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sasho [114]
3 years ago
14

Find the obtuse angle the line y-2x=7 makes with the x- axis

Mathematics
1 answer:
Kazeer [188]3 years ago
5 0
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to

tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

<span>y-2x=7
y = 2x+7
dy/dx = 2 =m

So,

tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
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Answer:

$78

Step-by-step explanation:

to find 60% of 130 multiply 130 by 0.6

this gives you 78 dollars

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Find the gradient of the line segment between the points (-4,1) and (2,4). Give your answer in its simplest form.
andrew-mc [135]

Answer:

<h2>\frac{1}{2}</h2>

Solution,

Let the points be A and B

A(-4 , 1)------>( X1, y1)

B(2,4)---------->( x2, y2)

Now,

Gradient:

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

\frac{4 - 1}{2 - ( - 4)}

\frac{3}{2 + 4}

\frac{3}{6}

\frac{1}{2}

Hope this helps...

Good luck on your assignment...

3 0
3 years ago
Read 2 more answers
Please give a step by step solution on how to solve #5. Thanks!
Zina [86]
Rate of burn(scented):1/8inch in 1/4h
=4(1/8)inch in 1h=1/2inch in 1h

Rate of burn(unscented):1/9inch in 1/3h=3(1/9)inch in 1h=1/3inch in 1h

The scented candle burns more in one hour.

1/2inch-1/3inch=1/6inch

The scented candle burns 1/6inch more per hour
7 0
3 years ago
Help me please, you gonna be my hero
Lisa [10]

The rate of change of the relationship is 6/5

<h3>Rate of change of a line</h3>

The rate of change of a line is also known as the slope of the line. The formula for calculating the slope of a line is expressed as:

Slope =y2-y1/x2-x1

Given the coordinate points (-3,-2) and (2, 4). On substituting;

Slope = 4-(-2)/2-(-3)

Slope =4+2/2+3

Slope = 6/5

Hence the rate of change of the relationship is 6/5

Learn more on rate of change here: brainly.com/question/25184007

#SPJ1

8 0
2 years ago
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