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AlladinOne [14]
2 years ago
10

Write the equation of a parabola with a vertex at (0,0) and directrix at (0,4)

Mathematics
1 answer:
Vaselesa [24]2 years ago
7 0
Decrcefegrgr fecdrfvrvdvdvdc hdgdhddvvedgdgrgdvdvdvdvv
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Use completing the square to solve for x in the equation (x minus 12) (x + 4) = 9. x = –1 or 15 x = 1 or 7 x = 4 plus-or-minus S
Scrat [10]

Answer:

x = 4 ± \sqrt{73}

Step-by-step explanation:

Given

(x - 12)(x + 4) = 9 ← expand the left side using FOIL

x² - 8x - 48 = 9 ( ad 48 to both sides )

x² - 8x = 57

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2(- 4)x + 16 = 57 + 16

(x - 4)² = 73 ( take the square root of both sides )

x - 4 = ± \sqrt{73} ( add 4 to both sides )

x = 4 ± \sqrt{73}

4 0
3 years ago
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Choose the slope-intercept form of 3x + 2y = 5.
Nataly_w [17]

Answer:

y = -3x/2 + 5/2

Step-by-step explanation:

Well, basically what you do is modify it so that y is on one side.

3x+2y = 5

2y = 5-3x

y = (5-3x)/2

y = 5/2 -3x/2

So, the answer is the second option.

4 0
3 years ago
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18 % of 90 is what number
Lyrx [107]
18 percent of 90 is 16.2
6 0
3 years ago
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Solve this equation<br> 3x - 5 = -26​
Dmitry_Shevchenko [17]

3x - 5 = -26​

<u>step 1:</u>

subtract +5 on each side because you have to do the inverse operation

<u>step 2:</u>

3x= -21

<u>step 3:</u>

now divide 3 on each side

the answer is -7

<u />

Hope this helped!

<u />

<em>TheOneAndOnlyLara~</em>

5 0
1 year ago
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Reduce a ratio 3/4in: 3/16 ft
Dmitrij [34]

Answer:

4in : 1ft

Step-by-step explanation:

We start with:

3/4 in = 3/16 ft

This means that the length of 3/4 inches is the same as the length of 3/16 feet.

To reduce this, we can start by dividing by 3 in both sides of the equation:

(3/4)/3 in = (3/16)/3 ft

1/4 in = 1/16 ft

Now we can multiply both sides by 16:

16/4 in = 16/16ft

4 in = 1ft

now we reduced the ratio to:

4in : 1ft

5 0
2 years ago
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