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Enter the equation of the circle described below. Center (3, -2), radius = 5

coldgirl [10]

The equation of a circle is (x-h)^2+(y-k)^2=r^2, where (h,k) is the center and r is the radius. Our equation will be (x-3)^2+(y+2)^2=25 (remember to always square the radius).

:)

6 0

3 years ago

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write the slope intercept equation. the graph of f passes through (-6,4) and is perpendicular to the line that has an x-intercep

Nimfa-mama [501]

Answer:

y = $-\frac{1}{3} x$ + 2

Step-by-step explanation:

The slope of the line that has an x intercept of (2,0) and y-intercept of (0,-6) is:

Slope(s) = Change in y ÷ change in x

s = $\frac{0 - -6}{2 - 0}$ = 3

The slope of the perpendicular line to this line with slope of 3 has to have a slope of -1 ÷ 3 = $-\frac{1}{3}$

Reason: The product of slopes of lines perpendicular to each other have to be -1

So the slope of the perpendicular line that passes through (-6,4) is $-\frac{1}{3}$

As mentioned earlier, we derive a slope of a line by dividing the change in y by the change in x

Taking another point (x,y) on the line,

$-\frac{1}{3}$ = $\frac{y - 4}{x - -6}$

$-\frac{1}{3}$ = $\frac{y - 4}{x + 6}$

y - 4 = $-\frac{1}{3}$ x - 2

y = $-\frac{1}{3}$ x + 2

5 0

2 years ago

Alfredo has different colored spiral notebooks in his backpack. Which of the following models could be used to simulate a 1 in 3

BartSMP [9]

Answer:

the fourth option

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

Probability of choosing a red spiral = number of red spiral / total sum of spirals in the bag

1st option = 2 / 4 = 1/2

2nd option = 4/8 = 1/2

3rd option = 2/3

4th option = 2/6 = 1/3

the fourth option is correct

4 0

2 years ago

(N^16) 1/4 Need help

Shtirlitz [24]

Answer:

${n}^{16} \times 1 \div 4 \\ {n}^{4}$

Step-by-step explanation:

4 times 4 is 16 so while both are in power so we can do this like that

6 0

3 years ago

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I need the answer to a parts I-iii and the answer to b

fomenos

Answer:

a)

i) Mean = 72

ii) Median = 72

iii) Mode = 72

b)

69, 70, 71, 72, 72, 72, 73, 74, 75

Step-by-step explanation:

a. To find mean, median and mode

It is given that all the 9 students get 72 marks.

Therefore the data set be,

72, 72, 72, 72, 72, 72, 72, 72 72

i) mean = (sum of data)/(total number of data)

= (9 * 72)/9 = 9

ii) Median - Central data in the data set when arranging ascending or descending order

72, 72, 72, 72, 72, 72, 72, 72 72

Median = 72

iii) Mode - Most repeating data in the data set

Here mode = 72

b). To find a data set

69, 70, 71, 72, 72, 72, 73, 74, 75

Here Mean, mode and median are all 72

3 0

3 years ago