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3 years ago

6

A mountain road is 5 miles long at a Constant rate. After 2 miles, the elevation is 5500 feet above sea level. After 4 miles, th

e elevation is 6200 feet above see level. Find the elevation on the road at the point where the road begins

1 answer:

olchik [2.2K]3 years ago

5 0

Answer:

The road is 4800 ft above sea level

Step-by-step explanation:

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The vertices of ∆ABC are A(2, 8), B(16, 2), and C(6, 2). what is the perimeter and area in square units

ad-work [718]

Check the picture below.

the triangle has that base and that height, recall that A = 1/2 bh.

now as for the perimeter, you can pretty much count the units off the grid for the segment CB, so let's just find the lengths of AC and AB,

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&C&(~ 6 &,& 2~)
\end{array}~~~ 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
AC=\sqrt{(6-2)^2+(2-8)^2}\implies AC=\sqrt{4^2+(-6)^2}
\\\\\\
AC=\sqrt{16+36}\implies AC=\sqrt{52}\implies AC=\sqrt{4\cdot 13}
\\\\\\
AC=\sqrt{2^2\cdot 13}\implies AC=2\sqrt{13}$

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&A&(~ 2 &,& 8~) 
% (c,d)
&B&(~ 16 &,& 2~)
\end{array}\\\\\\
AB=\sqrt{(16-2)^2+(2-8)^2}\implies AB=\sqrt{14^2+(-6)^2}
\\\\\\
AB=\sqrt{196+36}\implies AB=\sqrt{232}\implies AB=\sqrt{4\cdot 58}
\\\\\\
AB=\sqrt{2^2\cdot 58}\implies AB=2\sqrt{58}$

so, add AC + AB + CB, and that's the perimeter of the triangle.

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Look at the cars mpg (miles per gallon) then multiple it by 15

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3 years ago

Which equation represents the line shown in the graph below?

likoan [24]

The answer is y=2x+5

To get it use point slope by taking two points and solving .

Slope formula

M= y2-y1/x2-x1

With two points

(0,5)(-5,-5)

M= -5-5/-5-0

M= -10/-5

M=2

2 is slope

Now get one of the points

(0,5) And slope to create equation y=mx+b . Now find b

5=2(0)+b

5=b

So now you can put it all together

Y= 2x+5

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3 years ago

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Marat540 [252]

The answer is (3,0). Hope this helps!(:

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3 years ago

No links or files, worth 25 points, please help!

zavuch27 [327]

Answer:

6

Step-by-step explanation:

2 to the power of 1 is 2, anything to the power of one is the original number itself. 3*2=6

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2 years ago

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