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Cerrena [4.2K]
3 years ago
8

Fatema loves to run marathons. The last one she participated in took her 2 hours to complete. The year before (2016) , she compl

eted the same marathon in 8/11 of the time and the year before that (2015) she completed it in 9/12 of the time. What year did Fatema run the fastest? JUSTIFY YOUR ANSWER PLEASE I NEED HELP ASAP!
Mathematics
1 answer:
Lelechka [254]3 years ago
3 0
2017 = 2 hrs x 60 mins = 120 mins
2016 = 8/11 x 120 mins = 87.27 mins
2015 = 9/12 x 120 mins = 90 mins

Therefore, Fatema ran the fastest in 2016.
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Solve the simultaneous equation y-2x+1=0 and 4x^2+3y^2-2xy=7
Lapatulllka [165]

The first equation is y-2x+1=0

y=2x-1 (Equation 1)

The second equation is 4x^{2}+3y^{2}-2xy=7 (Equation 2)

Putting the value of x from equation 1 in equation 2.

we get,

4x^{2}+3(2x-1)^{2}-2x(2x-1)=7

4x^{2}+3(4x^{2}+1-4x)-4x^{2}+2x=7

by simplifying the given equation,

12x^{2}-10x-4=0

6x^{2}-5x-2=0

Using discriminant formula,

D=b^{2}-4ac

D=25-4 \times 6 \times -2 = 73

Now the formula for solution 'x' of quadratic equation is given by:

x=\frac{-b+\sqrt{D}}{2a}  and  x=\frac{-b-\sqrt{D}}{2a}

x=\frac{5+\sqrt{73}}{12}  and x=\frac{5-\sqrt{73}}{12}

Hence, these are the required solutions.

8 0
3 years ago
The equation F equals 9/5C + 32 relates temperature measured in degrees Celsius, C, to degrees F, Fahrenheit. Determine whether
muminat

Answer: There is none.

Step-by-step explanation:

There is no proportional relationship between Celsius and Fahrenheit because for a proportional relationship to exist, the two variables need to have an equivalent ratio between them which would ensure that their values vary constantly when they are either divided or multiplied.

In other words, only the arithmetic operations of multiplication and division should be present. In the above there is an additive operation which renders the two variables being Fahrenheit and Celsius, non-proportional.

6 0
2 years ago
Ben and Sam are diving into a lake. At 14 below the surface, Ben spots Sam 9 ft directly below him. Find Sams depth SHOW WORK AN
natka813 [3]
Sam is at 23 feet below the surface

Explanation
I did 14+9 and got 23
7 0
2 years ago
Read 2 more answers
The table below represents the function f
alukav5142 [94]

Answer:

1

Step-by-step explanation:

I belive its one because 3^2  is 9 and 9+1 = 10

to make sure  it not just once 3^3 is 27 and 27+1=28

3 0
3 years ago
I will give brainliest to whoever helps me with this question. Also, if you could please explain to me how you solved it I would
Elodia [21]

Answer:

3 km

Step-by-step explanation:

Lets say that you flipped the smaller triangle to be facing the same way as the bigger triangle. To find the X side, we need to do 4.5/1.2 = 1.75. which is the difference between the sides. So then we do 1.75 x 0.8 = 3.

Sorry if I couldn't explain well enough, which is not something I'm good at. I hope you get the question right! Glad I could help! :)

3 0
2 years ago
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