A circle has a diameter with endpoints
C(20, -21) and D(-20, 21). Determine the equation of the circle.

Answer:

Through pythogoras theorem

a^2+b^2=c^2

20^2+16^2=c^2

c^2=400+256

c^2= 656

c= square root of 656

c=25.6 inches or 30 inches

Missing side 25.6 inches or 30 inches

c^2 = a^2 + b^2

c^2 = 16^2 + 20^2

c^2 = 256 + 400

c^2 = 656

Now, square root both sides to find the missing length of c or the hypontenuse.

Answer:

-5,4

Step-by-step explanation:

Answer:

y=3/4x-5

Step-by-step explanation:

look at the image I attached

Answer:

Answer:

The function describes the motorboat's distance from the shore  

Step-by-step explanation:

A motorboat moves across a lake as a constant speed. when it begins, it is 50 km from the shore

After 9 minutes, it is 14 km from the shore.

So, rate of change =  

Negative sign shows that there is decrease in distance per minute

The rate of change of distance is 4 km / minutes

General equation : y = mx+c

Where m is the slope and c is the constant

Substitute the values in the equation :

y=-4x+50

Where y is the final distance and x is the minutes

So, Option C is true

Hence The function describes the motorboat's distance from the shore

Step-by-step explanation:

Answer:

19 + 21 = 40.

Step-by-step explanation:

Answer:

When raising an expression of that format to any power, after grouping like terms, you'll always find that the odd numbered terms are positive, and the even numbered terms are negative.

For example:

(x - y)² = x² − 2xy + y²

(x - y)³ = x³ − 3x²y + 3xy² − y³

(x - y)⁴ =x⁴ − 4x³y + 6x²y² − 4xy³ + y⁴

etc.

Answer: 6

Step-by-step explanation:

Here's the complete question:

Olivia is making scarves. each scarf will have 5 rectangles, and 2/5 of the rectangles will be purple. how many purple rectangles does she need for 3 scarves.

Since each scarf have 5 rectangles, and 2/5 of the rectangles will be purple. The number of purple needed for each scarf will be:

= 2/5 × 5 = 2 purple

Therefore, the number of purple rectangles she need for 3 scarfs will be:

= 2 × 3

= 6

Answer:

Heheee

Step-by-step explanation:

hehehe

Answer: 158 and 28

Step-by-step explanation:

Supplementary angles are angles that add to 180, so 180-158 = 28 degrees.

Answer:

89.57in

Step-by-step explanation:

Given the following

Slant height of the pyramid l = 90.4in

Length of one side of the base b =24.4in

Required

Height of the pyramid H

To get the height we will use the Pythagorean theorem as shown

l² = h²+(b/2)²

Substitute the given values

90.4² = h²+(24.4/2)²

90.4² = h²+12.2²

h² = 90.4²-12.2²

h² = 8023.32

h = √8023.32

h = 89.57in

Hence the height of the pyramid is 89.57in

Answer:

x = [tex]3\frac{3}{4}[/tex]

Step-by-step explanation:

First, you have to leave 2x by itself on the left side of the equation:

2x = 60/8

Then divide,

x = 15/4

Simplified fraction: x = [tex]3\frac{3}{4}[/tex]

Answer:

exact form: x=15/4

decimal form; 3.75

miced number: 3  3/4

Step-by-step explanation:

Answer:

Five and six ninth inches

Step-by-step explanation:

There are 51 inches and 9 (people) want a chain so 51 divided by 9 is 5.666.

Answer:

B

Step-by-step explanation:

Answer:

Step-by-step explanation:

here you go mate :)

step 1

2(x + 4) = -6  solving for x

step 2

2(x + 4) = -6  simplify by distributing

2x+8=-6

step 3

2x+8=-6  subtract 8

2x=-14

step 4

2x=-14  look for the number that can divide them both like 2

2x/2=-14/2

answer

x=-7

Answer:

(x , y) ----> (-x , y)

Step-by-step explanation:

(x , y) ----> (-x , y)

Example for 1. :

(-4,2) ---> (4,2)

Answer:

4x6 _3

Step-by-step explanation:

24-3 =21 So this is the answer

I hope this will work for u

The value of b from the given function is 9/4.

The given function is g(x) = 4x–3.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Replace x by b in the given function is

g(b)=4b-3

⇒ 6=4b-3

⇒ 4b=9

⇒ b=9/4

Hence, the value of b from the given function is 9/4.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Answer:

2x+3x=150 ( sum of opposite interior angle of triangle is equal to the exterior angle)

5x=150

x=150/5

x=30

hire 6 men and time then with a stopwatch and then you have your answer

Answer:

Step-by-step explanation:

Putting value of z = 3

6(3)2+ 2(3) + 10

6(9) + 6 + 10

54 + 16

70

Answer:

D) infinitely many solutions

Step-by-step explanation:

5 ( x-3 ) - 3x = 8x - 15 - 6x

5x - 3x - 15 = 8x - 6x - 15

2x - 15 = 2x - 15

2x = 2x

Since, equations of both lines are same. Therefore, there are infinitely many solutions.

Answer:

D

Step-by-step explanation:

Given

5(x - 3) - 3x = 8x - 15 - 6x

5x - 15 - 3x = 2x - 15

2x - 15 = 2x - 15

Since both sides are the same then any real value of x will be a solution.

That is there are infinitely many solutions

Answer:

There are about 1.5 3/5s in 9/10.

Step-by-step explanation:

3/5 = 0.6

9/10 = 0.9

0.9 / 0.6 = 1.5

Answer:

1.5

Step-by-step explanation:

If you use a calculator and divide 9/10 by 3/5 then you will simply get 1.5 you wont need to simplify the fractions to decimals.

9/10 ÷ 3/5 = 3/2=1.5

There are Thewre are 3/2 or 1.5 3/5 in 9/10

Answer:

x=2

Step-by-step explanation:

17x-8=11x+4

Add 8 to both sides:

17x=11x+12

Subtract 11 x from both sides:

6x=12

Divide both sides by 6:

x=2

Value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex] such that the two triangles are congruent as per the Side-Side-Side Congruence Postulate.

According to Side-Side-Side postulate, if the three sides of one the two triangles are congruent to each other then the two triangles are congruent.

Congruent triangles have the same shape as well as the same size.

[tex]\boldsymbol{\bigtriangleup MPQ\cong \bigtriangleup NPQ}[/tex]

This implies [tex]PM,PN[/tex] are same in length.

[tex]17x-8=11x+4[/tex]

       [tex]6x=12[/tex]

         [tex]x=2[/tex]

So, value of [tex]\boldsymbol{x}[/tex] is [tex]\boldsymbol{2}[/tex].

Find out more information about Side-Side-Side postulate here:

https://brainly.com/question/1593616?referrer=searchResults

Answer: -2.25,1.6 or 1 3/5 ,3.25 or13/4

Step-by-step explanation: because it’s in the negative,it’s smaller than the last on ,

Answer:

[tex]20.25\pi \: {m}^{2} [/tex]

Step-by-step explanation:

[tex]Circumference = 2\pi r = 9\pi \Rightarrow r = 4.5 \\ Area = {r}^{2}\pi = {4.5}^{2} \pi = 20.25\pi[/tex]

Answer:

B

Step-by-step explanation:

It's creating a feeling of suspense cuz it gives you a creepy feeling that something SHOCKING is going to happen

Answer:

b

Step-by-step explanation:

Answer:

24

Step-by-step explanation:

multiply the length (4) times the width (6) and you get the area (24)

Answer:

<ABC = 51°

Step-by-step explanation:

Given

<A = 2x -15°

<B = x - 5°

< C = 148°

Now

<A + <B = < C ( Exterior angle of a triangle is equal to the sum of two opposite interior angles)

2x -15° + x - 5° = 148°

3x - 20° = 148°

3x = 148° +20°

3x = 168°

x = 168° / 3

X = 56°

Now for Angle B

= 56° - 5°

= 51°

Hope it helps :)

Answer:

2/6 square units

Step-by-step explanation:

What is the area of a rectangle with side lengths of 1/2 and 2/3

Step one:

given data

L= 1/2 units

W=2/3 units

Step two:

Area= L*W

substitute

Area= 1/2*2/3

Area=2/6 square units

Answer:

x = 4

Step-by-step explanation:

Since BD is an angle bisector then it divides the opposite side into segments that are proportional to the other 2 sides, that is

[tex]\frac{BA}{BC}[/tex] = [tex]\frac{AD}{CD}[/tex] , substitute values

[tex]\frac{x}{6}[/tex] = [tex]\frac{2}{3}[/tex] ( cross- multiply )

3x = 12 ( divide both sides by 3 )

x = 4