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kotykmax [81]
3 years ago
14

The equation of a parabola is shown.

Mathematics
1 answer:
WARRIOR [948]3 years ago
5 0
The axis of symmetry for this parabola is the x-axis. The general form of the equation is:
4p(x-h) = (y-k)^2
where the focus has the coordinates of (h+p,k)

Manipulating the given equation to the general form:
4(1/3)(x-7)^2 = (y - 0)^2

Therefore the coordinates of the focus is:
(7+(1/3),0)

The answer is A.) (71/3,0)


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Chile all 10 QuEsTiOns. My brain died.

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A box has colored balls (12 red, 10 green, 6 light blue and 8 yellow). What is the probability of drawing 2 red balls?
ale4655 [162]

Answer:

You will have a 33% chance of drawing a red ball

Step-by-step explanation:

If you do 12+10+8+6, you get 36 which then you would ratio it. 12:36, and you would convert that to a percent, which is 33%

7 0
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What is the slope of the line that passes through the points (-6, 8)(−6,8) and (-16, 33) ?(−16,33)?HELPPPPP!!!!
Marina CMI [18]

Answer:

It should be -5/2 for the points (-6,8) (-16,33)

Step-by-step explanation:

5 0
3 years ago
The axis of symmetry for a function in the from f(x) = x^2 + 4x - 5 is x = -2. What are the coordinates of the vertex of the gra
oee [108]
(-2, -9)

Simply plug -2 into the equation. 
4 0
3 years ago
Choose the equivalent system of linear equations that will produce the same solution as the one given below.
Amanda [17]
<h2>Greetings!</h2>

Answer:

Option 4

Step-by-step explanation:

Firstly, we need to make the two x's or the two y numbers the same. Lets multiply the second equation by 2:

(2x + 3y = 5 ) * 2 =

4x + 6y = 10

Now, subtract the second equation from the first one:

(4x - y = -11) - (4x + 6y = 10)

4x - 4x = 0

-y - 6y = -7y

-11 - 10 = -21

-7y = -21

Divide both sides by -7:

y = 3

Plug 3 into the first equation as y:

4x - 3 = -11

4x = -11 + 3

4x = -8

x = -2

So x = -2 and y = 3. We need to find one of the options that equals this.


<h3>Option  1)</h3>

-4x - 9y = -21

-10y = -30

40x - 90y = -210

-90y = -270

40x - 0 = 40x

-90y - - 90y = -90 + 90 = 0y

-210 - -270 = -210 + 270 = 60

40x = 60

x = 1.5

We already know this isn't equivalent because the x value is not the x value of the given equation.


<h3>Option 2) </h3>

4x + 3y = 5

2y = -6

_______

8x + 6y = 10

6y = -18

8x - 0 = 8x

6y - 6y = 0

10 - -18 = 10 + 18 = 28

8x = 28

x = 3.5

So we know this isn't equivalent because again, the x value isn't the same as the given equation.


<h3>Option 3</h3>

7x - 3y = -11

9x = -6

-----------

63x - 27y = -99

63x = -42

----------------

63x - 63x = 0

-27y - 0 = -27y

-99 - - 42 = -99 + 42 = -57

-27y = -57

-9y = -19

9y = 19

y = 19/9

So we know this one isn't equivalent as the y value isn't the same as the given equation.


<h3>Option 4</h3>

12x - 3y = -33

14x = -28

x = -28/14 = -2

12(-2) - 3y = -33

-24 - 3y = -33

-3y = -33 + 24

-3y = -9

y = 9/3

y = 3

So x = -2 and y = -3 which is the same as the first equation.


<h2>Hope this helps!</h2>
3 0
3 years ago
Read 2 more answers
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