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natta225 [31]
3 years ago
5

A coin will be tossed three times, and each toss will be recorded as heads (

Mathematics
1 answer:
Westkost [7]3 years ago
8 0
T,h,t,h,t,t,h,h,h,t,h,t,h,h
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What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?
telo118 [61]

Answer:

f(x)=-\frac{1}{8}(x-3)^2+3

Step-by-step explanation:

We want to find the equation of the parabola with a focus of (3,1) and directrix y=5.

Considering the directrix, the quadratic graph must open downwards.


The equation of this parabola is given by the formula,

(x-h)^2=4p(y-k), where (h,k) is the vertex of the parabola.


The axis of this parabola meets the directrix at (3,5).

Since the vertex is the midpoint of the focus and the point of intersection of the axis of the parabola and the directrix,


h=\frac{3+3}{2}=3 and k=\frac{5+1}{2}=3.


The equation of the parabola now becomes,


(x-3)^2=4p(y-3).


Also |p| is the distance between the vertex and the directrix.


|p|=2


This implies that p=-2\:or\:2.


Since the parabola turns downwards,


p=-2.



Our equation now becomes,


(x-3)^2=4(-2)(y-3).


(x-3)^2=-8(y-3).


We make y the subject to get,

y=-\frac{1}{8}(x-3)^2+3).


This is the same as

f(x)=-\frac{1}{8}(x-3)^2+3).









4 0
2 years ago
Which of the following is not a correct statement or outcome for multiplying matrices?
Thepotemich [5.8K]

Answer:

  neither

Step-by-step explanation:

<em>Both statements are correct.</em>

If matrix 1 has dimensions (r1, c1) and matrix 2 has dimensions (r2, c2), their product can be formed if c1 = r2. The resulting product matrix will have dimensions (r1, c2).

5 0
3 years ago
Put the following fractions in order from greatest to least:
Bumek [7]
The answer is

8/4

7/5

4/3

7/10

3 0
3 years ago
A)4(3х+4)<br> B)- 60(-7 х - 3)<br> With solution please <br> Urgent
lbvjy [14]

happy with solution rate this

6 0
3 years ago
Read 2 more answers
How much solutions does this equation have?
Evgesh-ka [11]

Answer:

All solutions or infinite.

Step-by-step explanation:

Turn 2y = -4x + 6 into standard form - divide by 2

Y = -2x + 3

2x + y = 3

Substitute the y equation in for y.

2x - 2x + 3 = 3

The x variables cancel out.

3 = 3

Which is true so it means all solutions.

Hope this helps.

8 0
3 years ago
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