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asambeis [7]
3 years ago
8

Find the answer to this problem 15/16 - -3 / 16​

Mathematics
1 answer:
posledela3 years ago
4 0

Answer:

The answer would be 18/16 or 1 1/8.

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What is the equation of the quadratic graph with a focus of (4,3) and a directrix of y=-6
Rufina [12.5K]

Answer:

f(x) = (1/18)x^2 - (4/9)x - 65/18

Step-by-step explanation:

Since the focus (4,3) is higher up than is the directrix y = -6, the vertex is between y = -6 and y = 3, halfway between these values, to be exact:  y = -3/2.  Thus, the y-coordinate of the vertex is (-6 + 3/2), or -4.5.  The x-coordinate of the vertex is 4, which comes from that 4 in (4,3).  Thus, the vertex is (4, -4.5) or (4, -4 1/2).

The standard equation for a vertical parabola with vertex at (h,k) is:

4p(y-k) = (x-h)^2, where p is the distance between vertex and focus or between vertex and directrix.  In this case p = 4.5.  Thus, the equation of this quadratic is 4(4.5)(y - [-4.5]) = (x - 4)^2, or

18(y+4.5) = (x-4)^2, or y+4.5 = (1/18)(x-4)^2.

Let's expand this and rewrite the result as a quadratic equation in standard form y = ax^2 + bx + c:

y + 4.5 = (1/18)(x^2 - 8x + 16).  Multiplying all terms by 18 to remove both fractions, we get:

18y + 81 = x^2 - 8x + 16.  Rearranging these terms, we get:

18y = x^2 - 8x + 16 - 81, or

18y = x^2 - 8x - 65, or

y = f(x) = (1/18)x^2 - (4/9)x - 65/18.

5 0
3 years ago
Read 2 more answers
The ratio of the number of sheep to the number of horses on a farm is 8:3. If there are 42 horses on the farm, how many sheep ar
Alenkinab [10]
Well, if there are 3 sheep for every 8 horses then there should be 15.75 sheep.

.......you divide 42 by 8 to find the number of horses (5.25) and then multiply that by 3 (15.75).

I hope this helps you.

3 0
3 years ago
What is the height of an equilateral triangle with all sides equal to 8
vitfil [10]

an equilateral triangle has a square root height if 3 so I'm guessing if you multiply square root of 3 times 8

3 0
3 years ago
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What are the characteristics of the graph of the inequality x ≥ -2? The ray will move to the left. The ray will move to the righ
Alenkasestr [34]

Answer:

Step-by-step explanation:

The inequality x ≥ -2 is graphed on a number line.  -2 is the smallest possible value.  All subsequent values are larger and therefore lie to the right of -2.

Thus, the following are true:

1.  The ray will move to the right (because x begins at -2 and increases, which means moving to the right on the number line).

2.  It will use a closed circle (because x = -2 is part of the solution set).

6 0
3 years ago
what percentage of people choose baseball or soccer as their favorite sport there is a circle 25% play basketball 35% play footb
erma4kov [3.2K]

Answer:

  35% chose baseball or soccer

Step-by-step explanation:

  baseball or soccer = 20% + 15% = 35%

_____

The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)

3 0
3 years ago
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