The midpoint of segment AB is (4, 2). The coordinates of point A are (2, 7). Find the coordinates of point B.

A) (5, 3)

B) (6, -3)

C) (2, -5)

D) (6, -5)

Answer:

C. 17

Step-by-step explanation:

Distance formula:

[tex] \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } \\ \\ = \sqrt{ {(8 - 0)}^{2} + ( {15 - 0})^{2} } \\ \\ = \sqrt{ {(8)}^{2} + {(15)}^{2} } \\ \\ = \sqrt{64 + 225} \\ \\ = \sqrt{289} \\ \\ = 17[/tex]

The correct answer is C. 17 units.

To find the distance between two points on the coordinate plane, one can use the distance formula derived from the Pythagorean theorem. The distance formula is given by:

[tex]\[ d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} \][/tex]

where [tex]\( (x_1, y_1) \) and \( (x_2, y_2) \)[/tex] are the coordinates of the two points.

Given the points [tex]\( (0, 0) \) and \( (8, 15) \)[/tex], we can substitute these values into the formula:

[tex]\[ d = \sqrt{(8 - 0)^2 + (15 - 0)^2} \] \[ d = \sqrt{8^2 + 15^2} \] \[ d = \sqrt{64 + 225} \] \[ d = \sqrt{289} \] \[ d = 17 \][/tex]

Therefore, the distance between the points[tex]\( (0, 0) \) and \( (8, 15) \) is 17[/tex]units.

Answer:

2.34

Step-by-step explanation:

Nope, it is 2.34 because you round it off and the 2 stays the same the three does to but the other 3 turns into a 4 because the number next to it which is a 7 is 5 and higher so that makes it 2.34 this would make sense from a mathematician even if my profile doesn't say it.

Answer:

The answer is $2

step-by-step explanation:

Answer:

median : 73

mean : 71.5

mode : 68 and 85 (?)

range: 35

Step-by-step explanation:

50, 50, 68, 68, 68, 78, 78, 85, 85, 85

median:  order numbers least to greatest. add the two middle numbers, 68 and 78. divide by 2. 68 + 78 = 142 ,, 142 ÷ 2 = 73

mean: add all the numbers, then divide by the amount of numbers. 50 + 50 + 68 + 68 + 68 + 78 + 78 + 85 + 85 + 85 = 715. 715 ÷ 10 = 71.5

mode: the number that occurs the most,,theres two whoops 68 and 85

range: subtract the smallest number from the largest. 85 - 50 = 35

Answer:   126

Step-by-step explanation:  42 times 6 equals 252, 252 divided by 2 equals 126

Question:

Jordan is cutting a 2 meter by [tex]1\frac{1}{4}[/tex] meter piece of rectangular paper into two pieces along its diagonal. what is the area of each of the pieces?

Answer:

Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].

Solution:

Length of the paper = 2 m

Width of the paper =  [tex]1\frac{1}{4}[/tex] m =  [tex]\frac{5}{4}[/tex] m

Area of the rectangle = length × width

                                    [tex]$=2\times \frac{5}{4}[/tex]

                                    [tex]$= \frac{5}{2} \ m^2[/tex]

Diagonal of a rectangle divides it into two equal parts.

Area of each piece = Area of the rectangle ÷ 2

                                [tex]$=\frac{ \frac{5}{2}}{2}[/tex]

                                [tex]$=\frac{5}{4} \ m^2[/tex]

                                [tex]$=1 \frac{1}{4} \ m^2[/tex]

Area of each piece of paper is [tex]1 \frac{1}{4} \ m^2[/tex].

Final answer:

The volume of a right rectangular prism made from 8 small cubes with an edge length of 1/5 inch each is 8/125 cubic inches.

Explanation:

The question asks for the volume of a right rectangular prism made up of 8 small cubes, with each cube having an edge length of 1/5 inch. To find the volume of the right rectangular prism, we must first understand the volume of a single cube, which is found by multiplying the length, width, and height of the cube. Since each side of a cube is equal, the volume of one cube is (1/5 inch) × (1/5 inch) × (1/5 inch), which equals 1/125 cubic inches.

Next, the volume of the entire prism, which consists of 8 such cubes, is calculated by multiplying the volume of one cube by 8. Therefore, the total volume of the prism is (1/125 cubic inches) × 8, which equals 8/125 cubic inches.

Answer:

30:36

10 : 12

15 : 18

20 : 24

25 : 30

There are sooo many more but here are a few!

Hope this helped.

The total surface area is given by:

The base of the cylinder is a circle with radius 5cm, so its area is

[tex]A=\pi r^2=25\pi[/tex]

The lateral surface of the cylinder is a rectangle whose base is the circumference of the base circle, and whose height is the height of the cylinder. So, its area is

[tex]A=b\cdot h=2\pi r\cdot h = 10\pi\cdot 8=80\pi[/tex]

Finally, the surface of a sphere is given by

[tex]A=4\pi r^2[/tex]

so, half that surface will be

[tex]A=2\pi r^2=50\pi[/tex]

And the total surface area will be the sum of the three areas:

[tex]A=25\pi+80\pi+50\pi = 155\pi[/tex]

Answer:

Total surface area of the figure[tex]=486.7cm^2[/tex]

Step-by-step explanation:

Total surface area of the figure= Surface area of cylinder + Area of the top hemisphere

[tex]r= 5cm\\\\h= 8cm[/tex]

Area of the cylinder with the side walls and the the bottom:

          [tex]A=(2*\pi* r*h)+(\pi *r^2)[/tex]

             [tex]=(2*3.14*5*8)+(3.14*5*5)\\\\ =251.2+78.5\\\\ = 329.7 cm^2[/tex]

Area of the top hemisphere:

                                               [tex]2*\pi *r^2[/tex]

                               [tex]=2*3.14*5*5[/tex]

  Area of the top hemisphere= [tex]157 cm^2[/tex]

Total surface area of the figure [tex]= 329.7+157\\\\[/tex]

                                      [tex]=486.7cm^2[/tex]

Answer:

I had this on my quiz hold on.. is is 48.

Step-by-step explanation:

Answer:

B) Point G

Step-by-step explanation:

Because point G is equidistant to all of the angles, and cuts all of the sides in half

Option  A and D will not get to the required point

Step-by-step explanation:

Step 1 :

a)

Start at origin, go 112 units up and then go 4 unit to the right.

Starting at the origin, 112 units up gives y = 112

then 4 spaces to the right gives x = 4

So the point obtained is (4,112)

Hence option A will not get to the required point

Step 2 :

b)

Starting at the origin, go 4 spaces up and then 112 spaces to the right.

Starting at the origin , 4 spaces up gives y = 4

112 spaces to the right gives x = 112

So we get the point as (112,4)

Option B goes to the required point

Step 3:

c)

Starting at the origin, go 112 spaces to the right and then 4 spaces up.

Starting at the origin, 112 spaces to the right gives x = 112

4 spaces up gives y = 4

We get to the point (112,4)

Hence option C gets to the required point

Step 4:

d)

Doing the procedure in option D gives y = 4, and x as between 1 and 2

Hence this will not get to the required point

Step 5 :

Option  A and D will not get to the required point

Answer:

a)Starting at the origin, go 1 1/2 up units up and then 4 spaces to the right

Step-by-step explanation:

no

Answer:

(- 6, - 16 )

Step-by-step explanation:

Given the 2 equations

- 4x + y = 8 → (1)

2x - y = 4 → (2)

Adding the 2 equations term by term will eliminate the term in y

- 2x = 12 ( divide both sides by - 2 )

x = - 6

Substitute x = - 6 into either of the 2 equations and soilve for y

Substituting x = - 6 into (2)

2(- 6) - y = 4

- 12 - y = 4 ( add 12 to both sides )

- y = 16 ( multiply both sides by - 1 )

y = - 16

Solution is (- 6, - 16 )

Answer:

  infinite solutions

Step-by-step explanation:

Eliminate parentheses and collect terms:

  3x -12 +5 -x = 2x -7

  2x -7 = 2x -7

This is true for any value of x. There are an infinite number of solutions.

Check the picture below.

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

well, by the definition of a derivative, the slope at the point is f'(a), and any tangent line going through it will also have the same exact slope, keeping in mind that a straight line has a constant slope.

Answer:

Area = 30 square units

Step-by-step explanation:

First, let's try to visualize the problem:

(-2, 4) • | • (3, 4)

|

|

___________|___________

|

(-2, -2) • | • (3, -2)

|

|

Let's find the side lengths;

(-2) - 3 = |-5|, the Base of the rectangle is 5 units.

4 - (-2) = 6, the Height of the rectangle is 6 units.

The formula for area of a rectangle is B × H.

5 × 6 = 30, so the area of the rectangle is 30 units.

Final answer:

To express 0.15 as a fraction, write it as 15/100 and simplify by dividing both the numerator and denominator by 5 to get 3/20 in simplest form.

Explanation:

To express the decimal 0.15 as a fraction in its simplest form, we start by writing it as a fraction with a denominator that reflects its place value. Since 0.15 has two digits after the decimal point, its denominator should be 100. Hence, we have:

0.15 = 15/100

Now, we need to reduce this fraction to its simplest form by canceling equivalent terms in the numerator and the denominator. We notice that both 15 and 100 are divisible by 5. Dividing the numerator and the denominator by 5, we get:

15 ÷ 5 = 3

100 ÷ 5 = 20

Therefore, the fraction 15/100 simplifies to 3/20, which is in its simplest form.

Final answer:

To simplify 0.15 as a fraction, convert it to 15/100 and then divide both numerator and denominator by 5 to get the simplest form, which is 3/20.

Explanation:

To express 0.15 as a fraction in simplest form, we start by recognizing that 0.15 is the same as 15 hundredths, which can be written as 15/100. To simplify this fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. Both 15 and 100 can be divided by 5, which would give us 3 in the numerator and 20 in the denominator after dividing both by 5. Therefore, the simplest form of the fraction is 3/20.

Answer:D

Step-by-step explanation:

The United States Environmental protection agency (EPA) issues the Air Quality Index (AQI) daily report to communicate to the public the quality of the surrounding air( clean or bad). It also forecast how the quality of air in the environment will be in the nearest future.

Answer:

4.5

Step-by-step explanation:

54 divided by 12= 4.5

12 becuase there are 12 months in a year.

Answer:

4.5 i did the test on got it right

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Here it is: 5.8*2.4=13.92

Answer:

6.96

Step-by-step explanation:

2.4 x 5.8 is 13.92, but since it is a triangle you must divide it by 2. Which makes the answer, 6.96.

Answer:

N=15 O=17

Step-by-step explanation:

since we know this is a rectangle and the lines are diagonals we can assume they create right triangles. For line N we set up the Pythagorean Theorem which is a^2 + b^2 = c^2 and to find N we plug in 9 for a and 12 for b. 9^2 + 12^2 = c^2 c^2 = 225 so now we find the square root of c^2 so c or in this case N = 15, now we repeat this same exact sequence for O but N is now our base and 8 is our height of the triangle so we will plug in 8 for a and 15 for b: 8^2 + 15^2 = c^2 c^2 = 289 and the square root of 289 is 17.

Check the picture below.

Answer:

5 + 2 x 7 + 6

Step-by-step explanation:

Answer:

A: 7*(5-2)+6

explanation: it's really easy

Answer:

1/3

Step-by-step explanation:

so we are picking 40 blues from total number of buttons 120.

40 divided by 120 is 1 over 3.

Answer:

4y

Step-by-step explanation:

Find the prime factors of each term in order to find the greatest common factor (GCF).

Hope this helps!!! Brainliest is appreciated.

Answer:

In mathematics, the greatest common factor (GCF), also known as the greatest common divisor, of two (or more) non-zero integers a and b, is the largest positive integer by which both integers can be divided. It is commonly denoted as GCF(a,

Step-by-step explanation:

Check the picture below.

Make sure your calculator is in Degree mode.

The horizontal distance from the wall to the base of the ladder is 6.3-foot and it can be determined by using trigonometric ratios.

Given that,

A 15-foot ladder leans against a wall and makes an angle of 65° with the ground.

We have to determine,

What is the horizontal distance from the wall to the base of the ladder?

According to the question,

Let, the horizontal length be x,

The length of the hypotenuse is 15-foot.

And the angle is 65 degrees.

Then,

The horizontal distance from the wall to the base of the ladder is,

[tex]\rm Cos\theta = \dfrac{Horizontal \ distance}{Perpendicular}\\\\Cos65 = \dfrac{x}{15}\\\\x = Cos65 \times 15\\\\x = 0.42 \times15\\\\x = 6.3 \ foot[/tex]

Hence, The horizontal distance from the wall to the base of the ladder is 6.3-foot.

To know more about Trigonometry click the link given below.

https://brainly.com/question/13710437

Answer:

Step-by-step explanation:

Label the mailbox viewpoint, the top of the first building, and the top of the second building points M, A, and B, respectively.

Consider the triangle MAB. You are told length MA is 600 ft, and length AB is 800 ft. Side AB is opposite the 67° angle at M, so we can use the Law of Sines to find other measures of that triangle. Specifically, we want to know the distance MB.

  sin(B)/MA = sin(M)/AB

  sin(B) = (MA/AB)sin(M) = 600/800·sin(67°) ≈ 0.690379

  B ≈ 43.66°

Then the angle at A is ...

  180° -67° -43.66° = 69.34°

and the side MB can be found from ...

  MB/sin(A) = AB/sin(M)

  MB = (sin(A)/sin(M))AB = sin(69.34°)/sin(67°)·800 ≈ 813.2 . . . feet

__

Now, label points on the ground below A and B as A' and B'. This problem is asking for the heights AA' and BB'. Each of these is opposite the angle of elevation to points A and B, respectively, so can be found using the sine relation:

  sin(elevation to A) = AA'/MA

  AA' = MA·sin(elevation to A) = 600·sin(53°) ≈ 479.2 . . . ft

Similarly, ...

  BB' = MB·sin(elevation to B) = 813.2·sin(60°) ≈ 704.2 . . . feet

The first building is 479.2 ft tall; the second is 704.2 ft tall.

Answer:

The radius is 75m

Answer:

[tex]2\pi \times r = 150 \\ 6.2831r = 150 \\ \frac{6. 2831r}{6.2831} = \frac{150}{6.831} \\ r = 23.87cm[/tex]

Answer:

x= -0.4385 or -4.5615

Step-by-step explanation:

x²+5x+2=0

Using almighty formula;

a=1, b=5, c=2

x = [ -b± √( b^2 - 4ac)]/2a

x= -5±√(25-8)/2

x=(-5±4.123)/2

Therefore x=(-5+4.123)/2 or (-5-4.123)/2

x= -0.4385 or -4.5615

The solutions are [tex]\(x = \frac{{-5 + \sqrt{17}}}{2}\) and \(x = \frac{{-5 - \sqrt{17}}}{2}\).[/tex]

To find the solution of the equation [tex]\(x^2 + 5x = -2\), we need to solve for \(x\).[/tex]

Let's rearrange the equation to bring all terms to one side:

[tex]\[x^2 + 5x + 2 = 0\][/tex]

Now, we can solve this quadratic equation by factoring, completing the square, or using the quadratic formula. Let's use the quadratic formula:

[tex]\[x = \frac{{-b \pm \sqrt{{b^2 - 4ac}}}}{{2a}}\][/tex]

In our equation, [tex]\(a = 1\), \(b = 5\), and \(c = 2\).[/tex]

[tex]\[x = \frac{{-5 \pm \sqrt{{5^2 - 4(1)(2)}}}}{{2(1)}}\]\[x = \frac{{-5 \pm \sqrt{{25 - 8}}}}{2}\]\[x = \frac{{-5 \pm \sqrt{{17}}}}{2}\][/tex]

So, the solutions are:

[tex]\[x_1 = \frac{{-5 + \sqrt{{17}}}}{2}\]\[x_2 = \frac{{-5 - \sqrt{{17}}}}{2}\][/tex]

Thus,  [tex]\(x = \frac{{-5 + \sqrt{{17}}}}{2}\) or \(x = \frac{{-5 - \sqrt{{17}}}}{2}\). These are the solutions to the equation \(x^2 + 5x = -2\).[/tex]

Answer:

Each friend has 13 actions

Step-by-step explanation:

Let x represent the actions of each friends

5friends will have 5x actions

And each friend has 11 more actions which means 5(11)=55

It means 5x+55

The total of their actions is 120

It can be written as 5x+55= 120

To solve

5x+55=120

Substrate 55 from both sides

5x=120-55

5x=65

X=65/5

x=13

Which each friend has 13 actions

Final answer:

To model the problem, the equation 5X + 5(11) = 120 is used. Solving this equation leads to finding that the original number of action figures each friend had is X = 13.

Explanation:

Initially, each of the five friends has X action figures in their collection. After purchasing 11 more action figures each, they collectively have a total of 120 action figures. To represent this problem, we can set up an equation where 5 times the original number of action figures per friend, plus 5 times 11 (because each friend buys 11 more), equals 120. Thus, the equation is:

5X + 5(11) = 120

To find the value of X, we need to solve the equation:

Multiply 5 times 11 to simplify the equation: 5X + 55 = 120

Subtract 55 from both sides of the equation: 5X = 120 - 55

Calculate the result on the right side: 5X = 65

Divide both sides by 5 to find X: X = 65 / 5

Thus, the original number of action figures each friend had is X = 13.

Answer:

B. 113.04 cm^2

Step-by-step explanation:

The area of a circle is:

a=[tex]\pi[/tex]r^2

Because we have the diameter, we need to find the radius.

d=2r

12=2r

Divide by 2 on both sides

r=6

Plug 6 in for "r" in the area formula.

a=[tex]\pi[/tex]r^2

a=[tex]\pi[/tex]6^2

a=36[tex]\pi[/tex]

a=36*3.14

a=113.04 cm^2

So the answer is choice B

Hope this helps!

MARK BRAILIEST !!!

Answer:

10 percent

600 - 500 = 100

100 divided by .10 = 10 %

Step-by-step explanation:

⭐ Answered by Kash ʕ •㉨• ʔ⭐

⭐ Brainliest would be appreciated!⭐

⭐ If you have questions, leave a comment, I'm happy to help! ⭐