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Dennis_Churaev [7]

4 years ago

8

Which equation represents a circle with a center at (2,-3) and a radius of 11

1 answer:

Verdich [7]4 years ago

8 0

Answer:

x^2-4x+y^2+6y-108=0

Step-by-step explanation:

$The- equation- of- circle- with -center- at- (h,k) -and -a -radius- of- r -is: \\(x-h)^2 +(y-k)^2 = r^2\\h = 2 , \\ k = -3\\r = 11\\(x-2)^2+(y-(-3))^2 = 11^2\\(x-2)^2+(y+3)^2 = 121\\x^2-4x+4 +y^2+6y+9 = 121\\x^2 -4x+y^2+6y+4+9=121\\x^2 -4x+y^2+6y+13=121\\x^2 -4x+y^2+6y=121-13\\x^2 -4x+y^2+6y= 108\\x^2 -4x+y^2+6y-108 = 0$

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Several people form groups with four people in each group.Write an expression for the number of groups formed by p people. How m

Iteru [2.4K]

Answer:

Number of groups formed by '<em>p</em>' people = $\frac{p}{4}$

Number of groups formed with 28 people = 7

Step-by-step explanation:

We are given that, there are 4 people in 1 group.

Now, at first we have to find the number of groups formed by '<em>p'</em><em> </em>people.

Here, we will use the unitary method.

Number of group formed with 4 people = 1

So, number of group formed with 1 person = $\frac{1}{4}$

∴ number of groups formed with '<em>p'</em> people = $\frac{1}{4}\times\;p=\frac{p}{4}$

So, the required expression for the number of groups formed by '<em>p</em>' people is $\frac{p}{4}$

Now, secondly we have to find the number of groups formed by 28 people.

As, we know that number of groups formed with '<em>p</em>' people = $\frac{p}{4}$

Now, putting '<em>p'</em> = 28 in the expression obtained above, we get

number of groups formed by 28 people = $\frac{28}{4} =7$

So, there are 7 groups formed with 28 people.

8 0

3 years ago

I Nisa buy dollars worth of stock and gained $25 per year Kevin bad for hundred dollars worth of stock in the last $35 per year

alisha [4.7K]

Answer: x= 5 years and y = $225

Step-by-step explanation:

Since we have given that

Amount Nisa gained per year = $25

Amount Kevin lost per year = $35

According to question,

$y=100+25x\\\\and\\\\y=400-35x$

so, it becomes,

$100+25x=400-35x\\\\25x+35x=400-100\\\\60x=300\\\\x=\frac{300}{60}\\\\x=5$

so, For x= 5 years,

Their income of Nisa and loss of Kevin will be

$y=100+25x\\\\y=100+25\times 5\\\\y=100+125\\\\y=\$225$

4 0

3 years ago

Write an equation for the line that passes through (−10,3) and whose slope is undefined. Give an answer in standard form.

PSYCHO15rus [73]

Answer:

y=-10x+3

Step-by-step explanation:

The slope is -10

7 0

3 years ago

. What are the equation and slope of the line that is parallel to the y-axis and goes through the point (1,-2)?

Brrunno [24]

The answer:

x = 1

Explanation:

If the line is parallel to the y-axis it has no slope, so you would only write down the x-intercept.

8 0

3 years ago

What is the solution to this equation?

pychu [463]

Answer:

A. x = 3

Step-by-step explanation:

5x+15 + 2x = 24 +4x

7x+15=24+4x

7x+15-15=24+4x-15

7x=4x+9

7x-4x=4x+9-4x

3x=9

3x/3=9/3

x=3

4 0

2 years ago

Read 2 more answers