Answer:
1)A parabola is defined as a set of points in a plane which are equidistant from a straight line or directrix and focus.
The hyperbola can be defined as the difference of distances between a set of points, which are present in a plane to two fixed points is a positive constant.
2)A parabola has single focus and directrix
A hyperbola has two foci and two directrices
3)Eccentricity, e = 1(parabola)
Eccentricity, e>1(hyperbola)
4)The two arms present in a parabola should be parallel to each other
The arms present in hyperbola are not parallel to each other
5)It has no asymptotes(parabola)
It has two asymptotes(hyperbola)
Answer:
64
Step-by-step explanation:
In each supply bag, Mrs. Wilson packed 3 rubber bands and 4 paper clips for her students.
Now, it is given that she had used 48 rubber bands.
Hence, there will be (48/3) =16 supply bags that had been used.
Now, in 16 supply bags, there will be (16×4) =64 paper clips.
Therefore, 64 paper clips that she had used. (Answer)
To multiply exponents with like bases, simply add the exponents...
3^-3 × 3^4 × 3 × 3^-5 =
add exponents across, remember just 3 means 3^1.
-3 + 4 + 1 + -5 = -3
answer is 3^-3
Answer:
C. 20
Step-by-step explanation:
Let's say M is the original number of men and W is the original number of women.
M / W = 3 / 5
(M+2) / (W+1) = 2 / 3
Let's cross multiply both equations:
5M = 3W
3(M+2) = 2(W+1)
Let's simplify the second equation:
3M + 6 = 2W + 2
3M + 4 = 2W
From the first equation:
M = 3/5 W
Substitute:
3 (3/5 W) + 4 = 2W
9/5 W + 4 = 2W
4 = 1/5 W
W = 20
There were originally 20 women.
Let's check our answer. That would mean that M = 3/5 W = 12.
After 2 men walk in and 1 woman, W = 21 and M = 14, so 14/21 = 2/3. Looks like the answer is correct!
Answer C.
Answer:
x= (y+40)-(y-330)
Step-by-step explanation:
According to the information provided, the difference in their scores would be the result of subtracting Austin's SAT score from Alexandra's SAT score.
Then, as Alexandra's SAT score was 40 points above the average score this means that you have to add 40 to the average score to get her result. Also, as Austin's SAT score was 330 points below the average score, this means that you have to subtract 330 from the average score. With this you can write the expression:
x= difference in their scores
y= average score
x= (y+40)-(y-330)
