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MariettaO [177]
3 years ago
11

What is the equation of the quadratic graph with a focus of (3, 1) and a directrix of y = 5?

Mathematics
1 answer:
mamaluj [8]3 years ago
3 0

Answer:

y = -⅛(x - 3)² + 3

Step-by-step explanation:

(x - h)² = 4p(y - k)

h = 3

k + p = 1

k - p = 5

2k = 6

k = 3

p = -2

(x - 3)² = 4(-2)(y - 3)

(x - 3)² = -8(y - 3)

y = -⅛(x - 3)² + 3

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Determine the intercepts of the line. y = 5 x − 1 3 y=5x−13
sweet-ann [11.9K]
Y-intercept = -13
x-intercept = 2.6 or 2 3/5
-13 is the y-intercept. In the equation, y=mx+b, b is the y-intercept. Looking at the equation, y=5x-13, we can see that -13 is in the place of b, therefore -13 is the y-intercept.
() is the x-intercept. To find the x-intercept, you need to replace values into the equation. Since the coordinates for the x-intercept consist of y being 0, you must replace y in the equation. with 0.
0=5x-13
Get rid of the -13 by adding it onto both sides. -13 is negative and the opposite of a negative is positive, thus making you add to get rid of -13.
0=5x-13
+13 +13
13=5x
Now you divide 5 from both sides to get rid of 5. The opposite of multiplication is division, so you must divide the 5 from 5x to isolate the x.
13/5=5x/5
2.6 or 2 3/5=x
Therefore the coordinates (2.6,0) represent the x-intercept, or just 2.6.

I hope this helped.
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3 years ago
What is the simplified form of the following expression? 4x2|y3z| 4x4y8
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Find the values of x and y.<br> 40<br> sy<br> 40<br> xº<br> X =<br> y= 0
Helga [31]

Answer:

x = 30°

y = 5

Step-by-step explanation:

The ∆ where you find x is an isosceles ∆ because two of its sides has a length of 40 each, since the other triangle has equal angles of 60° each, it also has equal length sides of 40.

Therefore, x is a base triangle of the isosceles, thus:

x = ½(180 - (180 - 60))

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Let's find y.

8y = 40 (sides of an equilateral ∆ are equal)

Divide both sides by 8

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Answer:

<h3>Question 1</h3>
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<h3>Question 2</h3>
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because it can be any point or direction outside 45 degrees

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