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scZoUnD [109]
2 years ago
5

Find the slope of the line from the points and the graph.

Mathematics
2 answers:
Marta_Voda [28]2 years ago
5 0
(2,4) and (5,13) is m=-1/3 and (4,5) and (9,-3) is m=-8/5
QveST [7]2 years ago
3 0

Answer:

15. m=3 16. m=-8/5 or -1.6

Step-by-step explanation:

The formula for slope is m=\frac{y_2-y_1}{x_2-x_1}

so for #15

\frac{13-4}{5-2}=\frac{9}{3}=3

and for #16

\frac{-3-5}{9-4}=\frac{-8}{5}=-1.6

You might be interested in
76 cm a 52 cm Find the area of the regular pentagon (the answer has one digit after the decimal point)​
alekssr [168]

Answer:

98.8 cm²

Step-by-step explanation:

Hi there!

A=\frac{1}{2} Pa where P is the perimeter of the pentagon and a is the apothem (the line going from the center of the pentagon one edge)

<u>1) Find the perimeter</u>

P=5l where l is the side length

Plug in the side length 7.6 cm

P=5(7.6)\\P=38

Therefore, the perimeter of the pentagon is 38 cm.

<u>2) Find the area</u>

A=\frac{1}{2} Pa

Plug in the perimeter (38) and the apothem (5.2)

A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (38)(5.2)\\A=\frac{1}{2} (197.6)\\A=98.8

Therefore, the area of the pentagon is 98.8 cm².

I hope this helps!

5 0
3 years ago
Let f(x)= 100 / −10+ e^ −0.1x . What is f(−6) ?
bija089 [108]

The value of f(-6) is -12.2

Explanation:

Given that the function f(x)=\frac{100}{-10+e^{-0.1\left(x\right)}}

We need to determine the value of f(-6)

The value of f(-6) can be determined by substituting the value for x=-6 in the function and simplify the function.

Hence, let us substitute x=-6 in the function, we get,

f(-6)=\frac{100}{-10+e^{-0.1\left(-6\right)}}

Let us apply the rule -\left(-a\right)=a , we get,

f(-6)=\frac{100}{-10+e^{0.1\left(6\right)}}

Multiplying the numbers, we get,

f(-6)=\frac{100}{-10+e^{0.6}}

The value of e^{0.6}=1.822

Substituting the value of e^{0.6}=1.822 , we get,

f(-6)=\frac{100}{-10+1.822}

Subtracting the denominator, we have,

f(-6)=\frac{100}{-8.178}

Dividing, we have,

f(-6)=-12.228

Rounding off to the nearest tenth, we have,

f(-6)=-12.2

Thus, the value of f(-6) is -12.2

4 0
3 years ago
I need loads of help!! If you know how to do this please help me!!!<br><br> It’s 6 and 7
dlinn [17]
6- comedy and action
7- .75
8 0
3 years ago
Which is the graph of y = _0.4x?<br><br> A.<br><br><br> B.<br><br><br> C.<br><br><br> D.
cestrela7 [59]
Y = -0.4x

1) It is a straight line
2) I passes through the origin (0,0), because the y-intercpet is 0.
3) The slope is negative, so it passes throuh II and III quadrants
4) The magnitude of the slope = 0.4
4) The angle of the line with the negative side of the x-axis is that whose tan is 0.4 => angle = 21.8 °

With all that information you can identify the graph, given that you didn't include the options.
8 0
3 years ago
Betty sets up a lemonade stand and charges $1 per glass. It cost her $50 to set up the stand. Which function gives the profit, p
Maksim231197 [3]
If you would like to find the function that gives the profit Betty makes by selling a number of glasses of lemonade, you can find this using the following steps:

p ... profit
g ... glasses of lemonade

f(g) = p = g * $1 - $50

The correct result would be f(g)<span> = g * $1 - $50.</span>
5 0
3 years ago
Read 2 more answers
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