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2 years ago

Can someone help me match these

Mathematics

1 answer:

zavuch27 [327]2 years ago

8 0

1. x^2 + y^2 - 4x + 12y - 20 = 0 ---- (x-2)^2 + (y+6)^2 = 60

3. 3x^2+ 3y^2 + 12x +18y - 15 = 0 --- (x+2)^2 + (y+3)^2 = 18

5. 2x^2 + 2y^2 - 24x - 16y - 8 = 0 --- (x-6)^2 + (y-4)^2 = 56

I don't know the other two, hope I helped though.

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3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probabili

choli [55]

Answer:

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Step-by-step explanation:

Given that :

Number of red balls = 4

Number of Blue balls = 3

Total number of balls = (4 + 3) = 7

Picking without replacement :

Number of picks = 2

1st pick is red :

Probability = (required outcome / Total possible outcomes)

USing combination formula :

nCr = n! / (n-r)! r!

Total possible outcome :

7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21

X = number of red

For red = 0;

P(x =0) = required outcome / Total possible outcomes

P(x = 0)

Required outcome : [4C0 * 3C2)]

P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7

P(x = 1)

Required outcome : [4C1 * 3C1)]

P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7

P(x = 2)

Required outcome : [4C2 * 3C0)]

P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7

Hence ;

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

8 0

3 years ago

How can I find the volume of this prism? Helpp

Alex

Answer:

152.971

Step-by-step explanation:

i think thats the answer but sorry if its not.

5 0

3 years ago

Brooke and Kaden each sold 15 boxes of cookies for $2.25 per box. How much

Sphinxa [80]

Answer:

They sold 67.50 in total

Step-by-step explanation:

If each of them sold 15 boxes for 2.25 then both of them got 33.75 each then you add it and that gives you 67.50

8 0

2 years ago

Which of the following is a valid comparison between the possible minimum and maximum values of the function y = -x2 + 4x - 8 an

Arturiano [62]

Answer:

The maximum value of the equation is 1 less than the maximum value of the graph

Step-by-step explanation:

We have the equation $y=-x^2+4x-8$ .

We can know that this graph will have a maximum value as this is a negative parabola.

In order to find the maximum value, we can use the equation $x=\frac{-b}{2a}$

In our given equation:

a=-1

b=4

c=-8

Now we can plug in these values to the equation

$x=\frac{-4}{-2} \\\\x=2$

Now we can plug the x value where the maximum occurs to find the max value of the equation

$y=-(2)^2+4(2)-8\\\\y=-4+8-8\\\\y=-4$

This means that the maximum of this equation is -4.

The maximum of the graph is shown to be -3

This means that the maximum value of the equation is 1 less than the maximum value of the graph

6 0

3 years ago

Can I add <img src="https://tex.z-dn.net/?f=2%5Csqrt%7B3%7D%20%2B%205%5Csqrt%7B3%7D" id="TexFormula1" title="2\sqrt{3} + 5\sqrt{

Bond [772]

Yes, they can be added and simplified further. 2√3 + 5√3 = 7√3 .

Take √3 as common factor:

2√3 + 5√3

(2 + 5)√3

7√3

The two irrational numbers sums to form another irrational number 7√3 . In decimals that is 12.12435...

5 0

2 years ago

Read 2 more answers