3 years ago

Write the equation for a parabola with a focus at (-4,3) and a directrix at y = 5. Y=?

Mathematics

1 answer:

Troyanec [42]3 years ago

3 0

Answer:

(x+4)^2=-4(y-4)

Step-by-step explanation:

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Two consecutive integers whose product is 56

Iteru [2.4K]

≡ We know that:
⇔ Consider the first integer is $a$
⇔ So, the next integer is $(a+1)$

≡ Solution:
⇒ $(a).(a+1)=56$
⇒ $a^{2}+a=56$
⇒ $a^{2}+a-56=0$
⇒ $(a+8)(a-7)=0$
⇒ $a_{1}=-8$ ║ $a_{2}=7$

⇔ For $a=-8$
⇒ the next integer is $(a+1)=-8+1=-7$

⇔ For $a=7$
⇒ the next integer is $(a+1)=(7+1)=8$

∴ So, there are 2 options [ $\boxed{-8}$ and $\boxed{-7}$ ] or [ $\boxed{7}$ and $\boxed{8}$ ]

7 0

3 years ago

Read 2 more answers

The area of a square is 81 cm2 . Find the perimeter of the square. Determine the diagonal of the square.

sammy [17]

Answer:

s×s=81

s square =81

s=81 square root

s=9cm

perimeter =4×s

=4×9=36 cm