3 years ago

Write the equation for a parabola with a focus at (0,5) and a directrix at x = -7

Mathematics

1 answer:

ella [17]3 years ago

8 0

Answer:

(y-5)^2=14(x+7/2)

Step-by-step explanation:

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What is the value of COS H?<br> Round to four decimal places if needed.

german

Answer:

Final answer is approx $\cos\left(H\right)=0.4235$ .

Step-by-step explanation:

using given information from the attached picture, we need to find the value of cos(H) so let's apply the formula of cosine.

$\cos\left(\theta\right)=\frac{adjacent}{hypotenuse}$

$\cos\left(H\right)=\frac{GH}{FH}$

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3 years ago

Find all values of k such that the graph of the inequality (x-2)(x-5)(x-k) >= 0 consists of a single interval on the number l

Korolek [52]

(x - 2)(x - 5)(x - k) >= 0

Let's set each term equal to 0

x - 2= 0

Add 2 to both sides

x = 2.

x - 5 = 0

Add 5 to both sides

x = 5

x - k = 0

Add k to both sides

x = k

Since x = 2 and 5, k = 2, 5

Let's plug our numbers into the inequality.

(2 - 2)(2 - 5)(2 - 2) >= 0

(0)(-3)(0) >= 0

0>=0

(5 - 2)(5 - 5)(5 - 5) >= 0

(3)(0)(0) >= 0

0 >= 0

This proves that 2 and 5 are equal to k

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3 years ago