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2 years ago

Can somone help me find the distance please

Mathematics

1 answer:

Stells [14]2 years ago

6 0

Answer:

I believe that the answer is over by 3,-1

Step-by-step explanation:

and also is there any a,b,c,d, multiple choice answers?

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Explain why 1/12+ 1/12+ 1/12is the same as 1/4.

Zigmanuir [339]

Answer:

1/4 = 3/12 = 1/12+1/12+1/12

Step-by-step explanation:

Because 1/4 equals 3/12.

6 0

3 years ago

Let f(x) = 1/x^2 (a) Use the definition of the derivatve to find f'(x). (b) Find the equation of the tangent line at x=2

Verdich [7]

Answer:

(a) $f'(x)=-\frac{2}{x^3}$

(b) $y=-0.25x+0.75$

Step-by-step explanation:

The given function is

$f(x)=\frac{1}{x^2}$ .... (1)

According to the first principle of the derivative,

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

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

$f'(x)=lim_{h\rightarrow 0}\frac{\frac{x^2-(x+h)^2}{x^2(x+h)^2}}{h}$

$f'(x)=lim_{h\rightarrow 0}\frac{x^2-x^2-2xh-h^2}{hx^2(x+h)^2}$

$f'(x)=lim_{h\rightarrow 0}\frac{-2xh-h^2}{hx^2(x+h)^2}$

$f'(x)=lim_{h\rightarrow 0}\frac{-h(2x+h)}{hx^2(x+h)^2}$

Cancel out common factors.

$f'(x)=lim_{h\rightarrow 0}\frac{-(2x+h)}{x^2(x+h)^2}$

By applying limit, we get

$f'(x)=\frac{-(2x+0)}{x^2(x+0)^2}$

$f'(x)=\frac{-2x)}{x^4}$

$f'(x)=\frac{-2)}{x^3}$ .... (2)

Therefore $f'(x)=-\frac{2}{x^3}$ .

(b)

Put x=2, to find the y-coordinate of point of tangency.

$f(x)=\frac{1}{2^2}=\frac{1}{4}=0.25$

The coordinates of point of tangency are (2,0.25).

The slope of tangent at x=2 is

$m=(\frac{dy}{dx})_{x=2}=f'(x)_{x=2}$

Substitute x=2 in equation 2.

$f'(2)=\frac{-2}{(2)^3}=\frac{-2}{8}=\frac{-1}{4}=-0.25$

The slope of the tangent line at x=2 is -0.25.

The slope of tangent is -0.25 and the tangent passes through the point (2,0.25).

Using point slope form the equation of tangent is

$y-y_1=m(x-x_1)$

$y-0.25=-0.25(x-2)$

$y-0.25=-0.25x+0.5$

$y=-0.25x+0.5+0.25$

$y=-0.25x+0.75$

Therefore the equation of the tangent line at x=2 is y=-0.25x+0.75.

5 0

3 years ago

Which equation finds the area of a square with a side length of 5 n Superscript 4 units?

Oduvanchick [21]

Answer:

area of a square is S^2

s = 5n^4

area = (5n^4)^2 = 25n^8

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the diameter, rounded to the nearest tenth.<br>a) 55.5<br>b) 68.2<br>c) 60.7<br>d) 49.1

docker41 [41]

Answer:

D 49.1

Step-by-step explanation:

Hope it helps

have a great day

3 0

2 years ago

Divide.

algol13

Answer:

Answer in simplified form is - 10 1/2 .

Step-by-step explanation:

We have given,

(5 1/4) ÷ (- 2 1/2)

This can be simplified as :

(5 1/4) ÷ ( -2 1/2)

Since 5 1/4 = 21/4 and -2 1/ 2 = -5/2

So we can write,

(5 1/4) ÷ ( -2 1/2) = 21/4 ÷ ( - 5/2)

or (21/4) / (-5/2)

or ( 21/4) * (-2/5)

or -42/20

or -21/10

or - 10 1/2 , this is the answer

Hence we get answer in simplified form as -10 1/2

7 0

3 years ago