JOE'S MOUNTAIN BIKE WEIGHS 7 POUNDS MORE THAN ANDY'S. IF THEIR BIKES WEIGH 45 POUNDS ALTOGETHER, HOW MUCH DOES JOE'S BIKE WEIGH?

Answer: (x - 2)^2 + (y - 15)^2 = 13^2

Step-by-step explanation:

We know that the general equation for a circle is:

(x - a)^2 + (y - b)^2 = R^2

Where:

(a, b) is the center of the circle

R is the radius of the circle.

First, we know that the center of the circle is the point P, (2, 15)

Now, we also know that point M, (7, 3), is located at the circle.

Then we know that the radius of the circle will be equal to the distance between point P and point M.

Remember that the distance between two points (a, b) and (c, d) is:

Distance = √( (a - c)^2 + (b - d)^2)

Then in our case, we have:

Distance = √( (2 - 7)^2 + (15 - 3)^2) = √(25 + 144) = 13

This means that the radius of the circle is R = 13.

Now we know the radius of the circle and the center of the circle, then we can write the equation of the circle as:

(x - 2)^2 + (y - 15)^2 = 13^2

Answer:

16 is the answer cuz it have base of 12 so the height will be bigger than base.

Step-by-step explanation:

A function f(x) has an inverse, or is one-to-one, if and only if the graph y = f(x) passes the horizontal line test. A graph represents a one-to-one function if and only if it passes both the vertical and the horizontal line tests.

you can tell if the graph is inverse if f(x) passes the horizontal line test ( basically if it touches the line that goes across *horizontally* on the graph) and a graph is a one to one function if and ONLY if it touches both vertical and horizontal lines on the graph

Exponential Function.

[tex]y = {a}^{x} \: \: (a > 0) \: \: (a≠1)[/tex]

Also the shown graph is a decreasing graph.

[tex]y = {a}^{x} \: \: (0 < a < 1)[/tex]

The equation above is the equation of the graph that is shown in the picture.

9514 1404 393

Answer:

  (b)  T(x, y) -> (x-3, y-6)

Step-by-step explanation:

Each image point is 3 left and 6 down from the corresponding pre-image point. That is -3 is added to each x-value, and -6 is added to each y-value. That transformation is represented by ...

   T(x, y) ⇒ (x-3, y-6)

IT IS THE THIRD ONE:

3+8.486

because I find it like that

Answer:

The sum of an even number plus an odd number is odd.

Step-by-step explanation:

The sum of an even number and an odd number is odd.

For example:

2+3=5

11+10=21

51+32=83

The end digit of an even number is always 0, 2, 4, 6, or 8

The end digit of an odd number is 1, 3, 5, 7, or 9.

So if we add only the end digit of an even and an odd number we can find no combination that can give end digit 0, 2, 4, 6, or 8(i.e even).

Hence, the sum of an even number plus an odd number is odd.

Answer:

40%

Step-by-step explanation:

6/15=.4 move the decimal 2 spots to the right to get percentage :)

Answer:

A. Infity and B. is 1

Step-by-step explanation:

Step-by-step explanation:

[tex]y = \frac{x}{a} + b \\ \frac{x}{a} = y - b \\ x = \frac{y - b}{a} \\ x = \frac{y}{a} - \frac{b}{a} [/tex]

Answer:

The answer is D

Step-by-step explanation:

Answer:

the Choir has total of 100 members must be correct answer

more than half......................... can't be right cause there r exactly 50 members between 43-73,

second one can't be right cause no data was given no. of men and women

there r 35 members exactly who r less than 32 years so it's wrong.

hope it helps.

Answer:

the Choir has total of 100 members

Step-by-step explanation:

Solution :

Initial population, P = 752,000 .

Rate of decrease, r = 1.4 % .

Now, population decrease in 1st year :

[tex]P_1 = P( 1 - 0.014 )[/tex]

Also, population decrease in 2nd year :

[tex]P_2 = P_1( 1 -0.014 )\\\\P_2 = P( 1 - 0.014)^2[/tex]

Similarly for each next x year, population will be :

[tex]P_x = P( 1-0.014)^x[/tex]

Therefore, population after x years is given by :

[tex]P_x = 752000 ( 1-0.014)^x[/tex]

Answer:

I think its lines cause u use lines when you draw

The value of the missing part of the triangle given above would be = 7.5. That is option A.

To calculate the missing length of the similar triangle, the formula listed below should be used.

That is;

a/a+b = c/c+d

where a = 8

b = 10

c = 6

d = ?

That is;

8/8+10 = 6/6+d

make d the subject of formula;

8(d+6) = 6(18)

8d +48 = 108

8d = 108-48

8d = 60

d = 60/8

d = 7.5

Learn more about triangles here:

https://brainly.com/question/28470545

#SPJ1

Answer:

The value of x is also 16 because It is saying that the angles ABC are the same as FGH. Therefore, the angles are the same, so the number is the same.

Step-by-step explanation:

Answer:

I think 16? I am not really sure but I learned this long ago and I think the value of X is 16. If this didn't help I am sorry :(

Step-by-step explanation:

Answer:

5500

Step-by-step explanation:

5000 + (10 / 100) x 5000 = 5000 + (1/10) x 5000 = 5000 +500= 5500 people visted the book fair in the second week

Answer:

its not showing me the equation

Step-by-step explanation:

>>>>>

Answer:

I thinks it’s 7x + 5

Step-by-step explanation:

Answer:

Price per pound for cashews = $7

Price per pound for peanuts = $4

Step-by-step explanation:

Let,

x be the price per pound of cashews

y be the price per pound of peanuts

According to given statement;

4x+2y=36      Eqn 1

7x+6y=73      Eqn 2

Multiplying Eqn 1 by 3

3(4x+2y=36)

12x+6y=108     Eqn 3

Subtracting Eqn 2 from Eqn 3

(12x+6y)-(7x+6y)=108-73

12x+6y-7x-6y=35

5x=35

Dividing both sides by 5

[tex]\frac{5x}{5}=\frac{35}{5}\\x=7[/tex]

Putting x=7 in Eqn 1

4(7)+2y=36

28+2y=36

2y=36-28

2y=8

Dividing both sides by 2

y=4

Hence,

Price per pound for cashews = $7

Price per pound for peanuts = $4

Answer:

X=24 Z=110

Step-by-step explanation: correct me if im wrong because im not 100% sure.

Answer:

z=110° and x=24°

Step-by-step explanation:

z°=(5x-10)°[Being the pair of vertically opposite angle]

z+70°=180[Being the pair of straight angle]

or, z=180-70

z= 110

Again ,

z=(5x-10)°

or, 110=5x-10

or, 110+10=5x

or, 120=5x

or, 120/5=x

x=24°

Answer:

93

Step-by-step explanation:

150×62%

150×62/100

15×62/10

=930/10

=93

Answer:

93 is your correct answer

Step-by-step explanation:

Answer:

5.6

Step-by-step explanation:

HAve a nice day!

Answer:

x is equal to thirty-two.

Step-by-step explanation:

x(x - 32) = 0

x² - 32x = 0

x - 32 = 0

x = 32

Answer:

38. <1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Step-by-step explanation:

38. Sum of angles in a triangle = [tex]180^{o}[/tex]

So that;

38 + 110 + <2 = [tex]180^{o}[/tex]

148 + <2 = [tex]180^{o}[/tex]

<2 = [tex]180^{o}[/tex] - 148

<2 = [tex]32^{o}[/tex]

Thus,

<1 = [tex]38^{o}[/tex] (alternate angle principle)

<3 = [tex]110^{o}[/tex]

Therefore;

<1 = [tex]38^{o}[/tex], <2 = [tex]32^{o}[/tex], <3 = [tex]110^{o}[/tex]

39. <2 = [tex]28^{o}[/tex] (alternate angle principle)

So that;

sum of angles in a triangle = [tex]180^{o}[/tex]

<1 + <2 + 81 = [tex]180^{o}[/tex]

<1 + [tex]28^{o}[/tex] + 81 = [tex]180^{o}[/tex]

<1 + 109 = [tex]180^{o}[/tex]

<1 = [tex]180^{o}[/tex] - 109

   = [tex]71^{o}[/tex]

<1 = [tex]71^{o}[/tex]

<3 = [tex]81^{o}[/tex]

<1 = [tex]71^{o}[/tex], <2 = [tex]28^{o}[/tex], and <3 = [tex]81^{o}[/tex]

Answer:

7x=7

Step-by-step explanation:

I dont understand 2/5 of 50

İf 50.2/5

[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]

İf 2/5 /50

[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]