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3 years ago

Please help with this question!!

Mathematics

1 answer:

Over [174]3 years ago

6 0

5/8

A. Real number. True, all rational numbers are real; SELECT ME

B. Non-real; nope, it's real, so not non-real

C. Irrational; nope, it's a rational number, the ratio of integers

D. Rational. Natural numbers on top and bottom, bottom not zero. SELECT ME.

E. Integer; no, it's a fraction.

F. Whole; that's a non-negative integer, nope.

G. Natural, that's a non-zero whole number, nope.

Answer: A D

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A 13 Ft ladder is leaning up against a building, with the base of the ladder 2 feet from the building. How high up on the buildi

Lelechka [254]

Visualize the image in your mind and you can see that it forms a right angled triangle with a base,altitude and hypotenuse

base=2 feet

hypotenuse(ladder)=13 ft

We need to find the altitude,

By applying pythagoras theorem,

base square+altitude square=hypotenuse square

Take altitude as x

2 square+x square=13 square

4+x square=169

x square=169-4

x square=165

x= root of 165

x=12.8 feet(approx.)

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3 years ago

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3 years ago

Differentiate f and find the domain of f. (enter the domain in interval notation.)f(x) = ln(x2 − 12x)derivative f '(x) = 2x−12x2

guajiro [1.7K]

F(x) = ln(x² - 12x)
The derivative is
$f'(x)= \frac{2x-12}{x^{2}-12x}$

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)

Answer:
The derivative is
$f'(x) = \frac{2x-12}{x^{2}-12x}$
The domain is
(-∞, 0)∪(0, 12)∪(12,∞)

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3 years ago

Pls helpASAP!!!<br> 3x+ 12 = 2(8+ 4x)

mojhsa [17]

$3x+12=2(8+4x)$ distribute