What is the y- intercept of the equation Y=2x+7?
1 answer:
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Answer:
The length of sides of one square is 5cm and length of sides of another square is 9cm
Step-by-step explanation:
Let the length of rectangle be x and width of rectangle be y.
We have given,
Area of rectangle = 45 cm²
i.e. Area of rectangle = x·y = 45 or xy = 45 ---------(1)
Next, two squares are constructed from two adjacent sides of rectangle.
i.e Side length of one square will be x and side length of another square will be y.
Area of one square = x²
And area of another square = y²
According to problem,
Sum of area of two squares is 106 cm²
∴ x²+y² = 106 ---------------(2)
From equation (1) and (2) , we can find x and y.
xy = 45 or x = , Plug this in equation (2).
We get,
x² + y² = 106
or
or
or
On solving this equation we get ,
y²=81 or 25
or y = 9 or 5
for y =9 , x=
or for y = 5 , x =
Hence the length of sides of one square is 5cm and length of sides of another square is 9cm
The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .
<u>Step-by-step explanation:</u>
Here we have , Twenty-eight athletes participate in a 100-meter race. The time of each athlete is measured during the qualification round. The average time is 11 seconds. The 8 athletes with the fastest time qualified for the final. The average time of these 8 athletes is 10.5 seconds. Let's have equations for this:
where
are athletes
⇒
⇒
⇒
⇒ , where m is average time of the 20 athletes who did not qualify for the final.
⇒
⇒
⇒
∴ The average time of the 20 athletes who did not qualify for the final is 11.2 seconds .