Write the equation in the point slope form for the line that contains the points (-2,-3), (4,3)

Mathematics

2 answers:

Tom [10]3 years ago

7 0

Answer is 3.5-3.7i don’t haven’t any clue to the Braine amd I don’t know!!!!!

Marina86 [1]3 years ago

4 0

Answer:

Answer is 4 I think!!

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A kite with a string 80 feet long makes an angle of elevation of 40° with the ground, assuming the string is straight, how high

defon

The diagram of the kite is shown below

To find the perpendicular height of the kite from the ground, we use the trigonometry ratio for sin(x).

The reason for using the sine ratio is because we have the hypotenuse, 80 feet, and the angle, 40° and we are looking for the length of the side opposite the angle.

$sin(x)= \frac{opp}{hyp}$
$sin(40)= \frac{x}{80}$
$80sin(40)=x$
$x=51.42$ rounded to two decimal place

Perpendicular height of the kite from the ground is 51.42 feet

3 0

3 years ago

Use the algebraic procedure explained in section 8.9 in your book to find the derivative of f(x)=1/x. Use h for the small number

Triss [41]

Answer:

By definition, the derivative of f(x) is

$lim_{h\rightarrow 0}\frac{f(x+h)-f(x)}{h}$

Let's use the definition for $f(x)=\frac{1}{x}$

$lim_{h\rightarrow 0} \frac{\frac{1}{x+h}-\frac{1}{x}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{x-(x+h)}{x(x+h)}}{h}=\\lim_{h\rightarrow 0} \frac{\frac{(-1)h}{x^2+xh}}{h}=\\lim_{h\rightarrow 0} \frac{(-1)h}{h(x^2+xh)}=\\lim_{h\rightarrow 0} \frac{-1}{x^2+xh)}=\frac{-1}{x^2+x*0}=\frac{-1}{x^2}$