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Degger [83]
3 years ago
10

The graph shows the results of a race between Damon and Alex. Both boys begin the race at the same time.

Mathematics
2 answers:
Zarrin [17]3 years ago
4 0

Answer:

1st and 3rd statements are true.

Sep by step explanation:              

We have been given a graph that shows the results of a race between Damon and Alex. Both boys begin the race at the same time.

Let us see which of the given option are correct.

1. Let us find Alex's speed using slope of the graph.

\text{Slope}=\frac{80-0}{0-12}

\text{Slope}=\frac{80}{-12}

\text{Slope}=-6\frac{8}{12}

\text{Slope}=-6\frac{2}{3}

Slope is showing remaining distance per second. The distance is decreasing 6\frac{2}{3} yards per second. Therefore, Alex is running at a rate of 6\frac{2}{3} yards per second and 1st statement is the true.

2. We can see from our graph that before starting the race Damon's distance from finish line is 100 yards and Alex's distance from finish line is  80 yards, therefore, Alex got a 20 yard head start.  

Therefore, 2nd statement is false.

3. Let us find speed of Damon using slope.

\text{Slope}=\frac{100-0}{0-10}

\text{Slope}=\frac{100}{-10}

\text{Slope}=-10

We can see that slope is showing remaining distance per second. The distance is decreasing 10 yards per second therefore, Damon is running at a rate of 10 yards per second and 3rd statement is true.  

4. We have already seen that Alex is given a 20 yard head start but he lost the race as he completed the race 2 seconds after Damon, therefore, 4th statement is false.

5. We can see from our graph that Alex completed race in 12 seconds, while Damon completed race in 10 seconds that is 2 minutes before Alex, therefore, 5th statement is false.

6. We have already seen that Damon runs at 10 yards per second and Alex runs at rate of 6\frac{2}{3} yards per second, therefore, last option is incorrect.


NeX [460]3 years ago
3 0
The first one, the 3rd one and the 5th one are true.
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7 0
3 years ago
Read 2 more answers
How to do this ? Wat or how do you work this out I need help this is due tmrw
velikii [3]
So first divide the equation on both sides by 3. We get x - 2y = 4
. Slope-y-intercept form is of the form y = mx + b. Rearranging x - 2y = 4
, we get 2y = x - 4. Divide by two, we get y =  \frac{x}{2} - 2, which is of that form.

Graphing: The y intercept is at -2, and the slope is 1/2.
4 0
3 years ago
PLEASE HURRY
stich3 [128]

Answer:

\large\boxed{y=\dfrac{1}{2}x-10}

Step-by-step explanation:

\text{Let}\ k:y=m_1x+b_1\ \text{and}\ l:y=m_2x+b_2.\\\\l\ \perp\ k\iff m_1m_2=-1\to m_2=-\dfrac{1}{m_1}\\\\\text{We have the equation of a line in standard form}\ Ax+By=C.\\\text{Convert to the slope-intercept form}\ y=mx+b\\\\2x+y=-7\qquad\text{subtract 2x from both sides}\\\\y=-2x-7\to m_1=-2\\\\\text{Therefore}\ m_2=-\dfrac{1}{-2}=\dfrac{1}{2}.\\\\\text{We have the equation}\ y=\dfrac{1}{2}x+b.

\text{The line passes through the point (8, -6). Put the coordinates of this}\\\text{point to the equation and solve}\ b:\\\\-6=\dfrac{1}{2}(8)+b\\\\-6=4+b\qquad\text{subtract 4 from both sides}\\\\-10=b\to b=-10\\\\\text{Finally we have:}\ y=\dfrac{1}{2}x-10

8 0
3 years ago
9x6= I JUST WANT TO KNOW THE GOD DAM ANSWER :(
OlgaM077 [116]

Answer:

54 ;)

explanation:

6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 + 6 = 54

3 0
3 years ago
Will mark correct answer answer Brainliest!
joja [24]

Answer:

It will take luis 18 hours

Step-by-step explanation:

1/a + 1/b = 1 /t

where a is  the time for one individual working alone

b  is the time the second individual working alone

t is the time the two individuals working together

let a = time for tran to work

b = time for luis  to work

1/9 + 1/b =1/6

multiply by 36b to clear the fractions

36b *(1/9 + 1/b) =1/6 * 36b

4b + 36 = 6b

subtract 4b from each side

36 = 2b

divide by 2

18 = b

It will take luis 18 hours

4 0
3 years ago
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