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inessss [21]
1 year ago
6

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options. x2

+ (y – 3)2 = 36 x2 + (y – 5)2 = 6 (x – 4)² + y² = 36 (x + 6)² + y² = 144 x2 + (y + 8)2 = 36
Mathematics
2 answers:
Neporo4naja [7]1 year ago
7 0

Answer:

A & E

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

olga55 [171]1 year ago
3 0

Answer:

x^2 + (y – 3)^2 = 36

Step-by-step explanation:

The standard equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.

If the center lies on the y-axis, then h = 0:  (x - 0)^2 + (y - k)^2 = r^2

If the circle diameter is 12, then the circle radius is 6, and so r^2 = 36

So, among the given equations, your

x^2 + (y – 3)^2 = 36 is correct (but only if you use " ^ " for exponentiation).

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Which function has a Vertex at the origin f(x)= (x+4)^2, f(x) x(x-4), f(x)=(x-4)(x+4), f(x)=-x^2
Studentka2010 [4]
First of all, we need to know what is the vertex means which is the maximum or minimum point of a parabola and the formula will be:
x=-b/2a
Where b and a from
f(x)=ax^2+bx+c
So do find which function has a vertex of origin. Let's find the vertex of all the function that we had:
f(x)=(x+4)^2
f(x)=(x+4)(x+4)
f(x)=x^2+8x+16
x=-b/2a
x=-8/2(1)
x=-8/2
x=-4
Not the right answer because the vertex needs to be origin which is x=0

f(x)=x(x-4)
f(x)=x^2-4x
x=-b/2a
x=-(-4)/2(2)
x=4/4
x=1
Not the right answer

f(x)=(x-4)(x+4)
f(x)=x^2-16
x=-0/2(1)
x=0
Yay! This is the right answer. As a result, f(x)=(x-4)(x+4) is your final answer. Hope it help!
7 0
1 year ago
A movie theater manager wants to determine whether popcorn sales have increased since the theater switched from using "butter-fl
labwork [276]

Answer:

The function that would correctly calculate the 90% range of likely sample means is given by:

B. 4,200±CONFIDENCE.T(0.10,140,12)

Step-by-step explanation:

In Microsoft Excel, the syntax

CONFIDENCE.T(alpha,standard-dev,size)  returns the confidence  interval for the population mean, using the students T-distribution.Alpha=1-90\%=10\%=0.10

The standard deviation is given as $140 and the sample size is 12.

In constructing the confidence  interval we use:

\bar X\pm CONFIDENCE.T(alpha,standard-dev,size)  

Let us substitute the values to get:

4,200\pm CONFIDENCE.T(0.10,140,12)

We use the T distribution because \sigma is unknown

8 0
1 year ago
Team, you have the opportunity to earn great bonuses this quarter. Your goal is to beat our competition, which brings in $1,800,
nikklg [1K]

They will have to bring in more than $600,000 a month to beat their competitors.

Step-by-step explanation:

Step 1; This establishment's competitors bring in $1,800,000 per quarter. This means that they bring in that amount of money through sales in a quarter of a year.

A quarter of a year = \frac{1}{4} × 12 months = 3 months.

So the competition brings in $1,800,000 in 3 months.

Step 2; Now we calculate how much this establishment must make to beat them.

Money to brought in a month = $1,800,000 / 3= $600,000 a month.              So the team must bring in more than $600,000 a month to beat their competitor's sales of $1,800,000 in a quarter.

5 0
2 years ago
On a coordinate plane, a circle has a center at (negative 2, 0). Point (negative 2, 4) lies on the circle. Distance formula: Sta
vivado [14]

Answer:

its B on Ed

Step-by-step explanation:

4 0
1 year ago
Read 2 more answers
Consider the following equation, bh+hr=25 when solving for r
Komok [63]
Solve for r.

You want to get r by itself on one side on the equal sign.

bh + hr = 25

Subtract bh from both sides.

hr = 25 - bh

Divide h on both sides.

r = 25 - bh / h

The two h's cancel each other out.

r = 25 - b

Hope this helps!
4 0
1 year ago
Read 2 more answers
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