1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
7nadin3 [17]
3 years ago
12

Which is the directrix of a parabola with equation x2 = 8y?

Mathematics
1 answer:
olga_2 [115]3 years ago
4 0

Answer:

Y=-2

Step-by-step explanation:

You would use the vertex form to find the directrix

You might be interested in
Find the value of the variable in each expression
bogdanovich [222]

Answer:

they're all 0

Step-by-step explanation:

N/A

6 0
2 years ago
2^5×8^4/16=2^5×(2^a)4/2^4=2^5×2^b/2^4=2^c<br>A=<br>B=<br>C= <br>Please I'm gonna fail math
aleksley [76]

9514 1404 393

Answer:

  a = 3, b = 12, c = 13

Step-by-step explanation:

The applicable rules of exponents are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)/(a^c) = a^(b-c)

  (a^b)^c = a^(bc)

___

You seem to have ...

  \dfrac{2^5\times8^4}{16}=\dfrac{2^5\times(2^3)^4}{2^4}\qquad (a=3)\\\\=\dfrac{2^5\times2^{3\cdot4}}{2^4}=\dfrac{2^5\times2^{12}}{2^4}\qquad (b=12)\\\\=2^{5+12-4}=2^{13}\qquad(c=13)

_____

<em>Additional comment</em>

I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.

  2\cdot2\cdot2 = 2^3\qquad\text{2 is a factor 3 times}

Multiplication increases the number of times the base is a factor.

  (2\cdot2\cdot2)\times(2\cdot2)=(2\cdot2\cdot2\cdot2\cdot2)\\\\2^3\times2^2=2^{3+2}=2^5

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

  \dfrac{(2\cdot2\cdot2)}{(2\cdot2)}=2\\\\\dfrac{2^3}{2^2}=2^{3-2}=2^1

5 0
3 years ago
Find the slope between the two given points (-5,7) and (-5,11)
BartSMP [9]

Answer:

Slope (m) = infinity

Step-by-step explanation:

3 0
3 years ago
Answer these please
defon

Answer:

9: is answer 3

10: is answer 1

8 0
3 years ago
A 2 by 3 rectangle contains 8 squares. A 3 by 4 rectangle contains 20 squares. A 4 by 6 rectangle contains 50 squares. What size
scZoUnD [109]

Answer:

The rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8

Step-by-step explanation:

The given parameters are;

A 2 by 3 rectangle contains 8 squares

A 3 by 4 rectangle contains 20 squares

A 4 by 6 rectangle contains 50 squares  

We note that the number of squares varies proportionately to the increase in the dimension of the rectangle, that is we have;

2 by  3 rectangle contains 8 squares

3 by 4 rectangle contains 20 squares increase by 12 = 3 × 4

4 by 5 rectangle contains 40 squares increase by 20 = 4 × 5

The number of squares formed can therefore be arranged in a matrix as follows(please see attached matrix);

Column,     1,       2,     3,      4,       5,     6,        7,       8,         9,           10,         11

Row

1

2

3

4

5

6

7

8

9

10

11

It will be observed that after reaching a point where the row and column are equal, (x, x) the rate of increase in the number of squares become constant and equal to x × ((x - 1) × 0.5) + 1) = x × (x + 1)/2

From the matrix, the rectangles that have exactly 100 squares are 1 by 100  4 by 11 and 5 by 8 and there are no more as presented in the attached matrix, the number of squares formed keeps increasing for each column and row added.

4 0
3 years ago
Other questions:
  • A manufacturer states their paint will cover 400 square feet per gallon. How much paint should you purchase to paint a house tha
    6·1 answer
  • Mount St. Helens is 2549.652 meters above sea level what is the height in feet
    7·2 answers
  • A poll found that 64% of a random sample of 1076 adults said they believe in ghosts.
    11·1 answer
  • Jamal bought 2 pounds of red apples and 3.2 pounds of green apples from a grocery store, where both kinds of apples are $1.65 a
    13·1 answer
  • PLEASE.HELP. 3. In how many years will Mr. Nunez be twice as old as Mr. Springstein?
    10·1 answer
  • Jasmine Is organizing a carnival with games Booths she needs three volunteers per booth there are 16 booth if 62 people signed u
    7·1 answer
  • Find the indicated term of the given geometric sequence.<br><br> a1 = 11, r = 3.4, n = 7
    6·1 answer
  • Solve this for me 15x+82= 20x +12<br>​
    15·1 answer
  • Please help asap no wrong answers pls
    7·1 answer
  • What is the surface area of the cylinder with height 3 mi and radius 8mil? Round your answer to the nearest thousandth
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!