Line segment AB is the diameter of circle C. If the endpoints of the diameter are (3, -4) and (7,2), what are the coordinates of the center of the circle

Answer:

BC = 24

Step-by-step explanation:

Since angle B is equal to angle C

AC = AB

3x-15 = x+33

Subtract x from each side

3x-15 -x=x+33-x

2x-15 = 33

Add 15 to each side

2x-15+15 = 33+15

2x = 48

Divide by 2

2x/2 = 48/2

x = 24

We want BC = x

BC = 24

Answer:

HI

Step-by-step explanation:

Answer & Step-by-step explanation:

The equation for slope-intercept form is y=mx+b

In order to solve this problem, we can just solve the equation to find y.

y - 6 = 5(x - 2)

Distribute 5 to (x - 2)

y - 6 = 5x - 10

Add 6 to both sides of the equation.

y = 5x - 4

So, the slope of the line is 5.

The required slope of the line m = 5

What is the slope of the line represented by the equation y-6 = 5(x - 2)

line, is curve showing the shortest distance between 2 points.

Given line y-6 = 5(x - 2)
standard equation of line = [tex]y-y_1=m(x-x_1)[/tex]
compare the standard equation of line with standard equation
m=5

Thus, The required slope of the line m = 5

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Answer:

Yes.

Step-by-step explanation:

Substitute in the equation for x and y:

-8 = -3 + -5  = -8.

Answer:

20 %

Step-by-step explanation:

four blue shirts, two green shirts, two gray shirts, one white shirt and one red shirt = 10 shirts

P(red) = number of red shirts / total

          = 2/10

          = 1/5

           =20 %

Answer:

10%

Step-by-step explanation:

4 blue

2 green

2 gray              

1 white

1 red

4 + 2 + 2 + 1 + 1 = 10

each t-shirt = 10 percent

so 1 red t-shirt = 10%

Answer:

51

Step-by-step explanation:

by linear pair

(2x+4)+(x+23)=180

2x+4+x+23=180

3×+27=180

3x=180-27

x=153/3

×=51

Answer:

Step-by-step explanation:

2x + 4 + x + 23 = 180     {linear pair of angles}

3x + 27 = 180

3x = 180 - 27

3x = 153

x = 153/3

x = 51°

Answer:

A. y + 1 = -2(x-2)

Step-by-step explanation:

point-slope equation is : y - y1 = m (x -x1)

remember m= slope value

the given point is (2, -1) therefore we can substitute the values in:

y + 1 = m(x -2)

now to make sure our answer is complete we will solve for the slope:

looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)

with any two points you can determine a slope.

y2 - y1 / x2 - x1

therefore :

-1 -3 / 2 - 0

-4 / 2 = -2

therefore our m value is -2

this makes the completed point-slope equation:

y + 1 = -2 (x - 2) or A

Answer:

25 hours

Step-by-step explanation:

$120 for every 10 hours

$12 for every hour

$300/12= 25 hours

Answer:

Quadrant 4!

Step-by-step explanation:

It isn't quite 2 pi, so it doesn't make it around the circle twice, making it land in quadrant 4

Answer:

$7.52

Step-by-step explanation:

It adds 0.34 dollars every month...

Hope this helps (:

Answer:

5 inches

Step-by-step explanation:

A=bh

A=bx

60=12x

12x=60

x=5

Answer:

x = 5 In.

Step-by-step explanation:

The area of a parellelogram is usually basically the same as that of a rectangle or square. So the equation for the area of this parellogram is 60/12.

That would give you 5 which makes x equal to 5 inches.

Answer:

1. 18.84cm

2. 10 Pennies

Step-by-step explanation:

Question 1:

Circumference Formula = 2 x π x radius

We will substitute π for 3.14 so the circumference = 2 x 3.14 x radius

The radius is 3 so the circumference = 2 x 3.14 x 3

2 x 3.14 x 3 = 18.84cm

Question 2:

20% as a decimal is 0.2

To find the answer just find 20% of 50

50 x 0.2 = 10

Therefore 10 pennies were minted before 2000

Answer:

See explanation, and comment for more details!

Step-by-step explanation:

10. The perimeter of any shape is the sum of the length of the sides, which means that the perimeter of this triangle is x+y+z.

11. Since this is a right triangle, the two legs form the height and base. The area of this triangle is therefore x*y/2.

12.

a. x=3, y=4, z=5

b. [tex]x=\sqrt{2}, y=\sqrt{2}, z=2[/tex]

c.[tex]x= \sqrt{3}, y=2, z=\sqrt{7}[/tex]

Hope this helps!

Answer:

[tex]\frac{1}{x+2}-\frac{1}{3} =\frac{1}{x^2 +5x+6}[/tex]

Step-by-step explanation:

\frac{1}{x+2}-\frac{1}{3}  =\frac{1}{x^2 +5x+6}

Answer:

[tex]$\frac{2}{3x} +\frac{7}{5y} $[/tex]

[tex]$\frac{2(5y)}{3x(5y)} +\frac{7(3x)}{5y(3x)} $[/tex]

[tex]$\frac{10y}{15xy} +\frac{21x}{15xy}$ \\[/tex]

[tex]$\frac{10y+21x}{15xy}$ \\[/tex]

\\-----------------------------------\\

[tex]$\frac{1}{x+2} -\frac{1}{x+3} $[/tex]

[tex]$\frac{1(x+3)}{(x+2)(x+3)} -\frac{1(x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{x+3- (x+2)}{(x+2)(x+3)} $[/tex]

[tex]$ \frac{1}{(x+2)(x+3)} $[/tex]

Answer:

see below

Step-by-step explanation:

Because the sum of all angles in a quadrilateral is 360° we have:

90 + 101 + 12x + 3 + 9x - 2 = 360

21x + 192 = 360

21x = 168

x = 8°

Answer:

The value of x is 8.

Step-by-step explanation:

Given that total angles in a quadrilateral is 360°. So in order to find x, you have to add up all the angles together to make it equals to 360° :

[tex]101 + 12x + 3 + 9x - 2 + 90 = 180[/tex]

[tex]192 + 21x = 360[/tex]

[tex]21x = 360 - 192[/tex]

[tex]21x = 168[/tex]

[tex]x = 168 \div 21[/tex]

[tex]x = 8[/tex]

Answer: The answer is Yes.

Step-by-step explanation:

Can not represent as a function. since some output have more than one input

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually

No, because various numbers of students complete different sizes of homework, the number of students who finish their homework cannot be expressed as a function of the size of the assignment.

Khaled, for instance, was assigned a size 8 assignment twice, and on each occasion, a different amount of pupils finished it (24 and 21). There should only be one output for each input in a function, yet in this situation, some inputs have more than one output.

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Complete question:

The table compares the amount of homework Khaled gave to his class, and the number of students who completed them, on several different occasions. Can the number of students who completed their homework be represented as a function of the homework's size?

Homework     Complete

5                            30

8                            24

6                            26

10                            20

4                            32

7                            25

6                            26

8                            24

3(x-1)-8=4(1+x)+5  

One solution was found :

                  x = -20

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    3*(x-1)-8-(4*(1+x)+5)=0  

Step by step solution :

Step  1  :

Equation at the end of step  1  :

 ((3•(x-1))-8)-(4•(x+1)+5)  = 0  

Step  2  :

Equation at the end of step  2  :

 (3 • (x - 1) -  8) -  (4x + 9)  = 0  

Step  3  :

Step  4  :

Pulling out like terms :

4.1     Pull out like factors :

  -x - 20  =   -1 • (x + 20)  

Equation at the end of step  4  :

 -x - 20  = 0  

Step  5  :

Solving a Single Variable Equation :

5.1      Solve  :    -x-20 = 0  

Add  20  to both sides of the equation :  

                     -x = 20

Multiply both sides of the equation by (-1) :  x = -20

One solution was found :

                  x = -20

hope this is wht u wanted

Answer:The volume of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

To determine for which value of x a pair of expressions will be equal, we will need to set them equal to each other and then solve for x.

[tex]3x-4=2x+1[/tex]

First, we can add 4 to each side

[tex]3x=2x+5[/tex]

Now we can subtract 2x from each side

[tex]x=5[/tex]

Now, just to check our answer, we can plug in our answer back into the original equation to see whether we get the same result for each side

[tex]3(5)-4=2(5)+1\\\\15-4=10+1\\\\11=11[/tex]

Answer:

5

Step-by-step explanation:

1) make them equal to each other

2) put all the constants on one side and all the ones with x on the other

3) solve

Answer:

C

Step-by-step explanation:

x-intercept occurs when y=0.

2x -3y= 8

When y=0,

2x -3(0)= 8

2x= 8

x= 8 ÷2

x= 4

Thus the coordinates is (4,0).

Answer:

314 ft²

Step-by-step explanation:

3.14(10)²

(3.14)(100)

314

Answer:

17.8

Step-by-step explanation:

First:

put the equation together

(2x+3) * (x+2)=91

Secondly:

condense

parenthisis can be dropped and normal problem solving can be used.

5x+2=91

subtract 2 from either side of the =

this will give you 5x=89

next divide 5 from each side because it is multiplying the x

x=17.8

Answer:

4

Step-by-step explanation:

Since the y value is the same, we only have to look at the x value

-1 - -5

-1 +5

4

The distance is 4

Answer: The distance of this segment is 4 units

Step-by-step explanation:

Obviously, you could count the number of units in this graph, but for the sake of math, let’s use the distance formula, which is:

d = √([tex]x_{2}[/tex] - [tex]x_{1}[/tex])² + ([tex]y_{2}[/tex] - [tex]y_{1}[/tex])²

We know that the two endpoints of our line segment are (-1, -4) and (-5, -4). So we will use these coordinates and substitute them into the equation. The -4s will be our y coordinates, and our -1 and -5 will be our x coordinates.

d = √((-5) - (-1))² + ((-4) - (-4))²

d = √(-4)² + (0)²

d = √16 + 0

d = √16

d = 4

This furthermore proves that the distance between the two segments is 4.

Hope this helps! :)

Answer:

∠F=56.5⁰

Step-by-step explanation:

It forms a right angled triangle.

The base of the triangle is given as 7.7 feet

The perpendicular of the triangle is given as 5.1 feet.

Find ∠E where

tan∠E=perpendicular/base

tan∠E=7.7/5.1

∠E=33.518

Find ∠F by substracting ∠G and ∠E from 180,

∠F=180-90-33.518

∠F=56.482

Round off to nearest tenth

∠F=56.5

Answer:

Step-by-step explanation:

-4 + 13 - 4 + 13 - 4 + 13

9 - 4 + 13 - 4 + 13

5 + 13 - 4 + 13

18 - 4 + 13

14 + 13

27

Answer:

  (5, 8), (7, 1), (15, 3)

Step-by-step explanation:

a) The variables are defined in the problem statement. The total expenditure must satisfy ...

  2.00x +3.50y ≤ 42.00

b) Possible solutions include ...

 (x, y) ∈ {(5, 8), (7, 1), (15, 3)}

__

These were chosen by looking at the attached graph of the equation.

Answer:

85°

To get this,know that the total angle of triangle is 180°[(n-2)180] n=number of sides.Total angle on a straight line is 180°.

There are 3 angle you need to calculate.

Upper angle:180-133=47°

Right angle:180-142=38°

Left angle:180°-47°-38°=95°

n+95°=180°

n=180°-95°=85°

Answer:

it is 768 in

Step-by-step explanation:

you multiply 32 by 24

Answer:

C. would be the answer.

Step-by-step explanation:

Hope this helps.

Answer:

0.152

Step-by-step explanation:

152 divided by 1,000 equals around 0.152.

The calculated division of the numbers 152 divided by 1000 is 19/125

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

152 divided by 1000

When represented as an equation, we have

152 divided by 1000 = 152/1000

Divide 7 by 4

So, we have the following result

152 divided by 1000 = 19/125

Using the above as a guide, we have the following:

the result is 19/125

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