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nexus9112 [7]
3 years ago
9

When you roll a pair of dice, there are several outcomes, as shown below:

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

M

Step-by-step explanation:

M

M

M

M

M

I

L

K

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Find an equation of the circle and sketch it if it has: Center on y=4, tangent x-axis at (–2, 0)
Digiron [165]

Answer:

(x+2)^2+(y-4)^2=16

OK, lets start by drawing a basic graph (the first one) so we can visualize.

We already know that the y coordinate of the circle's center is 4.

We know that the circle is tangent to the X axis at (-2,0)

That means the x coordinate of the center has to be -2, as the tangent is a point on the edge of the circle that touches a line at exactly one point.

The radius is the distance from the center of the circle to its edge. We know the center's location now, it is (-2, 4) and a point on the edge of the circle (the tangent point) which is (-2,0). so the distance between the points is 4 which is the radius (you can use the distance formula, but it's quite oblivious.)

We can imagine the circle should look like this (the second one):

Now we can piece together an equation

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. When we put the numbers in: we get (x-(-2))^2+(y-(4))^2=4^2 which can be simplified into (x+2)^2+(y-4)^2=16 which is the answer.

Step-by-step explanation:

4 0
3 years ago
Find (ƒ + g)(x) ƒ(x) = 6x2 + 3x + 1 g(x) = 2x2 – 9
gavmur [86]

Answer:

8x² + 3x - 8

Step-by-step explanation:

(f + g)(x) = f(x) + g(x)

f(x) + g(x) = 6x² + 3x + 1 + 2x² - 9 = 8x² + 3x - 8

8 0
4 years ago
( Algebra)plz can you do it?
Naya [18.7K]
I'm pretty sure the answer to this is x=65 but I could be wrong.Not very good with this kinda Algebra. 
6 0
4 years ago
What<br> 5. A circular fish pond is shown below. What<br> is the circumference of the pond?<br> 31 m
Phantasy [73]

Answer:

B) 194.7 m

Step-by-step explanation:

You use the radius value in the formula 2(pi)r.

2(pi)31 = 194.7

3 0
3 years ago
The currency in Thailand is the Baht (THB). If the exchange rate is approximately 129.60 Baht = $5.50 Canadian. How many Canadia
aleksley [76]

Answer:

1.175 Canadian dollars

Step-by-step explanation:

129.6/5.50 = 27.70/x

because the exchange ratio is the same for the two currencies, use the above equation to find the answer. Therefore, use the cross multiply system which gets you

152.23 = 129.6x

x = 1.175

5 0
3 years ago
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