtained by simply dividing the sum of all values in a data set by the number of value

-step explanation:

46+57+66+63+49+52+61+68= 462/8 the total number of observation

the answer 57

Answer: A

because slope are

\(\rightarrow\)Square root of 9 is a whole number that is multiplied by itself to get the original number. The actual value of square root of 9 is 3.

√9 = ±3

\(\rightarrow\)If we square +3 or -3, the resulting value will be equal to 9.

\(\sf{(+3)^2 = 9}\)

\(\sf{(-3)^2 = 9}\)

\(\rightarrow\)Number 9 is an odd number and not a prime number. Prime numbers have only two factors, 1 and the number itself. But as we know, 9 have three multiple factors, 1, 3 and 9 itself. Thus, we can write the number 9 in the form of multiple as;

\(\rightarrow\)You know that number 9 is a multiple of 3 or when 3 is multiplied by itself, we get the number 9. Therefore, we can write the square root of 9 as;

➾\(\sf{\sqrt{9}}\)

➾\(\sf{\sqrt{3×3}}\)

➾\(\sf{\sqrt{3^2}}\)

\(\rightarrow\)The square cancels the square root of a number. Therefore, if we cancel the square root with a square in the above expression, we get,

➾\(\sf{\sqrt{9}}\) = ±3

__________________________________

Hope it helps you:)

Based on the amount the investment would pay at the end of next year, and the market interest rate, C. ​Yes, because the investment will yield $95,040 more than putting the money in a bank.

The investment of $220,000 at the market rate of 8% would earned:

= 220,000 x 8%
= $17,600

The amount that the investment would make instead is:

= 332,640 - 220,000

= $112,640

The difference is:

= 112,640 - 17,600

= $95,040

In conclusion, the investment should be made.

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The values of x for which f(x) = 7 are x = 61 and x = 21.

To find the values of x for which f(x) = 7, we can set up the equation and solve for x.

The given function is f(x) = 0.5|x - 41| - 3.

Setting f(x) equal to 7, we have:

0.5|x - 41| - 3 = 7.

First, let's isolate the absolute value term:

0.5|x - 41| = 7 + 3.

0.5|x - 41| = 10.

To remove the absolute value, we can consider two cases:

Case: (x - 41) is positive or zero:

0.5(x - 41) = 10.

Multiplying both sides by 2 to get rid of the fraction:

x - 41 = 20.

Adding 41 to both sides:

x = 61.

So x = 61 is a solution for this case.

Case: (x - 41) is negative:

0.5(-x + 41) = 10.

Multiplying both sides by 2:

-x + 41 = 20.

Subtracting 41 from both sides:

-x = -21.

Multiplying both sides by -1 to solve for x:

x = 21.

So x = 21 is a solution for this case.

Therefore, the values of x for which f(x) = 7 are x = 61 and x = 21.

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The corporate team-building event will cost $1224 if there are 72 attendees.

Given, the corporate team-building event will cost $833 if it has 49 attendees.

We have to find the cost if there are 72 attendees,

So, according to the question

49 attendees = $833

1 attendee = 833/49

72 attendees = 72×833/49

72 attendees = 1224

Hence, the corporate team-building event will cost $1224 if there are 72 attendees.

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Answer:

I think it would be 27

Step-by-step explanation:

because 8 is 11 less than 19 and you would subtract 11 from 38

The derivative of the function cos(xº) in radians is y' = -sin(xπ/180)

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

cos(xº)

Changing the degree into radian, we have

cos(xπ/180)

Express as a function

So, we have

y = cos(xπ/180)

When the cosine function is differentiated, we have

y' = -sin(xπ/180)

Hence, the differentiated function is y' = -sin(xπ/180)

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49 is the smallest possible value of x.

Given: x, y, and z are three perfect square numbers.

What is the least x that can be?

Currently, we have three numbers by the stipulation:

x > y > z > 0

and AP has these figures.

Let's now list every perfect square from 1 to 10 in the following order: 1, 4, 9, 16, 25, 36, 49, 64, 81, and 100.

As a result, we can observe that 25 is equal to the product of 1 plus 49.

The possible outcomes are 1, 25, and 49.

If x = 49 and z = 1, then

x + z / 2 = y

49 + 1 / 2 = y

y = 50 / 2

y = 25

Y is therefore 25 and X is 49.

As a result, 49 is the lowest value of x that can exist.

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The solutions of the equation x³ + 5x² = - x² + 5x + 3 when solved graphically is x = - 0.41, 1.09.

Draw a graph for each side, or component, of the equation and check to see where the curves intersect or are equal, to solve an equation graphically. The answers to the equation are the x values of these places.

Consider the equation,

x³ + 5x² = - x² + 5x + 3

Solving Equations Graphically:

The solution(s) of the equation f(x) = g(x) are the values of x where the graphs of f and g intersect.

Therefore,

f(x) = x³ + 5x² and g(x) = - x² + 5x + 3

By graphing the function we find the intersection of the two functions.

Hence, the graphs intersect each other at ( - 0.411, 0.776) and ( 1.092, 7.268).

Therefor,e the solution of the equation x³ + 5x² = - x² + 5x + 3 is x = - 0.41 and x = 1.09.

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Answer:

(x^3 +8)/(x+2) = x^2 -2x +4

Step-by-step explanation: