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snow_tiger [21]
4 years ago
8

What is the slope of the line that contains the points (7,-1) and (-2,2)?

Mathematics
1 answer:
Vesnalui [34]4 years ago
8 0

Answer: -1/3

(7,-1)= (x1,y1)

(-2,2)= (x2,y2)

Slope=\frac{y2-y1}{x2-x1}

        =\frac{2-(-1)}{-2-7}

        =\frac{1}{-3}

1/-3 is the same thing as -1/3

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A woman standing on a hill sees a flagpole that she knows is 65 ft tall. The angle of depression to the bottom of the pole is 14
Oliga [24]

Answer:

Let the distance between woman and pole be "x".

From diagram,

In ΔOAB,

tan 18 = \frac{Perpendicular}{Base}

tan 18 =  \frac{65 -y}{x}

∴ x =  \frac{65 -y}{tan 18} ................ (1)

In ΔOBC

tan 14 = \frac{Perpendicular}{Base}

tan 14 =  \frac{y}{x}

y = x × tan 14 ..............(2)

equating (2) in (1), we get;

x = \frac{65}{tan 18 + tan 14}

x = \frac{65}{0.574}

∵ tan 18 + tan 14 = 0.574

<em>∴ x = 113.2 ft</em>

<em>i.e. The her distance from the pole is 113.2 ft.</em>

3 0
3 years ago
Solve for x. -3x + 6 = 2x - 24 A) -30 B) -6 C) 6 D) 30
Crazy boy [7]

The answer is C) 30.

Explanation:

-3x + 6 = 2x -24

6 + 24 = 2x + 3x

30 = 5x

x = 30/5 = 6

6 0
3 years ago
Read 2 more answers
Help, brainiest, five stars, and thanks for correct answers.
Alisiya [41]

Answer: help this werd account just asked me on a date and i dont even know them thay swared and i did not understand do you know what to do i know this is not an aser but pleas help......

Step-by-step explanation: please.........

5 0
4 years ago
If a circle has a circumference of C, what is the area of the circle in terms of C?
Anettt [7]
First you have to write down the formula on how to get the circumference of the circle (C = 2pi * Radius) and the Area of the circle which is (A=Pi*Radius^2). In getting the radius you need to transform the formula of the circumference by making the radius to be the unknown variable so it would become(R=C/2pi), after that you need to replace the radius in the formula of the area by the transformed formula of the circumference and you will come up of the formula of (A=Pi(C/2pi)^2).
3 0
3 years ago
Question 12 1 pts If the population of a country is reported in the year 1990 as 471.56 million and in the year 2000 as 492.53 m
I am Lyosha [343]

Answer:

  526.39 million

Step-by-step explanation:

The exponential equation can be written as ...

  p(t) = 471.56(492.53/471.56)^(t/10)

Then p(25) ≈ 525.75 . . . . million

__

The closest answer choice is 526.39 million.

__

<em>Comment on the answer choice</em>

Reverse-engineering the answer, we find it was computed using the exponential equation ...

  p(t) = 471.56e^(0.0044t)

  p(25) = 471.56·1.116278 ≈ 526.39

The k factor in the exponent is <em>inappropriately rounded</em> from 0.004350903. You cannot use a 2-significant-figure constant to arrive at an accurate 5-significant-figure answer.

3 0
3 years ago
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