What is the length of BC? If the answer is not an integer, leave it in simplest radical form. The diagram is not drawn to scale.
O A. 13/2 ft
OB. 135 ft
C. 26 ft
D. 13 ft

Answer:

Step-by-step explanation:

You can either substitute (8, 3) into both equations as a test, or you can find the solution yourself.

Rewrite

- x + 4y = 4

- x + 3y = 1

as

- x + 4y = 4

+ x - 3y = -1

and combine like terms.  The result is y = 3.  Then -x + 4(3) = 4, or 8 = x.

Yes, (8, 3) is a solution of this SYSTEM.

Answer:

Mean: 17.6 Median: 18 Mode: N/A Range: 27

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

lines parallel to the y-axis are always vertical and begin with 'x ='

Answer:

x=2

Step-by-step explanation:

Hi there!

A line parallel to the y-axis would make it a vertical line. Vertical lines have the equation x=d, where d is the x-intercept (the value of x when y=0).

We also need to know that every point a vertical line passes through has the same x-coordinate. Therefore, because this line passes through the point (2,1), we know that the x-intercept is (2,0).

Therefore, the equation of the line would be x=2.

I hope this helps!

Answer:

we should prove this or solve only

Step-by-step explanation:

hope it is helpful to you

Answer:

x=6

Step-by-step explanation:

First, add x to each side.

72=-2x+84

Subtract 84 from each side

-12=-2x

Dive each side by -2

6=x

Answer:

x=6

Step-by-step explanation:

-1x+72=-3x+84

+3x on both sides

2x+72=84

subtract 72 on both sides

2x=12

divide by 2 on both sides

x=6

Given:

The given system of equations is:

[tex]2x+y=1[/tex]

[tex]x-2y=8[/tex]

To find:

The solution to this system of equations by graphing.

Solution:

We have,

[tex]2x+y=1[/tex]

[tex]x-2y=8[/tex]

The table of values for first equation is:

x       y

0      1

1      -1

Plot the points (0,1) and (1,-1) on a coordinate plane and connect them a straight line.

The table of values for second equation is:

x       y

0      -4

2      -3

Plot the points (0,-4) and (2,-3) on a coordinate plane and connect them a straight line.

The graphs of given equations are shown in the below figure.

From the below figure, it is clear that the lines intersect each other at point (2,-3). So, the solution of the given system of equations is (2,-3).

Therefore, the solution to this system of equations is:

x-coordinate: 2

y-coordinate: -3

Answer:

(x + 3)(x - 3)

Step-by-step explanation:

[tex] {x}^{2} - 9 \\ = {x}^{2} - {3}^{2} \\ = (x + 3)(x - 3)[/tex]

Answer:

4 edges

Step-by-step explanation:

the shape is a cube

Answer: 12

Step-by-step explanation:

Euler’s formula: F + V - E = 2

6 + 8 - E = 2

14 - E = 2

You find E by subtracting 14 with 2

14 - 2 = 12

E = 12

Answer:

(-8,0)

Step-by-step explanation:

X=-8+y equation 1

-3x-3y=24 equation 2

-3(-8+y)-3y=24 sub x value in equation into x value of equation 2

24-3y-3y=24

-6y=0

y=0

solve for x

x=-8+y

x=-8+0

x=-8

check answer:

-3x-3y=24

-3(-8)-3(-0)=24

24-0=24

24=24

Answer:

3x + y

Step-by-step explanation:

combine like terms

-3x + 6x = 3x

2y - y = y

Final Answer: 3x + y

pakii Ayus po

Step-by-step explanation:

favsywuwinswyuqoqpwieygsbsnwjqkqkhzvshqjqkjwhegwy

Answer:

Grade can make 55 bracelets

Step-by-step explanation:

2640/48 = 55

Answer:

55

Step-by-step explanation:

2640 divided by 48

the answer is 55

Answer:

200

Step-by-step explanation

100+400=500  BUS

300+400=700 SPORTS

sports-bus

700-500=200

Answer:

300 + 400 = 700

Step-by-step explanation:

Play sports, : 300 + 400 = 700

Don't play,     : 200 + 100 = 300

Answer:

A

Step-by-step explanation:

Answer:

452.2

Step-by-step explanation:

r x r x h x 3.14 (pi) = 6x6x3.14x4=452.16, rounded to tenth is 452.2

Answer:

452.4in³

Step-by-step explanation:

diameter= 12in.

radius= 12÷2

= 6in.

volume= πr²h

=π×6²×4

= π×36×4

= 113.097336×4

= 452.389

≈ 452.4in³

Answer:

Yes, this is equivalent.

Hope this helps!

Answer:

Step-by-step explanation:

Assume the width of the rectangle is x. That means that the length of the rectangle is 7x which is 7 times as long as it is wide.

Perimeter of a rectangle:

= Length + length  + Width + Width

Therefore:

7x + 7x + x + x = 64

16x = 64

x = 64/16

x = 4 meters

Length is 7 times as long:

= 4 * 7

= 28 meters

Answer:

D

7k*10=70k

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Because it is in the 4th place and x 10 moves it over 1 so in 5th place then

Answer:

1: x=18   2: x=7   3: x=12

Step-by-step explanation:

1:  7x+3=9x-33

    2x=36

     x=18

2:  16x+(6x=26)=180

     22x=154

      x=7

3:  (10x-17)-(2x-3)=90

     8x-14=104

      x=12

Answer and Step-by-step explanation:

1.

7x + 3 = 9x - 33

Subtract 7x from both sides, and add 33 to both sides of the equation.

36 = 2x

Divide both sides by 2.

x = 18

2.

6x + 26 + 16x = 180

Combine like terms.

22x + 26 = 180

Subtract 26 from both sides of the equation.

22x = 154

Divide 22 from both sides of the equation.

x = 7

3.

90 + 2x - 3 = 10x - 17

Add 17 to both sides of the equation, subtract 2x from both sides of the equation and combine like terms.

104 = 8x

Divide 8 from both sides of the equation.

x = 13

#teamtrees #PAW (Plant And Water)

Answer:

6.50 + 5.75n

Step-by-step explanation:

6.50 for the first hour only being charged once and the 5.75 being for the number of hours (n) she works after the first hour

Answer:

B

Step-by-step explanation:

n is how many additional hours after the first hour she babysits. She charges $5.75 for each additional hour. So, that would be:

5.75n

But for the first hour, she charges 6.50. So that would be:

6.50+5.75n

Answer:

Range: 40

Median: 55

Mode: 72

Mean: 54.6

Step-by-step explanation:

First, let's put all of the numbers down.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Now, to find the range, subtract 72 - 32 = 40

To find the median, find the number in the middle

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

Because there are an even amount of numbers we will find the mean of those two numbers which would be 55.

To find the mode, look for the number that appears the most.

32, 34, 35, 40, 41, 54, 54, 56, 63, 69, 70, 72, 72, 72

To find the mean, add everything up.

32, + 34, + 35, + 40, + 41, + 54, + 54, + 56, + 63, + 69, + 70, + 72, + 72, + 72 = 764

Then, divide. 764 ÷ 14 = 54.6 when rounded to the nearest tenth.

I hope that this helps, and you have a great day! :)

Answer:

15

Step-by-step explanation:

i dont know if your looking for the area but i can help you out on that, and im sooper sorry if this is the wrong answer! Plz forgive me if so!

d,a is 3 and from d to c is 5, 3x5=15, thats the area of the square!!

If you were looking for a different answer plz forgive me you didnt exactly tell us what you were looking for so i kinda just guessed it was area of the square real sorry if this is wrong!!

Answer:

C. the lines will be intersecting but neither parallel nor perpendicular

Step-by-step explanation:

changing the x coeficient means you're changing the gradien/ slope. so it will intersecting in one point of y if the x = 0

y = 2x + 4

y = 2(0) + 4 = 4

y = 3x + 4

y = 3(0) + 4 = 4

Answer:

Step-by-step explanation:

If you type this equation onto the graphing calculator you can clearly tell the lines intersect therefore the right answer is the last one.

Answer:

86 ft

Step-by-step explanation:

First method: Logical thinking

Think of the position 34 ft below sea level as -34.

The position above sea level is 52.

You need to find the distance between -34 and 52.

You go from 34 ft below sea level, -34 to 0. That is 34 ft.

Then you go from sea level, 0 ft, to 52 ft above sea level. That is 52 ft.

The total is 34 ft + 52 ft = 86 ft

Answer: 86 ft

Second method: Calculate a distance in math

The distance between two points on a number line is the absolute value of the difference of their coordinates. The coordinates are -34 and 52. Subtract the numbers in either order, and take the absolute value of the difference.

|-34 - 52| = |-86| = 86

If you did it in the other order, you'd get the same answer.

|52 - (-34)| = |52 + 34| = |86| = 86

Answer: 86 ft

Answer:  It's supposed to be A) 13.6 ft

Answer:

Exponential

Step-by-step explanation:

The rate of change is exponential.

Answer:

p/2 _l step 1. 270 ÷2= 135. 135- 82 = 53 width of the painting = 53