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Tanya [424]
2 years ago
10

The equation of a circle is (x-1)^2 +(y-2)^2=4. What is the center of the circle and what is the radius of the circle?

Mathematics
1 answer:
Virty [35]2 years ago
8 0

Answer:

Step-by-step explanation:

(x-1)²+(y-2)² =4 compare the given equation with the general one

(x-h)² +(y-k)² =r², where (h, k) are coordinates of the center and r is radius

so center is at ( 1, 2) and radius is 2

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To find out approximately how many minutes students in a high school are spending texting while in class, the guidance counselor
slega [8]

Add all the minutes together, then divide by the number of students:

21+35+77+48+24+29+37+98+30+7 = 406 total minutes

10 students.

Average = 406 / 10 = 40.6 minutes per week.

The answer is A.

6 0
3 years ago
What is the measure of ∠x?
Semmy [17]

Answer:

We know angle AOC is a right triangle,

therefor

90 - 73 = x

Angle X is 17.

8 0
3 years ago
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Joline is solving the equation 0 = x2 – 5x – 4 using the quadratic formula. Which value is the negative real number solution to
Tomtit [17]

Answer:

-5.7

Step-by-step explanation:

OUR EQUATION IS A QUADRATIC EQUATION

Let Δ be our dicriminant :

  • a= 1
  • b= 5
  • c= -4
  • Δ= 5²-4*1*(-4) =25 +16 =41≥0
  • so we have two solutions x and y
  • x= (-5-√41)/2 = -5.7
6 0
3 years ago
Which long division problem can be used to prove the formula for factoring the difference of two perfect cubes?
Stells [14]

Answer:

<h2>a³-b³  = (a-b)(a²+ab+b²)</h2>

Step-by-step explanation:

let the two perfect cubes be a³ and b³. Factring the  difference of these two perfect cubes we have;

a³ - b³

First we need to factorize (a-b)³

(a-b)³ = (a-b) (a-b)²

(a-b)³ = (a-b)(a²-2ab+b²)

(a-b)³ = a³-2a²b+ab²-a²b+2ab²-b³

(a-b)³ = a³-b³-2a²b-a²b+ab²+2ab²

(a-b)³ = a³-b³ - 3a²b+3ab²

(a-b)³  = (a³-b³) -3ab(a-b)

Then we will make a³-b³ the subject of the formula from the resultinh equation;

a³-b³ =  (a-b)³+ 3ab(a-b)

a³-b³  = a-b{(a-b)²+3ab}

a³-b³  = a-b{a²+b²-2ab+3ab}

a³-b³  = (a-b)(a²+b²+ab)

a³-b³  = (a-b)(a²+ab+b²)

The long division problem that can be used is (a-b)(a²+ab+b²)

3 0
3 years ago
HELPP ASAP I WILL GIVE 14 POINTS
jek_recluse [69]

Given:

A box-and-whisker plot of data set.

To find:

The percentage of the data values that are greater than 80.

Solution:

From the given box-and-whisker plot, it is clear that:

Minimum value = 8

First quartile = 60

Median = 68

Third quartile = 80

Maximum value = 92

We know that the 25% the data value are greater than or equal to third quartile because the third quartile divides the data in 75% to 25% and 80 is the third quartile.

Therefore, about 25% of the data values that are greater than 80.

5 0
2 years ago
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