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3 years ago

Which equation represents a parabola with a focus of (0, 5) and a directrix of y=-1?

Mathematics

1 answer:

Anika [276]3 years ago

7 0

Answer:

x^2 = 12 (y - 2)

Step-by-step explanation:

how to explian

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Target sells 24 bottles of water for $3, and 36 bottles of water for $4. Which is the better buy and by how much

Oksana_A [137]

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3 years ago

What is 4 over 92 in simplest form... Hellllppppp

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${4/92} divided by {4/4} equals {1/23}
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3 years ago

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A bag contains eight chips numbered 1 through 8. two chips are drawn randomly from the bag and laid down in the order they were

Vedmedyk [2.9K]

There are 56 possible combinations when drawing two chips. Remember that you cannot draw two of the same chips from the bag, so 11, 22, 33, 44, 55, 66, 77, and 88 are not possible. Therefore, 20 of 56 combinations are divisible by 3, or approximately 36 percent. 12,13,14,15,16,17,18 21,23,24,25,26,27,28 31,32,34,35,36,37,38 41,42,43,45,46,47,48 51,52,53,54,56,57,58 61,62,63,64,65,67,68 71,72,73,74,75,76,78 81,82,83,84,85,86,87

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4 years ago

How do you solve this type of problem, what would be the procedure? Assume PQRS is a parallelogram, if PQ=x2−10 and SR=3x , find

NeTakaya

Answer:

$x = 5$

Step-by-step explanation:

Given

Shape: Parallelogram PQRS

$PQ = x^2 - 10$

$SR = 3x$

Required

Find all possible values of x

Every parallelogram have parallel and equal opposite sides;

From the given parameters, one can easily deduce that PQ and SR are opposite sides;

This implies that

$PQ = SR$

Substitute values of PQ and SR

$x^2 - 10 = 3x$

Subtract 3x from both sides

$x^2 - 10 -3x = 3x - 3x$

$x^2 - 10 -3x = 0$

Rearrange

$x^2 -3x- 10 = 0$

Now, we have a quadratic equation;

Expand the above expression

$x^2 +2x-5x- 10 = 0$

Factorize

$x(x+2)-5(x+2) = 0$

$(x-5)(x+2) = 0$

$x - 5 = 0$ or $x + 2 = 0$

Solve for x in both cases

$x = 5$ or $x = -2$

But x can't be negative;

So, the possible value of x is

$x = 5$

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3 years ago

Complete the square to form a true equation. x^2−16x+___=(x−__ )^2

Nadya [2.5K]

X^2 - 16x + 64 =
(x - 8)(x - 8) =
(x - 8)^2

** see ur x term (-16x)....u take half of ur x term, which would be -8, then square it...(-8)^2 = 64...then add that to both sides. Then factor it.

7 0

3 years ago