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ExtremeBDS [4]
3 years ago
15

Vertex:(4,3) focus:(-4,3) write the equation ​

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0
Focal length p = distance between focus and vertex = 8
x = (1/(4p))(y-3)²+4
x = (1/32)(y-3)²+4
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Find an equation of the line passing through the given points (1,-3) and (3,3)
chubhunter [2.5K]

ANSWER: y= 3x - 6

STEP-BY-STEP EXPLANATION:

(1,-3) and (3,3)

X1=1           X2=3

Y1= - 3       Y2=3

1) Find the slope of the line.

To find the slope of the line passing through these two points we need to use the slope  formula:

m = \frac{Y2-Y1}{X2-X1}

m= \frac{3-(-3)}{3-1}   m=\frac{6}{2} = 3

2)Use the slope to find the y-intercept.

Now that we know the slope of the line is 3 we can plug the slope into the equation and  we get:

y= 3x+b

Next choose one of the two point to plug in for the values of x and y. It does not matter  which one of the two points you choose because you should get the same answer in either  case. I generally just choose the first point listed so I don’t have to worry about which  one I should choose.

y= 3x+b       point (1,-3)

-3= 3(1) + b

-3-3=b

-6=b

3)Write the answer.

Using the slope of 3 and the y-intercept of -6 the answer is:

y = 3x - 6

6 0
3 years ago
10. Jenna flips two pennies 105 times. How
Studentka2010 [4]

Answer:

26

Step-by-step explanation:

When you flip two coins, you can have 4 different outcomes:

HH

HT

TH

TT

All outcomes are equally likely, but notice that if you do not keep track of which coin is which, you will get 1/4 of the flips to be both heads, 1/4 of the flips to be both tails, and 1/2 of the flips to be one heads and one tails.

p(both heads) = 1/4

With 105 flips, the expected number of both heads is

105 * 1/4 = 26.25

Answer: 26

7 0
3 years ago
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