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sdas [7]
3 years ago
7

David leaves the house to go to school. He walks 200 meters west and

Mathematics
1 answer:
kvasek [131]3 years ago
3 0
Pythagorean Theorem, where a^2+b^2=c^2. Just plugging in the numbers:
200^2 + 125^2=C^2
40,000 + 15,625=C^2
55,625=C^2
Then just take the square root
C=235.8495
If the number needs to be rounded then 236 meters.
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Find the limit, if it exists. (If an answer does not exist, enter DNE.)
Charra [1.4K]

Note that your function can be written as

\begin{cases}\frac{2-(-x)}{2+x}&\text{if } x0\end{cases} = \begin{cases}\frac{2+x}{2+x}&\text{if } x0\end{cases} = \begin{cases}1&\text{if } x0\end{cases}

So, if x is negative, your function is identically equal to 1. In particular, the limit as x approaches -2 will be 1 as well.

6 0
3 years ago
Find how far the object travels in the given amount of time 3 minutes moves 3.75 in 25 seconds
ivanzaharov [21]
180s/25s = 7.2

3.75 * 7.2 = 27
6 0
3 years ago
Lisa collect rain water in a large barrel that weighs 25 pounds when there are 10 gallons of water in the barrel the total weigh
igomit [66]
We can model this situation with a linear equation. We know for our problem that the initial point is (0, 25), and the next point is (10, 108.4). To relate those points and find the slope of our linear equation, we are going to use the formula: m= \frac{y_{2}-y_{1}}{x_{2}-x_{1} }. Notice that we know from our points that: x_{1}=0, y_{1}=25, x_{2}=10, and y_{2}=108.4. So, lets replace those values in our formula to find m:
m= \frac{108.4-25}{10-0}
m= \frac{83.4}{10}
m=8.34

Now that we have the slope of our linear equation, we can use the point slope formula: y-y_{1}=m(x-x_{1}) to complete our linear equation:
y-25=8.34(x-0)
y-25=8.34x
y=8.34x+25
Or in function notation: f(x)=8.34x+25

We can conclude that the equation that matches this situation is y=8.34x+25.
3 0
3 years ago
Read 2 more answers
Which graph has x-intercept (-5,0) and y-intercept (0,-2)?​
DaniilM [7]

The top one is x-intercept, and the bottem one is y-intercept. Also the gray boxes are your answer

Download pdf
3 0
3 years ago
Read 2 more answers
Find the area of a triangle with vertices (1, -1), (7,5), (1, 7).
IgorC [24]
  • Please prefer the picture for your answer.
  • We know, area of a ∆ = 1/2 × base × height.
  • Here, base = ( 7 + 1) units = 8 units.
  • Height = (7 - 1) units = 6 units.
  • Therefore, the area of the ∆
  • = (1/2 × 8 × 6) square units
  • = 24 square units.

<h3><em><u>Answer</u></em><em><u>:</u></em></h3>

<em><u>The </u></em><em><u>area </u></em><em><u>of </u></em><em><u>the </u></em><em><u>triangle</u></em><em><u> is</u></em><em><u> </u></em><em><u>2</u></em><em><u>4</u></em><em><u> </u></em><em><u>square</u></em><em><u> units</u></em><em><u>.</u></em>

Hope you could get an idea from it.

Doubt clarification - use comment section.

7 0
2 years ago
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