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Leokris [45]
3 years ago
13

What is the slope of the line that passes through the points (3, -20) and (11, 16)?

Mathematics
1 answer:
marissa [1.9K]3 years ago
3 0

Answer:

9/2

Step-by-step explanation:

(3, -20) & (11, 16)

To find the slope of the line that passes through these points, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)

Plug in these values:

(16 - (-20)) / (11 - 3)

Simplify the parentheses.

= (36) / (8)

Simplify the fraction.

36/8

= 9/2

9/2 is the most simplified fraction. This is your slope.

Hope this helps!

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Tara standing 20 feet from a tree and the angle of elevation is 72°. About how tall is the tree?
Zinaida [17]

Answer:

Approx 61.554 feet

Step-by-step explanation:

Since we are dealing with the opposite and adjacent sides, we will use tangent as our ratio.

Since the angle of elevation is 72 degrees, the left side of our equation is tan(72).

The right side of the equation is opposite over adjacent.

x/20

Set these equal to each other.

tan(72) = x/20

Simplify.

20 tan(72)=x

20(3.078) = x

x is approximately 61.554.

4 0
3 years ago
HELP ME PLEASE!!!
ser-zykov [4K]

parallel lines, have the same exact slope, hmmm what is the slope of y = -2/3 x + 1/3 anyway? well, low and behold, the equation is already in slope-intercept form, therefore


\bf ~~y=\stackrel{slope}{-\cfrac{2}{3}}x+\cfrac{1}{3}~~ has a slope of -2/3.


so we're really looking for a line whose slope is -2/3 and runs through 9,4.


\bf (\stackrel{x_1}{9}~,~\stackrel{y_1}{4})~\hspace{10em}slope =  m\implies -\cfrac{2}{3}\\\\\\\stackrel{\textit{point-slope form}}{y- y_1= m(x- x_1)}\implies y-4=-\cfrac{2}{3}(x-9)\\\\\\y-4=-\cfrac{2}{3}x+6\implies y=-\cfrac{2}{3}x+10

8 0
3 years ago
Read 2 more answers
There are 32 times students can work in the computer lab during one week. If 24 students can work in the computer lab at one tim
uysha [10]
600 students can work in the lab

4 0
3 years ago
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Help me with this question please! I’ll mark you brainlist and give 5 stars for this!
hoa [83]
First question is A
3 0
3 years ago
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*Please help, I will mark brainliest!*
FinnZ [79.3K]

Answer:

If we are to treat these as two ordered pairs, then the rate of change is 1.25.

Step-by-step explanation:

To find this, use the slope equation with the ordered pairs.

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

m = (11 9/16 - 9 1/16)/(12 - 10)

m = (2 8/16)/2

m = 2.5/2

m = 1.25

Now we know that this could be a function since we have a constant slope.

8 0
4 years ago
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