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lions [1.4K]
2 years ago
10

The center of a circle is at (–10, 6) and it has a radius of 4. What is the equation of the circle?

Mathematics
2 answers:
azamat2 years ago
3 0
[x-(-10)]²+(y-6)²=4²
the answer is (<span>x + 10)^2 + (y – 6)^2 = 16</span>
timofeeve [1]2 years ago
3 0

The equation of circle is given by :

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

where,

(h,k) is the center of circle and r is radius of circle.

Now we are given :

Center (h,k) as (-10,6) and radius as 4

Plugging these values in the equation ,

(x-(-10))^{2} + (y-6)^{2}  = 4^{2}

So equation of circle with center at (-10,6) and radius 4 is given by:

(x+10)^{2} + (y-6)^{2}  = 16

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What two numbers multiply to get 45 but add to get -10?
goldenfox [79]
There are no two numbers that multiply to 45 but add to -10.
This is because the only numbers that multiply to get 45 are 1x45, 3x15, 5x8. None of them can add to -10 even if you make some of the numbers negative instead.

If this is a factoring problem, you may have to use the quadratic equation instead.
7 0
2 years ago
A class of 28 students can complete 896 math problems in one day how many problems does each student complete
maksim [4K]

Answer:

<em>32</em>

Step-by-step explanation:

Assuming they all complete it at the same rate,

<u>896/28 = 32</u>

3 0
3 years ago
How are percents greater than 100% used in real world contexts
docker41 [41]

Answer:

Think of investments. If you were to invest $100 into a company and receive $200 dollars, then you would have made $100 in profit, which is 100% of your initial amount. So, if you were to invest $100 and receive $250 dollars in profit, then you would have made an extra $150, which is even more than your initial amount of $100. In this case, you would have made a 150% increase on your money.

(I deserve to be the brainliest )

3 0
2 years ago
The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of
katen-ka-za [31]

Answer:  The explanation is correct.

Step-by-step explanation:

The interpretation of 95% confidence interval for population mean is that "A person can be 95% sure that the true population mean lies in it."

Given : The admissions director from Big City University found that (107.8, 116.2) is a 95% confidence interval for the mean IQ score of all freshmen.

Interpretation: The admissions director can be 95% sure that the true population mean IQ score of all freshmen lies in  (107.8, 116.2).

i.e. There is a 95% probability (chance) that the interval from 107.8 to 116.2 contains μ.

Hence, the  explanation is absolutely "correct" .

7 0
3 years ago
2x2 + 2x-4?
nexus9112 [7]
Answer:

2x^2 +2x-4
——————
2x^2-4x+2

Factor out 2 from the expression

2(x^2+x-2)
—————-
2(x^2-2x+1)

Write x as a difference

2(x^2x-x-2)
—————-
2(x^2-2x+1)

Use a^2-2ab+b^2=(ab)^2

2(x^2x-x-2)
—————-
2(x-1)^2

Reduce the fraction with 2

x^2x-x-2
—————-
(x-1)^2

Factor out x from the expression

X*(x^2)-x-2
—————-
(x-1)^2

Factor out negative sign from the expression

X*(x+2)-(x-2)
—————-
(x-1)^2

Factor out x+2 from the expression

(x+2)(x-1)
—————-
(x-1)^2

Simplify the expression

x+2
——
x-1

6 0
2 years ago
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