Find the equationof a circle whose centre is (-3-15) and passing point (5,-1) find the equation of circle..​

Answer:

The piecewise function is shown in the graph is

Step-by-step explanation:

At first, you must find the equation of each line

The form of the equation of the line is f(x) = m x + b, where

From the graph

∵ The line to the left intersects the y-axis at point (0, 1)

∴ b = 1

∵ The line passes through points (0, 1) and (-2, 2)

∴ Δx = -2 - 0 = -2

∴ Δy = 2 - 1 = 1

→ Use them to find the value of m

∵ m = Δy/Δx

∴ m = [tex]\frac{1}{-2}[/tex]

∴ m = -0.5

→ Substitute the values of m and b in the form of the equation above

∴ f(x) = -0.5x + 1

∵ The domain of the function is the values of x

∵ The line starts with an empty circle

→ That means x = 0 does not belong to the domain

∴ The sign of inequality is < without equal

∴ The domain of f(x) is x < 0 ⇒ all values less than 0

∵ We have only one answer has f(x) = -0.5x + 1, x < 0

∴ The graph represents the first answer A

∴ The piecewise function is shown in the graph is

Answer:

a

Step-by-step explanation:

Answer:

There were 250 hamburgers sold on Saturday.

Step-by-step explanation:

∵ A local hamburger shop sold a combined total of 555 hamburgers

   and cheeseburgers on Saturday

→ Assume that the shop sold x hamburgers

∵ The shop sold x hamburgers

∵ There were 55 more cheeseburgers sold than hamburgers

→ That means the number of cheeseburgers is greater than the

    number of hamburger by 55

∴ The shop sold x + 55 cheeseburgers

∵ The shop sold 555 burgers

→ Add the two types of burgers and equate the sum by 555

∴ x + x + 55 = 555

∴ 2x + 55 = 555

→ Subtract 55 from both sides

∴ 2x + 55 - 55 = 555 - 55

∴ 2x = 500

→ Divide both sides by 2 to find x

∵ [tex]\frac{2x}{2}[/tex] = [tex]\frac{500}{2}[/tex]

∴ x = 250

∵ x represents the number of hamburgers

∴ There were 250 hamburgers sold on Saturday.

Answer:

-3d+5=-3 is d=8/3

3d-9 is (d-3)

Step-by-step explanation:

Answer:

  y  = 12

Step-by-step explanation:

The equation of the expression is given as;

              2y  = 24

We are to write in slope form';

    In slope form, an equation is expressed as;

             y = mx + c

where y and x are the intercept

               m is the slope

                c is the intercept

Now to write 2y = 24 in intercept form, we have;

                 2y  = 24

  divide both sides by 2;

                y  = 12

The next two term is 13 and 16 respectively.

Step-by-step explanation:

here,

a1 = -2

a2 = 1

a3 = 4

a4 = 7

a5 = 10

So, d = a2 - a1 = 1 - (-2) = 3

= a3 - a2 = 4 - 1 = 3

Here, Common difference is same everywhere and the value of d is 3

Then,

To find 6th term of this sequence

a6 = a5 + d

= 10 + 3

a6 = 13

To find 7th term of this sequence

a7 = a6 + d

= 13 + 3

a7 = 16

Thus, The next two term is 13 and 16 respectively.

-TheUnknownScientist

Answer:

Step-by-step explanation:

x^2-10x+21

(x-7)(x-3)

find the 2 numbers that when multiplied make the last number or +21 and when combined make the middle number of -10. -7*-3 = 21 and -7+-3=10

Answer:

(x - 7)(x - 3)

Step-by-step explanation:

Given

x² - 10x + 21

Consider the factors of the constant term (+ 21) which sum to give the coefficient of the x- term (- 10)

The factors are - 7 and - 3 , since

- 7 × - 3 = + 21 and - 7 - 3 = - 10, thus

x² - 10x + 21 = (x - 7)(x - 3) ← in factored form

Answer:

Step-by-step explanation:

Let functions be

As per given ratios:

The smallest slope belongs to f(l), greater - f(d), the greatest - f(j)

Possible graphs reflecting the functions are graph 1 and graph 3

Answer:

2

Step-by-step explanation:

Answer:

It would be 2x -5=y

Step-by-step explanation:

The equation for the two points is 2x -5=y so the slope intercept would be 2x -5=y

Answer:

300

Step-by-step explanation:

Evaluate 2 y^2 (y + x) where x = 1 and y = 5:

2 y^2 (y + x) = 2×5^2 (1 + 5)

Hint: | Evaluate 1 + 5.

1 + 5 = 6:

2×5^2×6

Hint: | Evaluate 5^2.

5^2 = 25:

2×25×6

Hint: | Multiply 2 and 25 together.

2×25 = 50:

50×6

Hint: | Multiply 50 and 6 together.

50×6 = 300:

Answer: 300

Answer:

14x>200+5.5, She must sell 15 or more vases

Step-by-step explanation:

14x>200+5.5

14x>200+5.5

14x>205.5

x>14.68*

She must sell 15 or more vases

*You round up because you cannot sell a partial vase

Answer:

14v > 200 + 5.50v, she will have to sell 24 vases to make a profit

Step-by-step explanation:

It costs $5.50 PER VASE for materials, so you would subtract this from what she sells each vase for. 14 - 5.50 = 8.50. She makes an $8.50 profit per vase sold. We can write 8.50n > 200 to show her profit margin minus the booth fee. If she sold 24 vases, she would be making a profit and this would represent the lowest amount of vases she can sell to make a profit. We can write the inequality 24 ≤ n to show that she can sell 24 vases or more to make a profit.

14n > 200 + 5.50n

336 > 332, true

n > 23

Hope This Helps!

Answer: copper, silver, gold

Step-by-step explanation:

Answer:

copper siver gold

Step-by-step explanation:

i had this question too

Answer:

105 [tex]cm^{2}[/tex]

Step-by-step explanation:

I hope this helps!

Answer:

B- 105 cm

Step-by-step explanation:

It 's an isosceles triangle if you look carefully. 2 Sides of the triangle are equal which is denoted by those marks. The angles opposite to the equal sides are always equal, so: [tex]m\angle FST = 64^\circ[/tex]

By angle sum property, [tex]m\angle TFS = 180 - 2 * 64 = 180 - 128 = 52^\circ[/tex]

52 degrees is the answer: Option D :D

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[tex]

FT = FS \: \: → \: \: angle \: \: T = angle \: \: S \\ [/tex]

Thus ;

[tex]angle \: \: S = 64°[/tex]

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Sum of the interior angles of any triangle is 180° .

Thus ;

[tex]T + F + S = 180°[/tex]

[tex]64° + F + 64° = 180°[/tex]

[tex]F + 128° = 180°[/tex]

Subtract sides 128°

[tex]F + 128° - 128° = 180° - 128° \\ [/tex]

[tex]F = 52°[/tex]

So :

[tex]TFS = F = 52°[/tex]

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The correct answer is Option four .

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Answer:2x-5y=-15

Step-by-step explanation:

Answer:

There are 28 horses and 140 cows

Step-by-step explanation:

Given

Animals: Cows and Horses

Represent Cows with c and Horses with h

For the first equation, we complete it as thus:

[tex]c = 5h[/tex]

This is so because there are 5 times as many c as h

The second equation will be completed as:

[tex]c + h = 168[/tex]

This is so because the total animals are 168

So, we have:

[tex]c = 5h[/tex]

[tex]c + h = 168[/tex]

Substitute 5h for c in the second equation

[tex]c + h = 168[/tex]

[tex]5h + h = 168[/tex]

[tex]6h= 168[/tex]

Solve for h

[tex]h = 168/6[/tex]

[tex]h = 28[/tex]

Recall that:

[tex]c = 5h[/tex]

[tex]c = 5 * 28[/tex]

[tex]c = 140[/tex]

Hence, there are 28 horses and 140 cows

Answer:

The slope of a line characterizes the direction of a line. To find the slope, you divide the difference of the y-coordinates of 2 points on a line by the difference of the x-coordinates of those same 2 points .

Answer: 15.3 (with a repeating bar over the 3)

Answer:

15.3333

Step-by-step explanation:

i think it is that because its reocurring

Answer:

32 Nickels

Step-by-step explanation:

Given

Coins: Nickels (N) and Dimes (D)

$0.05 = 1 nickel and $0.10 = 1 dime

So, the amount implies:

[tex]0.05N + 0.10D = 6.20[/tex]

The number of coin implies:

[tex]D = 14 + N[/tex]

Required

Determine the number of nickels found

Substitute 14 + N for D in [tex]0.05N + 0.10D = 6.20[/tex]

[tex]0.05N + 0.10(14 + N) = 6.20[/tex]

[tex]0.05N + 1.4 + 0.10N = 6.20[/tex]

Collect Like Terms

[tex]0.05N + 0.10N = 6.20 - 1.4[/tex]

[tex]0.15N = 4.8[/tex]

Solve for N

[tex]N = 4.8/0.15[/tex]

[tex]N = 32[/tex]

Hence, he found 32 nickels

Answer:

The linear function is: p(x) = 3x+65The linear function is: p(x) = 3x+65

Step-by-step explanation:

Let x be the number of t-shirts and y be the total pay

As we can clearly see in the table that there is a linear relationship between x and y

A linear function is given as:

[tex]y = mx+b[/tex]

Here m is the gradient of the function then

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

Taking any two pairs of x and y

(1,68) and (2,71)

[tex]m = \frac{71-68}{2-1}\\m = 3[/tex]

Putting in equation

[tex]y = 3x+b[/tex]

Putting a pair (1,68) in the equation to find the value of b

[tex]68 = 3(1) + b\\68 = 3+b\\b = 68-3\\b = 65[/tex]

Putting the value of b

[tex]y = 3x+65[/tex]

Let p(x) be the linear function

Hence,

The linear function is: p(x) = 3x+65

Answer:

y=3x+65

Step-by-step explanation:

Answer: 1.19047619048 as a fraction equals 119047619048/100000000000

Step-by-step explanation: To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

1.19047619048 = 1.19047619048/1 = 11.9047619048/10 = 119.047619048/100 = 1190.47619048/1000 = 11904.7619048/10000 = 119047.619048/100000 = 1190476.19048/1000000 = 11904761.9048/10000000 = 119047619.048/100000000 = 1190476190.48/1000000000 = 11904761904.8/10000000000 = 119047619048/100000000000

Answer:

119047619048/100000000000

Step-by-step explanation:

To write 1.19047619048 as a fraction you have to write 1.19047619048 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number. And finally, we have: 1.19047619048 as a fraction equals 119047619048/100000000000

Step-by-step explanation:

we multiply both sides by the denominator on the right to eliminate fraction, so we have..

p*(n+a)= (n²+a/n+a)*n+a

so we have

p(n+a)= n²+a

so opening the bracket on the left hand side we have,

p*n+p*a

pn+pa

so,

pn+pa= n²+a

so collecting like terms we have,

pn-n²= a-pa

so removing a from the equation on the right hand side we have,

pn-n²=a(1-p)

dividing both sides by the equation in the bracket on the right hand side, we have..

pn-n²/(1-p)= a

a = pn-n²/1-p

or

a = n(p-n)/1-p

Answer:

(6r+7)+(13+7r)=13r+20

(13-1/2r)-(1-r)=12-1/2r

(-8-r)+(2r-4)=-12+r

Last one is r-13/6

Step-by-step explanation:

Answer:

The rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

Step-by-step explanation:

Given

[tex]25x - 4y = 50[/tex]

Required

Determine the rate of change of y w.r.t x

[tex]25x - 4y = 50[/tex]

First, make y subject of formula

[tex]4y = 25x- 50[/tex]

Divide through by 4

[tex]y = \frac{25x}{4} - \frac{50}{4}[/tex]

[tex]y = \frac{25x}{4} - 12.5[/tex]

Next, we differentiate the above w.r.t to x

The result of the differentiation is the solution to the question

[tex]y' = 1 * \frac{25x^{1-1}}{4} -0[/tex]

[tex]y' = 1 * \frac{25x^0}{4}[/tex]

[tex]y' = 1 * \frac{25*1}{4}[/tex]

[tex]y' = \frac{25}{4}[/tex]

Hence, the rate of change is y with respect to x is [tex]\frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

Rate of change of a function with respect to a variable is called derivative of that function with respect to that variable .

Here given relation is 25x-4y=0

[tex]\Rightarrow 4y=25x\\\\\Rightarrow y=\frac{25x}{4}[/tex]

We have to calculate rate of change of y with respect to x so we will calculate derivative of y with respect to x.

we can calculate derivative of y with respect to x as

[tex]\frac{dy}{dx}= \frac{d}{dx} (\frac{25x}{4})\\\\[/tex]

As 25/4 is constant we can take it out from derivative function as it is

[tex]\frac{dy}{dx}= (\frac{25}{4})\frac{dx}{dx}\\\\[/tex]

And we know derivative of a variable with respect to itself is 1

so

[tex]\frac{dy}{dx}= (\frac{25}{4})\times 1\\\\ \frac{dy}{dx}= \frac{25}{4}[/tex]

By calculating derivative of y with respect to x we got rate of change of y with respect to x for 25x-4y=0 is 25/4

To learn more about derivative visit: https://brainly.com/question/25081524