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vovikov84 [41]
3 years ago
13

Please help asap !! ill mark brainliest but be corrrecct

Mathematics
1 answer:
Yuliya22 [10]3 years ago
3 0

Answer:

k=4

Step-by-step explanation:

Given

A line x=7

The line has only y-intercept which means that it is a vertical line.

As the two points are

A(10,2) and B(k,2)

The y-intercepts of both the points are same i.e. y=2 which means that the line fomed by joining A and B is a horizontal line.  

As x=7 is a vertical line and bisects the horizontal line, the mid-point of line AB will be the point where first line (x=7) bisects the second which is (7,2).

The x-coordinate of mid-point is 7 because the vertical line has 7 as x-intercept and y-intercept is two because the horizontal line has y-intercept 2.

So,

Mid-point=((10+k)/2  ,2)=(7,2)

Comparing the x-coordinate

(10+k)/2=7

10+k=7*2  

10+k=14

k=14-10

k=4

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3) Usain Bolt holds the men’s world record in both the 100 meter (9.58 seconds) and the 200 meter (19.19 seconds). Tyson Gay’s t
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We know that

1 km-------------> 1000 m
 X-----------------> 1 m
X=1/1000--------> 0.001 km

1 hour---------> 3600 sec
 X---------------> 1 sec
X=1/3600--------> 0.0002777 hour

1 ft-----------> 0.3048 m
X-----------> 1 m
X=1/0.3048 ----------> 3.28084 ft

Part 1) <span>What are all three sprinters times in kilometers per hour? Round your answers to the nearest tenths. 

a) </span><span>Usain Bolt  9.58 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.58 sec-------------> 9.58*(1/3600)-----> 0.0026611 hour

0.10/0.0026611----------> 37.6 km/hour

</span>b) Tyson Gay  9.69 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
9.69 sec-------------> 9.69*(1/3600)-----> 0.0026916 hour

0.10/0.0026916----------> 37.2 km/hour

c) Florence Griffith-Joyner  10.49 sec  in 100 meter
100 meter-----------> 100*0.001------> 0.10 km
10.49 sec-------------> 10.49*(1/3600)-----> 0.0029138 hour

0.10/0.0029138----------> 34.3 km/hour

Part 2) <span>What are all three sprinters times in feet per second?
</span>
a) Usain Bolt  9.58 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.58 sec----------> 34.25 ft/sec

b) Tyson Gay  9.69 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/9.69 sec----------> 33.86 ft/sec

c) Florence Griffith-Joyner  10.49 sec  in 100 meter
100 meter-----------> 100*3.28084------> 328.084 ft
328.084 ft/10.49 sec----------> 31.28 ft/sec

Part 3) <span>How much faster was Usain Bolt in the 100 meter than Tyson Gay?
9.69-9.58-------> 0.11 sec

</span>Usain Bolt  was 0.11 sec faster than Tyson Gay in the 100 meter<span>

</span>
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