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3 years ago

What is the slope of the line that contains the points (9,-4) and (1, -5)

Mathematics

2 answers:

vlada-n [284]3 years ago

5 0

Answer:

A. 1/8

Step-by-step explanation:

m = rise/run

m = (y2-y1)/(x2-x1)

m = (-5- - 4)/(1-9)

m = (-5+4)/(-8)

m = (-1)/(-8)

m = 1/8

slamgirl [31]3 years ago

4 0

Answer:

The answer is A.

Step-by-step explanation:

Given that the formula to find gradient, m, is :

$m = \frac{y2 - y1}{x2 - x1}$

Then, you have to substitute the coordinates into the formula :

$let \: (9, - 4) \: be \: (x1,y1) \\ let \: (1, - 5) \: be \: (x2,y2)$

$m = \frac{ - 5 - ( - 4)}{1 - 9}$

$m = \frac{ - 5 + 4}{ - 8}$

$m = \frac{ - 1}{ - 8}$

$m = \frac{1}{8}$

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What is the value of x

makkiz [27]

Answer:

x = 4 root square 3

Step-by-step explanation:

sin60° = x/8

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7 0

3 years ago

Need help with courseReplace 250 with 575 and -3 with -5.

Svetlanka [38]

Given

The demand function

$p(x)=\frac{250}{\sqrt{x}}-5$

To determine:

a) The revenue function.

b) The marginal revenue.

c) The marginal revenue when x=200.

d) The equation of tangent, and its derivation.

Explanation:

It is given that,

$p(x)=\frac{250}{\sqrt{x}}-5$

a) The revenue function is given by,

$\begin{gathered} R(x)=x\cdot p(x) \\ R(x)=x\times(\frac{250}{\sqrt{x}}-5) \\ R(x)=250\sqrt{x}-5x \end{gathered}$

b) The marginal revenue function is,

$\begin{gathered} R^{\prime}(x)=\frac{d}{dx}(R(x)) \\ =\frac{d}{dx}(250\sqrt{x}-5x) \\ =250\times(\frac{1}{2}\times x^{-\frac{1}{2}})-5 \\ =\frac{125}{\sqrt{x}}-5 \end{gathered}$

c) The marginal revenue when x=200 is,

$\begin{gathered} R^{\prime}(200)=\frac{125}{\sqrt{200}}-5 \\ =\frac{125}{10\sqrt{2}}-5 \\ =8.8388-5 \\ =3.8388 \\ =3.84 \end{gathered}$

Hence, the marginal revenue is 3.84.

d) Let y=mx+c is the tangent.

Then,

$y=3.84x+c$

That implies, for y=12.68, and x=200,

$\begin{gathered} 12.68=3.84\times200+c \\ 12.68=768+c \\ c=12.68-768 \\ c=-755.32 \end{gathered}$

Hence, the equation of tangent is,

$y=3.84x-755.32$

8 0

10 months ago

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Gala2k [10]

Answer:

adjacent angles

Step-by-step explanation:

they all touch

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2 years ago

46 2/3% of 28 please i need to know answer an work

Bogdan [553]

First, it would help to put 46 and 2/3 into an improper fraction: 140/3.

Then, since this is a percent, we put that improper fraction over 100: (140/3)/100 = 140/300.

Finally, we multiply this answer by 28 since "of" means multiply:

(140/300) * 28 = 196/15 = 13 1/15

8 0

2 years ago

The length of a rectangle is 4 yards less than 2 times the width. If the perimeter is 34 yards, find the length and the width of

tamaranim1 [39]

Answer:

21 yards

Step-by-step explanation:

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2 years ago