What is the coordinate of the center in the given equation? (x − 4)2 + y2 = 90

Answers

Answer 1
That’s just the equation for a circle. The center would be (4,0)...you just set whatever is in the parentheses to 0 for both x and y.
Answer 2

Answer:  (4,0)

========================================================

Explanation:

The given equation is the same as (x-4)^2 + (y-0)^2 = (sqrt(90))^2

It is in the form (x-h)^2 + (y-k)^2 = r^2

We have the following

h = 4k = 0r = sqrt(90)

The center is (h,k) = (4,0) and the radius is sqrt(90) units


Related Questions

8/12 = 2/9
What is the answer hurry please due today

Answers

Answer:

1/3

Step-by-step explanation:

f(x) = -2x^3 + 3(x + 2). Does this mean that it's f(3) = -39

Answers

Answer:

Step-by-step explanation:

lets replace x with 3

f(3)= -2(3)^3+3(3+2)=-2*27+15=-54+15=-39

What fractions are equivalent to terminating decimals?

Answers

Option B since -7/15 equals -0.4666...

Hope it helps!

-12 + 3p = 3
what does p equal

Answers

Answer:

p=5

Step-by-step explanation:

Answer:

p = 5

Step-by-step explanation:

-12 + 3p = 3

3p = 3 + 12

    = 15

p = 15 ÷ 3

p = 5

What is the difference of –96.43 – (–98.67)?

Answers

Answer:

2.24

Step-by-step explanation:

This problem can actually be changed from a subtraction problem to an addition problem. Two negative signs together make a positive.

So, the problem becomes:

-96.43

+ 98.67

Now, remember this phrase to help solve problems like this:

Same sides add and keep. Different signs subtract. Keep the sign of the higher number.

That equation would become -96.43 + 98.67 which would be 2.24

There are 10 triangles and 4 circles. What is the simplest ratio of circles to total shapes?

Answers

Answer: 5:2

Step-by-step explanation:

Well, you are going to find a number they both divide by in this case it is 2

10/2=5

4/2=2

Now when rewriting your numbers make sure to put what comes first first

5:2

5 and 2 can not be divided evenly anymore so your final answer is 5:2

Hope this helped!

A shoe store costs 1800 dollars a month to operate. The average wholesale cost of each pair of shoes is 25 dollars, and the average price of each pair of shoes is 65 dollars. How many pairs of shoes must the store sell each month to break even?​

Answers

Answer: 45

Step-by-step explanation:

The store has to sell  

45

pairs of shoes.

Explanation:

The store has a base cost of  

$

1800

, the cost per pair of shoes is  

$

25

. Each pair of shoes is sold for  

$

65

, therefore the profit per pair of shoes is

$

65

$

25

=

$

40

The formula for calculating the amount that needs to be sold would look like this;

40

x

=

1800

To determine the value of  

x

, we take this formula;

x

=

1800

40

x

=

45

Therefore, the store needs to sell  

45

pairs of shoes to break even.

The price of a video game was reduced from 60 to 45 . By what percentage was the price of the video game reduced

Answers

Answer:

The price was reduced from $60 to $45 - So the price was reduced by $15. $15 is what percent of the original price of $60? Percentages can be expressed as fractions or decimals. For example, 30% is the same as 0.30 or 30/100.

A band expects to put 16 songs on their next CD. The band writes and records 50% more songs than
they expect to put on the CD. During the editing process, 62.5% of the songs are removed. How many
songs will there be on the final CD?

Answers

Answer: this is wrong there will be 28

Step-by-step explanation:

Answer:

Its 9

Step-by-step explanation:

I CAN GIVE BRAINLIEST PLEASE HELPPP

Answers

Answer:

the slope is 3/1 or 3

Step-by-step explanation:

you look at a point where the line goes thru the graph lines and count spaces in between

dont forget to mark me brainliest plzzzz

Answer:

the answer  is 3/1 or 3

Step-by-step explanation:

don't forget to brainliest me please.

The number N(t) of people in a community who are exposed to a particular advertisement is governed by the logistic equation. Initially, N(0) = 200,and it is observed that N(1) = 400. Solve for N(t) if it is predicted that the limiting number of people in the community who will see the advertisement is 20,000. (Round all coefficients to four decimal places.)n(t) = ?

Answers

9514 1404 393

Answer:

  n(t) = 20,000/(1 +99e^(-0.7033t))

Step-by-step explanation:

One way to write the logistic function is ...

  n(t) = L/(1 +a·e^(-kt))

where L is the maximum value and parameters 'a' and k depend on boundary conditions.

Here, we have n(∞) = L = 20,000 and n(0) = L/(1+a) = 200. We also have n(1) = L/(1+a·e^-k) = 400.

Solving for 'a', we get ...

  n(0) = 20000/(1+a) = 200

  20000/200 -1 = a = 99

Solving for k, we get ...

  n(1) = 20000/(1 +99e^-k) = 400

  20000/400 -1 = 99e^-k = 49

  e^-k = 49/99

  k = -ln(49/99) ≈ 0.7033

So, the desired function is ...

  n(t) = 20000/(1 +99e^(-0.7033t))

I need help, I will give the brainiest
Also, KJL is 54

Answers

Answer:

Step-by-step explanation:

Traingle 72 LN

Evaluate the expression for the given values.

4ab8c, where a = 8, b = 4, and ​c=12​

Enter your answer in the box.
plz halp

Answers

Answer:

4ab8c

4(8)(4)(8(12)

(32)(38)(12)

(1216)(12)

14592

Step-by-step explanation:

Please help me asap

Answers

Answer:

She walked 1.5 miles, then 0.75 miles. Hence 1.5 + 0.75= 2.25 or 2 and 1/4 a mile

mr johnson is grading english essays hes determined that he must grade 124 essays and that he can grade 8 per day how many days will it take mr johnson to grade all of the english essays

Answers

Answer:

16

Step-by-step explanation:

It shows the mulitplication bettween eachother.

What is the equation of the line that crosses the y-axis at 2 and has a unit rate of 8/2

Answers

Answer:

Step-by-step explanation:

P1 = (0,2)

M =8/2= 4

y-2=4(x-0)

y-2 = 4x

y= 4x +2

:)

The graph shows the soulution

Answers

Answer:

B. (3, -2)

Step-by-step explanation:

The solution of the system of the equations given, can be determined using the graph. The coordinate of the point where the two lines of both equations intersect is the solution.

Both lines intersect at x = 3, when y = -2.

Therefore, the solution would be (3, -2).

Solve each system .If a system's equations are dependent or if there is no solution,state this .

Please answer!

Answers

9514 1404 393

Answer:

  (x, y, z) = (-8 2/7, -10, -7 3/7)

Step-by-step explanation:

A graphing calculator or matrix solver can find the solution easily. It is ...

  (x, y, z) = (-8 2/7, -10, -7 3/7)

__

You can find y by subtracting the second equation from the third:

  (2x -y +z) -(2x -3y +z) = (-14) -(6)

  2y = -20

  y = -10

Putting this value into the first equation and either of the others gives ...

  x -3z = 14

  2x +z = -24

Subtracting twice the first of these from the second gives ...

  (2x +z) -2(x -3z) = (-24) -2(14)

  7z = -52

  z = -52/7 = -7 3/7

  x = 14 +3(-7 3/7) = -8 2/7

So, the solution is (x, y, z) = (-8 2/7, -10, -7 3/7).

Answer:

Step-by-step explanation:

No Solution!

Analyze each step to identify if Andy made an error. Yes, he made an error in Step 1. He switched the x and y values. Yes, he made an error in Step 2. He did not distribute StartFraction 3 Over 4 EndFraction properly. Yes, he made an error in Step 3. He should have subtracted 2 from both sides. No, his work is correct.

Answers

Answer:

Step 3, because the values for x for which y^1 < y^2 also include values between 3 and 5.

Step-by-step explanation:

Just took the test.

Answer:

c

Step-by-step explanation:

it just is

What is the following quotient?

Answers

Answer:  Choice B) [tex]\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\[/tex]

==========================================

Work Shown:

[tex]\frac{5}{\sqrt{11}-\sqrt{3}}\\\\\\\frac{5(\sqrt{11}+\sqrt{3})}{(\sqrt{11}-\sqrt{3})(\sqrt{11}+\sqrt{3})}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{(\sqrt{11})^2-(\sqrt{3})^2}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{11-3}\\\\\\\frac{5\sqrt{11}+5\sqrt{3}}{8}\\\\\\[/tex]

This shows why choice B is the answer.

---------------

Explanation:

In the second step, I multiplied top and bottom by [tex](\sqrt{11}+\sqrt{3})[/tex]This is so we can apply the difference of squares rule in step 3. The difference of squares rule is (x-y)(x+y) = x^2-y^2.In step 4, the square roots cancel out with the squaring operation. The two operations are inverses of one another, which is why they cancel.

So in general, if the denominator is [tex]\sqrt{a}-\sqrt{b}[/tex] and you want to rationalize the denominator, then you should multiply top and bottom by [tex]\sqrt{a}+\sqrt{b}[/tex]. The same applies in reverse as well.

This leads to the denominator becoming [tex](\sqrt{a}-\sqrt{b})(\sqrt{a}+\sqrt{b}) = (\sqrt{a})^2-(\sqrt{b})^2 = a-b[/tex]

Keep in mind that [tex]a \ge 0[/tex] and [tex]b \ge 0[/tex]

work out the subtraction equation of 5 1/4 divided by 2 5/7 equals​

Answers

Answer:

calculater or hackmath

Step-by-step explanation:

which statement best describes the solution to the system of equations?

Answers

Answer:

option a is correct

Step-by-step explanation:

I think

Answer:

D -  It has a single solution: x = -3, y = 26.

Step-by-step explanation:

In a flower basket, the ratio of red roses to white roses is 2 to 3. There are a total of 20 roses in the basket. How many red roses are in the basket?

Answers

Answer: 8 red roses are in the basket.
Explanation:
ratio is 2:3
let’s say red roses are 2x and white roses are 3x.
The total number of roses is 20, then, to find the number of red roses, write:
2x+3x= 20
5x=20
x=4
red roses are 2x
x=4,
hence, put 4 instead of x, and you will get 2*4= 8
Hope it helps!!!
If it does, then give click the brainliest button! thanks in advance!


Find the value of x and y. Show all your work neat and
in order.

Answers

Answer:

x = 21°

y = 29°

Step-by-step explanation:

a) Solving for x

Note that:

(3x - 3)° and 60° are Alternate interior angles, and alternate interior angles are equal to each other, hence:

3x - 3 = 60° (Alternate interior angles)

Add 3 to both sides

3x - 3 +3 = 60 + 3

3x = 63°

x = 63°/3

x = 21°

b) Solving for y

Notes that:

(3x - 3)° and (4y + 4)° are Consecutive interior angles and the sum consecutive interior angles is 180°

3x - 3 + 4y + 4 = 180°

3x + 4y - 3 + 4 = 180°

3x + 4y + 1 = 180°

Note that x = 21

Hence

3(21) + 4y + 1 = 180°

63 + 1 + 4y = 180°

64 + 4y = 180°

Subtract 64 from both sides

64 - 64 + 4y = 180° - 64

4y = 116°

y = 116/4

y => 29°

PLEASE ANSWER IM DESPERATE

Lincoln bought 3 bottles of an energy drink for $4.50. Write an equation relating the total cost y to the number of energy drinks bought?​

Answers

y=$1.50x, where x is the number of energy drinks bought. Each bottle costs $1.50.

Answer:

y=1.50x ...........

Step-by-step explanation:

Let x be the per-bottle price of the energy drink. Then:

3x=y=4.50

x=4.50/3

 =1.50

Then:

y=1.50x ...................

Allan bought a sweater
for $78 and a shirt for
$29. How much more did
the sweater cost than
the shirt​

Answers

Answer:

$49

Step-by-step explanation:

78 - 29 = 49

To get 49, I subtracted 29 from 78.

Use the graph to answer the questions help!

Answers

Answer:

0; 2; 6; 0 or -1

Step-by-step explanation:

If the question says "f(a)=" they are asking for the y value with the given x such as the two first ones.

If it's "f(x)=a than x=" they are asking you what x is when the (bolded) x is a given value.

the perimeter of a rectangle is 40m. one of the lengths or the sides is 5m. find the lengths of the other 3 sides.​

Answers

The perimeter of a rectangle is 40m and one side of it is 5m. What is the length of the other side using an equation?

Perimeter of the rectangle =2(l+ b)=40m

If one of its side b=5, then l = (40/2)-5

= 20–5

= 15 m Therefore

Length= 15 cm

Breadth =5 cm

Answer:

perimeter means the total distance of all sides of a shape. Rectangle has 2pairs of 2 sides with the same length. If one is 5 the other pair would be 5. So 40-5-5 would be the total of the second pair , 30. 30/2=15. So there's 2 sides with 5m each, and another 2 sides with 15m each

what is the area of this trapezoid?
plss help
i will telling you a brainlist!!!

Answers

Answer:

30in²

Step-by-step explanation:

A=1/2(4)(5+10)

A=2x15

A=30in²

Based on the data given in the..etc help fast

Answers

I don't really know but I believe it is:

Rounded to the nearest thousandth, the conditional relative frequency that an eleventh grader likes tennis is 69%.

ROunded to the nearest thousandth, the conditional relative frequency that a twelfth grader likes tennis is 51%.

Since 51% is less than 69%, a greater percent of eleventh grader like tennis.

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