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BARSIC [14]
3 years ago
7

Find the domain of the function (13/x-11)

Mathematics
1 answer:
kotykmax [81]3 years ago
8 0
The domain of 13/x - 11 is all real numbers except x cannot equal zero
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Melissa is standing 40 ft from a tree. The angle of elevation from where she is standing on the ground to the top of the tree is
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Tan(angle) = opposite length/ adjacent length

Tan(50) = h/40
h = 40 x tan(50)
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Will mark brainliest if right and you show your work!
Anna007 [38]

Answer:

(x - 5)(x + 8)

Step-by-step explanation:

Your equation is: x² + 3x - 40

1. Factor the quadratic

(a) Find two numbers that multiply to give -40 and add to give 3.

List the positive factors of 40: 1, 2, 4, 5, 8, 10, 20, 40

One of the numbers must be negative. Start with the numbers near the middle of the list.

By trial and error, you will find that +8 and -5 work:

-5 × 8 = -40 and -5+8 = 3

(b) Rewrite 3x as -5x + 8x

x² - 5x + 8x - 40

(c) Factor the first two and the last two terms

x(x - 5) + 8(x - 5)

(d) Separate the common factor

x² + 3x - 40  = (x - 5)(x + 8)

2. Using Desmos

You can plot the equation with Desmos.

You get a parabola with x-intercepts at x = -8 and x = 5.

These are the solutions to

x + 8 =0 and x - 5 = 0, so

x² + 3x - 40 =  (x+ 8)(x - 5)

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Will the shape shrink or enlarge?
aleksklad [387]
The shape will shrink
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Answer:

£11407

Step-by-step explanation:

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Vikentia [17]

Answer:

StartFraction 16 over 81 EndFraction

Step-by-step explanation:

There are 4 prime numbers from 2 to 10 (2, 3, 5, 7) and 9 numbers from 2 - 10. Total possibilities: 9 * 9 = 81

Prime possibilities: 4 * 4 = 16

Therefore the answer is 16/81 or StartFraction 16 over 81 EndFraction

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3 years ago
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