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xz_007 [3.2K]
3 years ago
8

The sides of the square shown below have a length of

Mathematics
1 answer:
USPshnik [31]3 years ago
8 0

Answer:2\sqrt{6}because it is a 45 45 90

Step-by-step explanation:

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Step-by-step explanation:

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For the function F(x) = 2x^2-31x-51, where is the function increasing and positive? ( for all X values greater than what number
Ulleksa [173]
ANSWER
x \: > \: 17

EXPLANATION

The given function is

f(x) = 2 {x}^{2} - 31x - 51
Let us split the middle term to get,

f(x) = 2 {x}^{2} -34x + 3x- 51

We factor to obtain,

f(x) = 2x(x - 17) -+3(x - 17)

f(x) = (2x -+3)(x -17)

Let us find the zeros of f(x),

(2x +3)(x - 17) = 0

Either

2x +3 = 0 \: or \: x - 17 = 0
x = -\frac{3}{2} \: or \: x = 17

We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.

This gives us,

\frac{- \frac{3}{2} + 17}{2} = 7.75
Hence the axis of symmetry of the parabola has equation,

x = 7.75

Since the given function has minimum turning point, it will decrease and then increase.

The function will be increasing for
x \: > \: 7.75

The function will be increasing and positive for
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7 0
3 years ago
The equation 12.5(x + 20) = 460 describes Steve's exercise plan for the
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If Morgan and Kira have a number of jelly beans in a ratio of 5 : 3. Kira and Mann have a
castortr0y [4]

Answer:


Step-by-step explanation:

Kira has 3/8 of the total of Jelly Beans available. Morgan has the other 5/8

So if there are 56 Jelly beans in total 3/8 * 56 = 21 which would be Kira's share.

Morgan would have 5/8 * 58 = 35 Jelly beans (Not that this is really relevant).

Now Kira and Mann have a ratio of 6:1 which means that she has 6/7 of the total between those two. He therefore must have 1/7 of the total.

Her total is 21.

1/7 of 21 = 3

Therefore Mann would have 3 jelly beans.

3/8 * 1/7 is the total the number of Jelly Beans that he would have if the total was N

N(3/8 * 1/7) = N (3/56)

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3 years ago
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