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OlgaM077 [116]
2 years ago
6

What is the equation of a circle with center (9,-7) and radius 2?

Mathematics
1 answer:
kirza4 [7]2 years ago
3 0

Answer:

B. (x-9)^2 + (y + 7)^2 = 4

Step-by-step explanation:

The standard form of a circle is (x-h)^2 + (y-k)^2 = r^2. Hopefully you can memorize that, because it's very helpful in these problems!

(h,k) is our center, and r is our radius, so plug those values into the standard form:

(x - 9)^2 + (y + 7)2 = 2^2

2^2 = 4, so

<u>B. (x - 9)^2 + (y + 7)2 = 4 is our answer!</u>

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An ice cream store sells 28 flavors of ice cream. Determine the number of 4 dip sundaes.
weeeeeb [17]

Answer:

20,475\ ways

Step-by-step explanation:

we know that

<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.

To calculate combinations, we will use the formula

C(n,r)=\frac{n!}{r!(n-r)!}

where

n represents the total number of items

r represents the number of items being chosen at a time.

In this problem

n=28\\r=4

substitute

C(28,4)=\frac{28!}{4!(28-4)!}\\\\C(28,4)=\frac{28!}{4!(24)!}

simplify

C(28,4)=\frac{(28)(27)(26)(25)(24!)}{4!(24)!}

C(28,4)=\frac{(28)(27)(26)(25)}{(4)(3)(2)(1)}

C(28,4)=20,475\ ways

6 0
3 years ago
What is the solution to 0.4(12 - 3x) = 0.3(12x - 16)?<br> F. 4<br> G. 2<br> H. -2<br> J. -4
jolli1 [7]
Answer : H-2
I can sure that's the answer
6 0
3 years ago
Rite the first ten terms of a sequence whose first term is -10 and whose common difference is -2.
Lelechka [254]
-10, -10-2·1= -12, -10-2·2=-14, -10-2·3=-16, -10-2·4= -18, -10-2·5= -20,
 -10-2·6= -22, -10-2·7 =-24, -10-2·8=-26, -10-2·9=-28

a=-10
d=-2
xn=a+d(n-1)

the first ten terms are
-10, -12, -14, -16, -18, -20, -22, -24, -26, -28

8 0
3 years ago
The y-intercept of the line whose equation is 7x - 4y = 8 is what
Anni [7]
The y intercept is when x is 0. So, we have to plug in 0 for x. You can do this in many different ways as well.
7(0)-4y=8
-4y=8
Divide both sides by -4.
Y=-2
So, the Y intercept is -2 (0,-2).
6 0
2 years ago
Make a box ­and ­whisker plot of the data.<br><br> 24, 18, 29, 21, 16, 23, 13, 11
Elanso [62]
To make a box and whisker plot you must first order the data:

11, 13, 16, 18, 21, 23, 24, 29

Then find the median:

19.5

Then split the data into two sections by the median:

11, 13, 16, 18 and 21, 23, 24, 29

Now find the medians of those sets

14.5 and 23.5

With this information we can conclude Option C is the correct plot

Hope this helps!
7 0
3 years ago
Read 2 more answers
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