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melisa1 [442]
3 years ago
8

Find the standard equation of a parabola with a vertex of (-3,1)

Mathematics
1 answer:
kkurt [141]3 years ago
3 0
1. Parabola's equation is y = a(x + b)^2 + c, where (b, c) is the vertex.
2. We have y = a(x - 3)^2 + 1
3. Take everything to the left side:
-a(x - 3)^2 + y - 1 = 0
That's the standard equation. Hope this helps! :)
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The volume of gas in a container at a constant temperature varies inversely as the pressure. If the volume is 32 cubic centimete
aleksklad [387]

Step-by-step explanation:

Given that,

The volume of gas in a container at a constant temperature varies inversely as the pressure.

V_1=32\ cm^3\\\\P_1=8\ \text{pounds}\\\\V_2=60\ cm^3

We need to find pressure P_2.

According to question,

\dfrac{V_1}{V_2}=\dfrac{P_2}{P_1}

Putting all the values

P_2=\dfrac{P_1V_1}{V_2}\\\\P_2=\dfrac{8\times 32}{60}\\\\P_2=4.26\ \text{pounds}  

So, the pressure is 4.26 pounds.

7 0
2 years ago
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enot [183]
Put the answer choice numbers where the x’s are in the equation and then solve. The ones that are equal to 0 once solved will be your answer
3 0
2 years ago
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Find the straight line f(x) which intersects the coordinates (8,0) and (1, -7).
Delvig [45]

Answer:

y = x - 8

Step-by-step explanation:

7/7X - 8

the y intercept was the only tricky part

4 0
3 years ago
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100 POINTS!!!! Create a table of values for a linear function. A drone is in the distance, flying upward in a straight line. It
dangina [55]
Based on the docx you showed me, the equation for the parabola is y = x^2 + 36 and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).

If you use these two points to create a line we get the equation:

y - 6 = \frac{34 - 6}{-2 - 5}(x - 5) (I just used point slope form)

This can be simplified to:

y = \frac{40}{-7}x + \frac{242}{7}

Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept: (0, \frac{242}{7}) and the x-intercept: (\frac{121}{20}, 0).

So our table of value can be:

x          | y
______|________
-2         | 34
0          | 242 / 7
5          | 6
121/20 | 0
3 0
3 years ago
Sally has 10.00 worth of coins and all of the coins are equal how many coins of each does she have?
Yanka [14]
20 quarters
5x 4 =20
hope it helped bye
7 0
3 years ago
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