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Inga [223]
2 years ago
13

A die is rolled twice.

Mathematics
1 answer:
7nadin3 [17]2 years ago
7 0
It is a 10% probability
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A N S W E R Q U I C K P L E A S E
chubhunter [2.5K]

Answer:

1. A

2. D

3. D

Step-by-step explanation:

The standard form of a parabola is

y=\frac{1}{4p}(x-h)^2+k            ..... (1)

Where, (h,k) is vertex, (h,k+p) is focus and y=k-p is directrix.

1. The directrix of a parabola is y=−8 . The focus of the parabola is (−2,−6) .

k-p=-8                   ...(a)

(h,k+p)=(-2,-6)

k+p=-6            .... (b)

h=-2

On solving (a) and (b),  we get k=-7 and p=1.

Put h=-2, k=-7 and p=1 in equation (1).

y=\frac{1}{4(1)}(x-(-2))^2+(-7)

y=\frac{1}{4}(x+2)^2-7

Therefore option A is correct.

2 The directrix of a parabola is the line y=5 . The focus of the parabola is (2,1) .

k-p=5                   ...(c)

(h,k+p)=(2,1)

k+p=1            .... (d)

h=2

On solving (c) and (d),  we get k=3 and p=-2.

Put h=2, k=3 and p=-2 in equation (1).

y=\frac{1}{4(-2)}(x-(2))^2+(3)

y=-\frac{1}{8}(x-2)^2+3

Therefore option D is correct.

3. The focus of a parabola is (0,−2) . The directrix of the parabola is the line y=−3 .

k-p=-3                   ...(e)

(h,k+p)=(0,-2)

k+p=-2            .... (f)

h=0

On solving (e) and (f),  we get k=-2.5 and p=0.5.

Put h=0, k=-2.5 and p=0.5 in equation (1).

y=\frac{1}{4(0.5)}(x-(0))^2+(-2.5)

y=\frac{1}{2}(x)^2-2.5

y=\frac{1}{2}(x)^2-\frac{5}{2}

Therefore option D is correct.

5 0
3 years ago
Fernando makes 1/6 cup of apple juice with 1/3 cup of grape juice which shows a correct comparison of these two fractions
Alenkasestr [34]
I think that it would be C, but I am debating on C and D. I'm pretty confident that it's C, though. Pretty sure.
3 0
3 years ago
33 divided by 2 long division
madreJ [45]

Answer:

16

Step-by-step explanation:

here is a link that will hopefully help.

https://divisible.info/LongDivision/How-to-calculate-33/divided-by-2-using-long-division.html

8 0
3 years ago
Read 2 more answers
100% of blank equals 52
4vir4ik [10]

100% of 52 = 52

ANSWER:  

52

3 0
3 years ago
Read 2 more answers
Compare the numbers using &gt;,&lt;, or =<br>874,023______874,233<br><br>5,493,820______5,492,483​
Alexandra [31]

Answer:

<

>

Step-by-step explanation:

We have two sets of numbers and are asked to compare using the <, >, = symbols.

Remember :

< means less than

> means greater than

= means equal to

One thing I was told in 2nd grade when this subject came over for the first time, was to think of the symbol as a crocodile and that it wants to eat the bigger number, with the opening of it being the mouth of the crocodile. Therefore, out of 874,023 and 874,233. Which is the bigger number?

874,223.

<

Now for the second set,

>

5 0
3 years ago
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