The endpoints of the diameter of a circle are (6,5) and (-2, 3). Which equation represents the circle?
A)
(x - 2)^2 + (y – 4)^2 = 9
B)
(x+ 2)^2 + (y + 4)^2 = 16
C
(x - 2)^2 – (y + 4)^2 = 16
D)
(x - 2)^2 + (y - 4)² = 17

Answer:

x=-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

2(x - 3) = 4x

2x - 6 = 4x

2x - 4x = 6

-2x = 6

x = -3

I hope this helps you :)

Answer:

25 dimes

Step-by-step explanation:

Given

Coins: Nickels (N), Quarters (Q) , and Dimes (D)

$0.05 = 1 nickel, $0.10 = 1 dime  and $0.25 = 1 quarter

So, the amount implies:

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

The number of coin implies:

[tex]N + D + Q = 48[/tex]

and

[tex]N = 7 + Q[/tex]

Required

Determine the number of Dimes

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

[tex]N + D + Q = 48[/tex]

[tex]N = 7 + Q[/tex]

Substitute 7 + Q for N in the first and second equation

[tex]0.05N + 0.10D + 0.25Q = 5.25[/tex]

[tex]0.05(7 + Q) + 0.10D + 0.25Q = 5.25[/tex]

[tex]0.35 + 0.05Q+ 0.10D + 0.25Q = 5.25[/tex]

Collect Like Terms

[tex]0.10D + 0.25Q+0.05Q = 5.25 - 0.35[/tex]

[tex]0.10D + 0.30Q = 4.90[/tex] ----- (1)

[tex]N + D + Q = 48[/tex]

[tex]7 + Q + D + Q = 48[/tex]

Collect Like Terms

[tex]D + Q + Q= 48 - 7[/tex]

[tex]D + 2Q= 41[/tex]

Make Q the subject

[tex]2Q = 41 - D[/tex]

[tex]Q = \frac{41}{2} - \frac{D}{2}[/tex]

[tex]Q = 20.5 - 0.50D[/tex]

Substitute 20.5 - 0.50D for Q in  (1)

[tex]0.10D + 0.30Q = 4.90[/tex]

[tex]0.10D + 0.30(20.5 - 0.50D) = 4.90[/tex]

[tex]0.10D + 0.30*20.5 - 0.30*0.50D = 4.90[/tex]

[tex]0.10D + 6.15 - 0.15D = 4.90[/tex]

[tex]0.10D - 0.15D = 4.90 - 6.15[/tex]

[tex]-0.05D = -1.25[/tex]

Solve for D

[tex]D = \frac{-1.25}{-0.05}[/tex]

[tex]D = 25[/tex]

Hence, there are 25 Dimes

Answer:

The answer is Add -3 and 4 should be done first

Answer:

it would be 0.64

Step-by-step explanation:

Answer:

The roots of the equation is real and repeated

Step-by-step explanation:

Here, we want to describe the nature of the roots of the given quadratic equation

To get the nature of the roots, we find the discriminant of the equation

The discriminant is;

b^2 - 4ac

In this case, b = -28 , a = 49 and c = 4

The discriminant is thus;

-28^2 - 4(49)(4)

= 784 - 784 = 0

Since the discriminant is zero, this means that the quadratic equation has real roots which are the same

Answer:

y=3x

Step-by-step explanation:

Answer:

X + 50 = 130

Step-by-step explanation:

This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.

To solve, subtract 50 from each side,

X + 50 - 50 = 130 - 50, and simplify,

X = 120.

Jordan will need $120 more to go to the Camp Rodeo Field Trip.

Hope this helps.

Answer: 53.33

Step-by-step explanation:

Answer: Area =1/2 *B*H

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The pattern is square numbers so

1, 4, 9, 16, 25

Answer:

Step-by-step explanation:

you multily the negative by the positive and get a negative answer so -36.8

Answer:

7. y = 2x + 7

8. y = -3x - 4

9. y = -5x - 34

10. y = 2/5x + 6/5

11. y = 1/4x + 4.5

12. y = -2x

Step-by-step explanation:

to find the slope-intercept formula of these charts: (i'm guessing that that's what your teacher wants? you forgot to include their directions in the images)

you need to use y = mx + b

to find m, you take two coordinates and then do (y2 - y1)/(x2 - x1)

to find b, figure out what y is when x = 0.

you can either do this by looking at the chart and finding 0 on the x side, or if that isn't there, take a different point and insert the y and x values into what you have so far. if you enter the points correctly and have an m, the only letter you should have left is b. so all you'd need to do from there is solve the equation for b!

hope this helped!!

Answer:

The range of the function is from 2 feet to 12.25 feet

Step-by-step explanation:

In a function f(x) = y

x is the domain of the function

y is the range of the function

The height (h) of the ball at time (t) seconds can be represented by the equation h(t) = - 16 t² + 20 t + 6

∵ h(t) = - 16 t² + 20 t + 6

∴ The domain is t

∴ The range is h(t)

- To find the range of the quadratic function find the maximum or

minimum value of it

∵ The leading coefficient of the function is -16

∴ The function has a maximum value

To find the maximum value differentiate h(t) with respect to t and equate it by 0 to find the value of t for the maximum height

∵ h'(t) = -16(2) t + 20(1)

∴ h'(t) = -32 t + 20

- Equate it by 0

∵ h'(t) = 0

∴ -32 t + 20 = 0

- Subtract 20 from both sides

∴ -32 t = - 20

- Divide both sides by -32

∴ t = 0.625 seconds ⇒ time for the maximum height

Substitute the value of t in h(t) to find the maximum height

∵ h(0.625) = -16(0.625)² + 20(0.625) + 6

∴ h(t) = 12.25 feet

∴ The maximum height of the ball is 12.25 feet

∵ The ball is caught at 2 feet

∴ The range of the function is 2 ≤ h(t) ≤ 12.25

The range of the function is from 2 feet to 12.25 feet

Answer:

10+2.50*L

Step-by-step explanation:

It first says they charge $10 PLUS $2.50 per lap.

If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.

Answer:

less that is it have good day

Answer:

55

Step-by-step explanation:

149+16=165, 165/150=1.1, 1.1*100=110, 165-110=55

Answer:

55

Step-by-step explanation:

i used a calculator cause IK the equation but I couldn't get the right answer

Answer:

D

Step-by-step explanation:

The range is the lowest and highest section of a line that is represented with coordinate. The range itself is purely vertical, and so to start we are looking for the lowest point first. We can see that the lowest point is -3. This is shown by the point that is 3 units down vertically. So as of now we can write the equation for the range:

[tex] \: 3\leqslant y \leqslant [/tex]

This means that 3 is less than or equal to y. This is always consistent. The last part we are looking for is the highest point, which is 2.

Answer:

36

Step-by-step explanation:

so you are trying to find the value of a multiplied by b.

You also know that A=-9 and b=-4

this means that you are solving -9 times -4

-9 times -4 = 36

Answer: is B

Step-by-step explanation:

Answer:

1 to 1?

Step-by-step explanation:

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]

Finally, the probability of getting the remaining ace out of the 49 cards is:

[tex]\displaystyle \frac{1}{49}[/tex]

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]

[tex]\displaystyle P= \frac{1}{270,725}[/tex]

P=0.0000037

P=0.00037%

Answer:

A. 160 Out of 40 is 400%./// B. The answer is 25/// C.  The answer is 3905%

Step-by-step explanation:

( A )  One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 160 is 40% of =  160 X 100     = 400

                                        40

( B ) The same thing as A but the numbers are switched

       One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 40 is 160% of = 40 × 100      = 25

                                          160

( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:

1602 - 40 = 1562

Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:

1562      = 39.05          

40

We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?

39.05 x 100 = 3905%

160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Problem A,

40% of 160 = 160 x 40 / 100

                  = 64

Problem B,

160% of 40 = 160 x 40 / 100

                  = 64

Problem C,

40% of 1602 = 1602 x 40 / 100

                     = 640.8

Therefore, 160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

To learn more about the percentage;

https://brainly.com/question/24159063

#SPJ2

Answer:

Step-by-step explanation:

229,613 cm ^3 took test.

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

Answer:

55.25

Step-by-step explanation:

17*13=221

221/4=55.25

Answer:

40

Step-by-step explanation:

I asked google so I think is is right

Answer: A. Add 4 negative unit tiles to both sides.

Step-by-step explanation: Hope this helps

Answer:

 run / rise =5/1

Step-by-step explanation:

The run is 5 and the rise is 1