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3 years ago

What are the focus and directrix of the parabola with the equation y=1/16x^2

1 answer:

8 0

Y=1/16x^2
multiplying both sides by 16 we get:
16y=x^2
The general form of a parabola is:
(x-h)^2=4p(y-k)
thus
4p=16
p=4
The parabola opens upwrd:
Focus: (h,k-p)
(0,0-4)
=(0,-4)
Directrix: y=-4

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Is 800 cm bigger than 8 m

Soloha48 [4]

Convert 8m to cm.

1 m = 100 cm

Multiply:

8 * 100 = 800

So 8 m is equal to 800 cm.

Both of them are equal, so 800 cm is not bigger than 8 m.

4 0

3 years ago

What is the distance between the points (21 , 13) and (3 , 13) in the coordinate plane?

Oxana [17]

Answer:

$\displaystyle d = 18$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)

Algebra II

Distance Formula: $\displaystyle d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Step-by-step explanation:

Step 1: Define

Identify

Point (21, 13)

Point (3, 13)

Step 2: Find distance d

Simply plug in the 2 coordinates into the distance formula to find distance d

Substitute in points [Distance Formula]: $\displaystyle d = \sqrt{(3-21)^2+(13-13)^2}$
[√Radical] (Parenthesis) Subtract: $\displaystyle d = \sqrt{(-18)^2+(0)^2}$
[√Radical] Evaluate exponents: $\displaystyle d = \sqrt{324+0}$
[√Radical] Add: $\displaystyle d = \sqrt{324}$
[√Radical] Evaluate: $\displaystyle d = 18$

5 0

3 years ago

Simplify (4i)(–5i)(6i) –120 –120i(incorrect) 120i 120

professor190 [17]

Answer:

120i

Step-by-step explanation:

;i × i = -1....so hence

4i × (-5i) = -20 i^2...which is -20(-1) = 20....

then you multiply with 6i

20(6i) = 120i

4 0

3 years ago

Please Please Please help me with the answer

Tems11 [23]

c = amount of chocolate donuts

m = amount of maple donuts.

so we know the total in all is 41 donuts, thus c + m = 41.

we also know that whatever c is, m is 25 fewer than that, m = c - 25.

$\bf \begin{cases} c+m=41\\ \boxed{m}=c-25\\ --------\\ c+\boxed{c-25}=41 \end{cases} \\\\\\ 2c-25=41\implies 2c=66\implies c=\cfrac{66}{2}\implies c=33 \\\\\\ \stackrel{\textit{since c = 33}}{m = c - 25}\implies m=33-25\implies m = 8$

6 0

3 years ago

Read 2 more answers

A relay team of 4 swimmers is to be formed from a swim team with 20 member. How many different relay teams are possible?

Mars2501 [29]

When order does not matter you use what is called n choose k formula

n!/(k!(n-k)!) where n is the number of things to choose from and k is the number of choices made, in this case:

20!/(4!(20-4)!)=4845

5 0

3 years ago