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Vinil7 [7]
3 years ago
15

Write the equation of a parabola with a vertex and (-5, 2) and a directrix y = -1

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
4 0

Answer:

y=(x+5)²/6 + 1/3

Step-by-step explanation:

Use the distance formula to plug in the values you know:

√(y+1)² =√(x+5)² +( y-2)²

the square roots cancel out

(y+1) ²= (x+5)² +(y-2)²

(y+1) (y-1)= (x+5)² + (y-2) (y-2)

y²+2y+1= (x+5)² + y² -4y+4

the y² cancel out

2y+ 4y = (x+5)² + 4-1

6y= (x+5)² +3

y= (x+5)² /6+ 1/3

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Sebastian is producing shareholder reports. He is deciding whether or not Bendolix White stationery can be used.
lidiya [134]

Since it was not able to satisfy two out of the given conditions above, The answer is No, Bendolix White stationery cannot be used with SmoothPrint machines.

<h3>Why the above response?</h3>

Note that the condition for acceptance was that:

Stationery can only be used with Smooth Print machines if at least 2 of the following four requirements are satisfied:

  • The stationery is non-metric sized
  • The adjusted metric weight of the stationery is less than or equal to 120
  • The stationery is mainly stocked in Purple Square access storerooms
  • The O'Donnell whiteness variation of the stationery is less than 13.5

The only condition that was meant was the second one which is: The adjusted metric weight of the stationery is less than or equal to 120.

Since it was not up to two conditions that were meant, therefore the response need to be No.

So, based on the above, Since it was not able to satisfy two out of the given conditions above, The answer is No, Bendolix White stationery cannot be used with SmoothPrint machines.

Learn more about stationery from

brainly.com/question/25542595

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6 0
2 years ago
If a ! 0 and 5/x = (5+a) / (x+a) what is the value of x ?
gulaghasi [49]

Answer: 5

Step-by-step explanation:

\frac{5}{x}=\frac{5+a}{x+a}\\\\5x+5a=5x+xa\\\\5a=xa\\\\x=5

3 0
2 years ago
What is the volume of a cube with surface area A m2?
atroni [7]

Answer:

How do you find volume when given surface area?

Since the base area is given, simply multiply the area of the base times the height to calculate the volume. *Reminder: Volume is measured in cubic units. The volume of the square prism is 225 cubic feet.

Step-by-step explanation:

8 0
3 years ago
Which is not an equation of the line that passes through the points (1, 1) and (5, 5)?
goblinko [34]

Answer:

Step-by-step explanation:

(5-1)/(5-1)= 4/4= 1

y - 1 = x - 1

y = x

y - x = 0

the second equation is not

7 0
3 years ago
If y varies directly as x and y=12 when x=c what is y in terms of c when x=8
tatiyna

"y varies directly as x" means y = kx

you do not know what k is yet, other than that it is some constant number.

Now plug in the given values, y=12 when x=4, in the equation

12 = 4k

=> k = 3

Now rewrite the equation with the k value you just found

y = 3k

Substitute 18 in place of x

y = 3(18)

y = 54

8 0
3 years ago
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