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seropon [69]
3 years ago
12

Maggie is training for a bicycle trip across her home state. She recorded the approximate number of miles biked for ten days of

training. The graph below shows the data that she recorded as a function of the distance biked over time. Maggie only wore her fitness tracker on two of the days that she trained. So, from her fitness tracker she verified that on the third day she biked 20 miles, and on the eighth day she biked 35 miles. Use these two data points to determine the equation of the line of best fit for Maggie's data. A. B. C. D.

Mathematics
1 answer:
Inessa [10]3 years ago
5 0

let

A(3,20) B(8,35)

step 1

find the slope AB

m=(y2-y1)/(x2-x1)-------> m=(35-20)/(8-3)------> m=15/5-----> m=3

step 2

with m=3 and the point A(3,20) find the equation of the line

y-y1=m*(x-x1)------> y-20=3*(x-3)----> y=3x-9+20------> y=3x+11

therefore

the answer is

the equation of the line of best fit for Maggie's data is

y=3x+11

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sukhopar [10]

Answer:

-4<n ≤ 5

Step-by-step explanation:

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2 years ago
The perimeter of a rectangle is 16.6km, and its area is 13.42km2. Find its length and width. length : km width : km
Otrada [13]

Answer:

l=5.12 & w=2.62

Step by step explanation:

A=l×w

13.42=lw

w=13.42/l

p = 2(l + w) \\ 16.6 = 2(l +  \frac{13.42}{l} ) \\ 16.6 = 2( \frac{ {l}^{2}  + 13.42}{l}) \\ 16.6 = 2(l + 13.42) \\ 16.6 = 2l + 26.84 \\ 2l = 26.84 - 16.6 \\ 2l = 10.24 \\ l =  \frac{10.24}{2}  \\ l = 5.12km

Since you have found the value of the length you can find the value.of the width.

w =  \frac{13.42}{l}  \\ w =  \frac{13.42}{5.12}  \\ w = 2.62km

5 0
3 years ago
Triangle ABC is an isosceles triangle in which side
Shkiper50 [21]

Answer:

Option B.

Step-by-step explanation:

Consider the below figure attached with this question.

It is given that triangle ABC is an isosceles triangle.

From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).

Distance formula:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Using this formula, we get

AB=\sqrt{(2-(-2))^2+(-1-(-4))^2}=\sqrt{16+9}=5

BC=\sqrt{(3-2)^2+(-4-(-1))^2}=\sqrt{1+9}=\sqrt{10}

AC=\sqrt{(3-(-2))^2+(-4-(-4))^2}=\sqrt{25}=5

Now,

Perimeter of triangle ABC = AB + BC + AC

                        =5+\sqrt{10}+5

                        =10+\sqrt{10}

So, perimeter of triangle ABC is 10+\sqrt{10} units.

Therefore, the correct option is B.

4 0
3 years ago
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Kisachek [45]

Answer:

15x +10y

Step-by-step explanation:

Just multiply 5x and 2y times 5 and don't combine them since they are different terms.

5 0
2 years ago
(-2,-7) and (7,-7) <br> What slope
Zarrin [17]

Answer:

Step-by-step explanation:

In order to find the slope, subtract -7 and -7, which is -7-(-7)=-7+7=0

Then subtract 7 and -2, which is 7-(-2) = 7+2=9

Divide 0 and 9 which equals 0

the slope is 0

3 0
3 years ago
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