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nlexa [21]
3 years ago
7

A parabola can be drawn given a focus of (4,-8) and a directrix of x = -4. What can be said about the parabola?

Mathematics
1 answer:
Pani-rosa [81]3 years ago
6 0

Answer:

It opens to the right and the vertex is at  (0, -8).

The axis of symmetry is y = -8.

Step-by-step explanation:

The vertex is halfway between the directrix and the focus.  

The focus is to the right of the directrix so the curve will open towards the right. The axis of symmetry is the line y = -8.

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3(x - 2) - (1 - x) > 2x - 7
Kipish [7]

Answer:

56

Step-by-step explanation:

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7 0
3 years ago
Complete this table to show the sample space for each roll in the game
leva [86]

I'm assuming you only need help with part B. If that's the case, then all we do is add up the values outside of the table to get the inner cell results. For example, in row 1, column 1, we have 1's outside. They add to 1+1 = 2. So we'll have 2 in the first row and first column of the table. The other cells are computed in this way. In figure 1 (see attached image), I show the intermediate step of adding. Then in figure 2, I actually add up the values and show the final result of what the table will look like when all said and done. Take note of the color coding to help see how the values match up for each inner cell of the table. The color coding is optional.

------------------------------------------------------------------------------------------------------------

Edit: 

Part C -- Part 1) Probability of rolling double sixes


There are five copies of "6" in the table (see figure 2 of the attached image) out of 36 total possibilities. How did I get 36? It's the result of multiplying 6*6. This is because there are 6 faces per die. As the table shows, there are 6 rows and 6 columns giving 36 cells total.


So we divide the number of times "6" shows up (5 times) out of the number of total possibilities (36 total) to get: 5/36 = 0.1389 = 13.89%


Answer as a fraction: 5/36

Answer as a decimal: 0.1389

Answer as a percent: 13.89%

The decimal and percent forms are approximate

---------------------------------------------


Part C -- Part 2) Probability of rolling doubles


To roll doubles, all we need to do is roll the same number twice on each die. In other words, we have "twin values" so to speak. Back in part 1 above, we dealt with just '6's showing up twice. There are other doubles as well


The doubles possibilities are: 

1 and 1

2 and 2

3 and 3

4 and 4

5 and 5

6 and 6


Each combo listed above only shows up once. So we have 6 instances where we have doubles (one instance per side of the die). This is out of 36 total


Divide the values mentioned: 6/36 = 1/6 = 0.1667 = 16.67%


Answer as a fraction: 1/6

Answer as a decimal: 0.1667

<span>Answer as a percent: 16.67%</span>

The decimal and percent forms are approximate

7 0
3 years ago
Read 2 more answers
An electronic device that previously sold for $21.00 has been reduced to $17.43. The price reduction, rounded to the near east w
svet-max [94.6K]

The percentage of reduction is 17%

<u>Explanation:</u>

Original price = $21

Reduced price = $17.43

Percentage of reduction = ?

Difference in price = $21 - $17.43

                               = $3.57

Percentage of reduction = \frac{difference}{original} X 100

                                         = \frac{3.57}{21} X 100\\\\= 17

Therefore, percentage of reduction is 17%

7 0
3 years ago
When multiplying or dividing, if you have
sertanlavr [38]

Answer:

Read the explanation

Step-by-step explanation:

Explanation:

When multiplying and dividing more than two positive and negative numbers, use the Even-Odd Rule: Count the number of negative signs — if you have an even number of negatives, the result is positive, but if you have an odd number of negatives, the result is negative. This problem has just one negative sign

3 0
2 years ago
Whats the slope of the line x=-1
bonufazy [111]

Answer:

undefined

Step-by-step explanation:

If you graph x=-1, you will get a line with x-intercept -1 and no y-intercept. If you do not have either of these things, your line does not have a constant slope.

5 0
3 years ago
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