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tino4ka555 [31]
3 years ago
12

Q10 Q2.) Find the standard form of the equation of the parabola satisfying the given conditions.

Mathematics
1 answer:
Sergeeva-Olga [200]3 years ago
3 0
To  solve this problem you must apply the proccedure shown below:

 1. You have that the standard form of the equation of the parabola must satisfy the following conditions given in the exercise above:

 Focus: (-1,4) and Directrix: y=2

 2. Therefore you have:

 √(x0-(-1))²+(y0-4)²=|y0-2|
 (x0+1)²+(y0-4)²=(y0-2)²

 3. When you simplify the expression above and clear y0, you obtain:

 y0=y

 y=1/4(x²+2x+13)
 y=(x²/4)+(x/2)+(13/4)

 Therefore, the answer is: y=(x²/4)+(x/2)+(13/4)
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Find the perimeter of a right triangle with a leg of 8 cm and a hypotenuse of 17 cm.
Nookie1986 [14]

Answer:

40cm

Step-by-step explanation:

1. To find the missing leg, use the Pythagorean theorem a²+ b² = c² and substitute the numbers a² + 8² = 17².

2. So a = 15 since 17²-8² = 289 - 64 =225 and the square root of 225 is 15

3. Now that all the lengths have been found. So the perimeter of the right triangle is 40cm.

4 0
3 years ago
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Katen [24]

Answer:

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Step-by-step explanation:

Given

r = 6

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Required

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This is calculated as:

V = \frac{4}{3} \pi r^3

So, we have:

V = \frac{4}{3} *3 *6^3

V = \frac{4}{3} *3 *216

This gives:

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6 0
3 years ago
Pls help !!!! I will mark as Brainiest
luda_lava [24]

Answer:

13 pounds

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6 0
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ZanzabumX [31]
Time taken to fill the bathtub is 8 min
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1/8-1/12
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3 0
3 years ago
2(x−3)=(x−1)+7
Oksanka [162]

Answer:

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(getting to the 20 character limit, please ignore this)

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