A circle passes through point (−2, −1) and its center is at (2, −1). Which equation represents the circle?
A) (x − 2)2 + (y + 1)2 = 16
B) (x − 2)2 + (y − 1)2 = 16
C) (x + 2)2 − (y + 1)2 = 20
D) (x − 2)2 + (y + 1)2 = 20

The missing side length in the triangle with a hypotenuse of 85 and perpendicular of 84 is 13.

To find the missing side length a in the right triangle, you can use the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides.

So, in this case, we have:

[tex]\[ \text{hypotenuse}^2 = \text{perpendicular}^2 + \text{base}^2 \][/tex]

Given:

- Hypotenuse ( c ) = 85

- Perpendicular ( b ) = 84

- Base ( a ) = ?

Substituting the given values into the Pythagorean theorem equation:

[tex]\[ 85^2 = 84^2 + a^2 \][/tex]

[tex]\[ 7225 = 7056 + a^2 \][/tex]

Now, subtract 7056 from both sides:

[tex]\[ 169 = a^2 \][/tex]

To solve for a, take the square root of both sides:

[tex]\[ a = \sqrt{169} \][/tex]

a = 13

So, the missing side length ( a ) is 13.

Therefore, the correct answer is option D: 13.

Answer: x=3

Step-by-step explanation:

2 times (x)= 2x + 6 = 18 (equation) Then you multiply the 2 • 6 = (12) then subtract the 18-12 and you get 6 then you go back to the 2x and think what would (x) have to be for me to get the answer (6) then you think 2x3 = 6 then you get your answer of (3)

I hope this works for you bc this was the way I was taught.

Answer:

B, C, E are true

Step-by-step explanation:

A = l*w

The original rectangle is 6 by 4  with A = 24

The 1st enlargement = 6*3 by 4*3

                                   18 by 12  with A = 216

The second enlargement is 18*3 by 12*3

                                              54 by36 with A =1944

A.The area of the first enlargement is 72 square inches.

False it is 216

B.The area of the second enlargement is 1,944 square inches.

True

C.The area of the second enlargement is (3 squared) squared times the original area.

216/24 =9  True

D.The area of the second enlargement is 3 times the area of the first enlargement.

1944/24 = 9  False

E.The ratio of the area of the first enlargement to the area of the original equals the square of the scale factor.

The scale factor is 3 3^2 =9 216/24 =9

True

Answer:

=6/20

or 3/10

Step-by-step explanation:

3/4 ÷ 2 1/2

= 3/4 ÷5/2

using keep change flip

3/4 x 2/5

=6/20

or 3/10

Answer:

3/10

hope i helped

Answer:

9.647×10^7

Step-by-step explanation:

The decimal is moving to the left so the 7 is positive.

Answer:

x=5

Step-by-step explanation:

3x+8=2x+13

x+8=13

x=5

Answer:

(-1, 9)    (he x value is placed first).

Step-by-step explanation:

y = -3x + 6

y = 9

Substitute y = 9 into the first equation:

9 = -3(x) + 6

-3x = 9 - 6

-3x = 3

x = -1.

To solve for n when divided by negative two equals negative sixteen (n/-2 = -16), we multiply both sides by -2 to isolate n, yielding n = 32.

To find the value of n, we need to follow the rule of signs for division which states that when a positive number is divided by a negative number, the result is negative (and vice-versa). So to solve n divided by negative two equals negative sixteen (n/-2 = -16), we need to multiply both sides of the equation by -2 to isolate n. The multiplication of -2 (a negative number) with -16 (also a negative number) will result in a positive outcome according to the multiplication rules for signs.

Step-by-step solution:

Therefore, the value of n is 32.

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Answer:

Area of a triangle formula is 1/2 x base x height

Area of the garden = 1/2 x 25 x 10 = 125 square feet.

1 bag covers 10 square feet, divide total area by 10"

125 / 10 = 12.5

She will need to buy 13 bags.

Answer:

IQR=4

Step-by-step explanation:

The expression [tex](-5/7)^8*(-5/7)^9[/tex] simplifies to [tex](-5/7)^{17[/tex] by adding the exponents, as multiplication of powers with the same base results in adding the exponents.

To simplify the expression [tex]\((-5/7)^8 \cdot (-5/7)^9\)[/tex], you can add the exponents since the bases are the same. When you multiply two powers with the same base, you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex]. Therefore, the expression simplifies to [tex]\((-5/7)^{17}\)[/tex]. When multiplying powers with the same base, like [tex]\((-5/7)^8\)[/tex] and [tex]\((-5/7)^9\)[/tex], you add their exponents. So, [tex]\(8 + 9 = 17\)[/tex].

This means that when you multiply these two expressions together, you end up with the base raised to the power of 17, which is [tex]\((-5/7)^{17}\)[/tex]. This is a fundamental property of exponents, where you can combine like terms to simplify expressions. In this case, the final expression represents the product of the two original expressions raised to the power of 17.

So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]

To simplify the expression [tex]$(-5 / 7)^8 \cdot(-5 / 7)^9$[/tex]  we can combine the bases and add the exponents since they have the same base:

[tex]$\begin{gathered}(-5 / 7)^8 \cdot(-5 / 7)^9=(-5 / 7)^{8+9} \\ =(-5 / 7)^{17}\end{gathered}$[/tex]

So, the simplified expression is [tex]$(-5 / 7)^{17}$[/tex]

Answer:

There fore the probability that the counters are blue is [tex]\frac{15}{39}[/tex]

Step-by-step explanation:

There are a total of 14 red counters and 39 in total. The total of red counter can be represented as a fraction of [tex]\frac{14}{39}[/tex]. To find out the number of blue counter we subtract 14 from 39. This gives us 25. This is [tex]\frac{15}{39}[/tex]. Therefore the probability that the counters are blue is

Answer:

25/39

Step-by-step explanation:

The total is 39

Red=14

So to determine blue,it will be

39-14=25

So blue will be 25

So to determine the probability for picking blue

It will be

25/39

Since there's no common number that can divide the two

The final answer is 25/39

Answer:

the answer is benito or 2

Step-by-step explanation:

Answer:

benito

Step-by-step explanation:

100% edge 2020! :)))

Answer : no solution

Step-by-step explanation:

The system of the equations have infinitely many solutions.

The solution of the equation means the value of the unknown or variable.

The linear equation of two variable is given below.

6x + 3y = –12

6x + 3y + 12 = 0  ...1

   –2x + 4 = y

2x + y – 4 = 0  …2

The standard equations are given as

a₁x + b₁y + c₁ = 0

a₂x + b₂y + c₂ = 0

Compare equation 1 and 2 with the standard equation. Then we have

a₁ = 6, b₁ = 3, c₁ = 12

a₂ = 2, b₂ = 1, c₂ = –4

If the ratio of the coefficient of x and y are different, then unique solution.

If the ratio of the coefficient of x and y are same, but constant term ratio is different, then no solution.

If the ratio of the coefficient of x and y and constant term is same, then infinitely many solutions.

a₁ / a₂ =  6/2 = 3

b₁ / b₂ =  3/1= 3

c₁ / c₂ =  12/(-4) = -3

Then the condition will be

a₁ / a₂ = b₁ / b₂ ≠ c₁ / c₂

The system of the equations have infinitely many solutions.

More about the solution of the equation link is given below.

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Answer:

v=23160.24

Step-by-step explanation:

v= r^2 * h * π

19.6 ^2 = 384.16                                                               r = d/2

384.16 * 19.2 * 3.14                                                          39.2 / 2 = 19.6

23160.24

Hope this isn't too confusing!

Answer:

28.5 units squared

Step-by-step explanation:

8x3 is the bottom rectangle and added 3x3x0.5 cuz it is a triangle. Add the areas and u get 4.5+24 or 28.5 units squared

Answer:

A : False

B : False

Step-by-step explanation:

A : The mode of a data set is whichever number comes up the most.

8 comes up the most times, so 8 is the mode.

B : The median is a number which is in the middle of a data set

This is the data set as a list of numbers :

2, 5, 5, 5, 6, 6, 8, 8, 8, 8

the two sixes are in the middle, if there are 2 numbers in the middle, add them together and divide by two,

6 + 6 = 12

12 / 2 = 6

6 is the median.

Final answer:

The question relates to data analysis in Mathematics, focusing on the mode and median within a data set, which cannot be determined without the provided figures. The median is the middle value in an ordered data set, while the mode is the most frequent value.

Explanation:

The subject of this question is Mathematics, specifically focusing on concepts related to data analysis such as mode, median, and box plots. Without the actual dot plot or box plot figures provided, we cannot verify the true or false nature of the statements provided. However, generally, the mode is the number that occurs most frequently in a data set, and the median is the middle number when the data set is ordered from least to greatest. To construct a box plot for a given data set, you would need to calculate the minimum, first quartile, median, third quartile, and maximum of the data. These five statistics are then used to create the box plot, which provides a visual representation of the data distribution.

When discussing the median in a box plot, it is the value that divides the data set into two equal halves. The mode in contrast, may or may not correspond to any of the box plot’s five statistical summaries; it entirely depends on the frequency of the individual values.

Answer:

Divided by 3

1

1/3

1/27

Step-by-step explanation:

Answer: Divide by 3, 1, 1/3, 1/27

Step-by-step explanation:

Answer:

The answer is A)

Step-by-step explanation:

A)-15+1=14

B)0+12=12

C)1+11=12

Answer:

s has an x-coordinate of 4

Step-by-step explanation:

the coordinate is (4,-5)

a. -7  < |-9|

b. 2 > -2

c, |-5| = |5|

Answer: A: <

B: >

C: =

Step-by-step explanation: that is the absolute value, you find the absolute value and then see which is bigger or smaller

The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards when using 3.14 for pi.

To calculate the perimeter of a semicircle with a diameter of 2 yards, we first need to find the radius, which is half of the diameter. Therefore, the radius (r) is 1 yard. Using the value of pi (π) as 3.14, the formula for the perimeter (P) of a semicircle is P = πr + 2r, where πr is the length of the semicircle's curved edge and 2r is the length of the diameter.

Plugging the radius into the formula, we get P = 3.14 × 1 yard + 2 × 1 yard. Simplifying this, we find P = 3.14 yards + 2 yards, which equals to 5.14 yards. Therefore, the perimeter of the semicircle is 5.14 yards.

Final answer:

The perimeter of a semicircle with a diameter of 2 yards is 5.14 yards, calculated by taking half the circumference of a full circle and adding the diameter.

Explanation:

To calculate the perimeter of a semicircle with a given diameter of 2 yards, we need to consider both the straight edge of the diameter and the curved edge of the semicircle.

The formula for the perimeter (P) of a full circle is P = πd, where π (pi) is approximately 3.14 and d is the diameter. Since we have a semicircle, we will take half of the circumference of the full circle and then add the diameter. So, the formula for the perimeter of the semicircle (P_semicircle) will be:

P_semicircle = (πd)/2 + d.

Let's plug in the values:

P_semicircle = (3.14 × 2 yards)/2 + 2 yards
P_semicircle = 3.14 yards + 2 yards
P_semicircle = 5.14 yards.

The perimeter of the semicircle is 5.14 yards.

Answer: 25% of 300 is x x is 75

Step-by-step explanation:

Answer:

37.7 inches

Step-by-step explanation:

[tex]C = 2\pi r = 2 \times 3.14 \times 6 = 37.68 \\ \\ \huge \: C \approx37.7 \: inches[/tex]

Answer:

it would be

bumblebee

mosquito

honey bee

Step-by-step explanation:

The insect wing pitch from lowest to highest is mosquito (600 flaps per second), honey bee (220 flaps per second), and bumblebee (145 flaps per second).

The insect wing pitch from lowest to highest would be as follows:

The mosquito has the highest wing pitch as it flaps its wings at 600 times per second, followed by the honey bee at 220 flaps per second, and the bumblebee at 145 flaps per second.

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Hello! Your answer is D. 130. I hope this helps and I hope that you have a nice day!

~Mika

Answer:

Option c: -v(t) = 25000(0.975)

Step-by-step explanation:

Kindly check the attached file for explanation

To represent the number of visitors to the Booneville History Museum t years after 1980, the correct function is D-v(t) = 25000(1.025).

To represent the number of visitors to the Booneville History Museum t years after 1980, we can use the formula v(t) = 25000(1 - 0.025)^t. This is because the number of visitors decreases by 2.5% each year. The term (1 - 0.025)^t represents the decay factor where t is the number of years after 1980.

Therefore, the correct function to represent the number of visitors to the Booneville History Museum t years after 1980 is D-v(t) = 25000(1.025).

Hope this will help u....

Answer:

$6.89

Step-by-step explanation:

Since she spent $4.69 and $5

She has the total amount of$16.58

So let's solve

4.69+5

9.69

So the amount spent will be deducted from the total amount in her account

16.58-9.69

6.89

So the amount left is $6.89

Answer:

x=9

Step-by-step explanation:

3.5x - 11 = 20.5

Add 11 to each side

3.5x - 11+11 = 20.5+11

3.5x = 31.5

Divide each side by 3.5x

3.5x/3.5 = 31.5/3.5

x =9

Answer:

x=9 (don't look at explanation)

Step-by-step explanation:

Let's solve your equation step-by-step.

3.5x−11=20.5

Step 1: Add 11 to both sides.

3.5x−11+11=20.5+11

3.5x=31.5

Step 2: Divide both sides by 3.5.

3.5x

3.5

=

31.5

3.5

x=9

Answer:

x=9

Answer:

The area of the pyramid’s base is 36 in².

The pyramid has 4 lateral faces.  

The surface area of each lateral face is 27 in².

Step-by-step explanation:

"Lateral" means side, so the lateral faces are triangles.

The base is the bottom, which is a square.

To calculate the area of the base, use the formula for area of a square.

[tex]A_{base} = s^{2}[/tex]

[tex]A_{base} = (6 in)^{2}[/tex]

[tex]A_{base} = 36 in^{2}[/tex]

To calculate the area of a lateral face, find the area of a triangle.

[tex]A_{lateral} = \frac{bh}{2}[/tex]

[tex]A_{lateral} = \frac{(6 in)(9 in)}{2}[/tex]

[tex]A_{lateral} = \frac{54 in^{2}}{2}[/tex]

[tex]A_{lateral} = 27 in^{2}[/tex]

In a pyramid, the number of lateral faces is the same as the number of sides in the base. The square base as 4 sides, so there are 4 lateral faces.

The area of the pyramid's base is 36 square inches. The pyramid has 4 lateral faces, each with a surface area of 27 square inches. The total surface area is 144 square inches.

Area of the Base :

Lateral Faces :

Surface Area of Each Lateral Face :

Total Surface Area :

Therefore, area of the pyramid's base is 36 square inches, the pyramid has 4 lateral faces, each with a surface area of 27 square inches and the total surface area is 144 square inches.