2 years ago

6.

Mathematics

1 answer:

GenaCL600 [577]2 years ago

3 0

Answer:

D. y ≤ –3x + 4

Step-by-step explanation:

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3 years ago

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Basile [38]

${\qquad\qquad\huge\underline{{\sf Answer}}}$

Let's solve ~

Equation of directrix is : y = 1, so we can say that it's a parabola of form : -

$\qquad \sf \dashrightarrow \: (x - h) {}^{2} = 4a(y - k)$

h = x - coordinate of focus = -4

k = y - coordinate of focus = 5

a = half the perpendicular distance between directrix and focus = 1/2(5 - 1) = 1/2(4) = 2

and since the focus is above the directrix, it's a parabola with upward opening.

$\qquad \sf \dashrightarrow \: (x - ( - 4)) {}^{2} = 4(2)(y - 5)$

$\qquad \sf \dashrightarrow \: (x + 4) {}^{2} = 8(y - 5)$

$\qquad \sf \dashrightarrow \: {x}^{2} + 8x + 16 = 8y - 40$

$\qquad \sf \dashrightarrow \: 8y = {x}^{2} + 8x + 56$

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1 year ago

Read 2 more answers

Solve the inequality 3k > 5k+12

Natali5045456 [20]

Alright, let's solve this problem! :)

First we need to subtract 5k from both sides.

3k−5k>12

Then we simplify 3k - 5k to -2k.

-2k > 12

Now we divide both sides by -2.

k < -12/2

Now we simplify 12/2 to 6.

k < -6

✔️Done!

Have an amazing day!

4 0

3 years ago