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tester [92]
3 years ago
11

Hey guys, I need help answering this question for my Algebra 2 class.

Mathematics
1 answer:
tamaranim1 [39]3 years ago
4 0
Put into standard form:  y^2 - 20x - 6y - 51 = 0
We can see immediately that this is a horiz. parabola, because y is squared, not x.  Because y^2 and x are both positive, we know that the parabola opens to the right.  Where is the vertex?

y^2 - 6y + 9 - 9 -51 = 20 x (after completing the square)
Then (y-3)^2 - 60 = 20x, or   (1/20)(y-3)^2 -3 = x, or (1/20)(y-3)^2=x+3
The vertex is at (-3,3).  


Comparing       (1/20)(y-3)^2=x+3   to   x-h = 4p(y-3)^2, we see that p = 1/80

The focus is p units to the right of the vertex, at (-3+1/80, 3).

The directrix, a vertical line, is p units to the left of the vertex, at x = -3-1/80.

Please ask questions if need be.
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If the equation y = x + 4 is changed to y = x - 2, how will the graph of the equation change?
Marina86 [1]

It will go 6 it the right. If you have y= (x+4) the transformation is on the inside which is the left and right movement. + go left - go right So if you went from y=(x-4) to y=(x-2) it moves 6 to the right.

8 0
4 years ago
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Select the correct way to write this fraction as a decimal number. 35/100
grigory [225]
The answer is 0.35. Well i figured that out by writing 35/100 as a percent which is 35
5 0
4 years ago
I need the slope of this graph
shtirl [24]

Answer:

3/2

Step-by-step explanation:

Pick two points on the graph

(-1,2) and (3,8)

We can use the slope formula

m= ( y2-y1)/(x2-x1)

   = ( 8-2)/(3 - -1)

   = (8-2)/(3+1)

   = 6/4

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6 0
3 years ago
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If the line passing through the points (a, 1) and (−17, 8) is parallel to the line passing through the points (0, 5) and (a + 2,
stellarik [79]
Parallel line means the same slope
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4 0
3 years ago
W varies jointly as x and p . If w=78 when x=2 and p=10, find x when w=858 and p=5.5
Lemur [1.5K]
W=kxp
where
k is the constant of proportionality given by:
k=w/xp
<span> If w=78 when x=2 and p=10 then
</span>k=78/(2*10)
k=3.9
thus the formula is:
w=3.9xp


b] <span>find x when w=858 and p=5.5
plugging the values in the formula we get:
858=3.9</span>×5.5×x
hence 
x=858/(3.9×5.5)
x=358/21.45
x=16.69
5 0
3 years ago
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