16 ÷ 4 = 16 _ 4 = ? help!

Mathematics

2 answers:

Komok [63]3 years ago

5 0

Is that dash supposed to be a minus or no

marshall27 [118]3 years ago

4 0

They are both the same question sixteen divided by four. Break the question down start with 16÷2 =8 then do 8÷2 =4 therefore 16÷4=4

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What is the sum of the arithmetic sequence 3,9,15 if there are 34 terms

luda_lava [24]

First we find the common difference.....do this by subtracting the first term from the second term. (9 - 3 = 6)...so basically, ur adding 6 to every number to find the next number.

we will be using 2 formulas....first, we need to find the 34th term (because we need this term for the sum formula)
an = a1 + (n-1) * d
n = the term we want to find = 34
a1 = first term = 3
d = common difference = 6
now we sub
a34 = 3 + (34-1) * 6
a34 = 3 + (33 * 6)
a34 = 3 + 198
a34 = 201

now we use the sum formula
Sn = (n (a1 + an)) / 2
S34 = (34(3 + 201))/2
s34 = (34(204)) / 2
s34 = 6936/2
s34 = 3468 <=== the sum of the first 34 terms

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3 years ago

A parabola intersects the x-axis at x=3, and x=9.

jekas [21]

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4 years ago

What is the equation of the directrix of the parabola given by the equation y2 = -24x?

valentina_108 [34]

Hello!

The directrix of a parabola is a fixed line used in describing a curve or surface.

The standard form a parabola is 4p(x - h) = (y - k)². In this equation, h, k is the vertex, and p is the focal point.

To find the standard form, first, we would find p.

Since the equation given, y² = -24x, has a vertex at (0, 0), h, k would be zero. In this case, we can find p now.

4p = -24 (divide both sides by 4)

p = -6

4(-6)(x - 0) = (y - 0)² which can be simplified to: 4(-6)(x) = y².

Looking at the graph of the parabola, it is symmetric around the x-axis, so therefore, the directrix is a line parallel to the y-axis. To find the directrix, use the formula: x = 0 - p, and we know that p = -6.

x = 0 - (-6)

x = 6

Therefore, the directrix of the parabola is choice D, x = 6.