Answer:
y = 4
Step-by-step explanation:
Using the altitude- on- hypotenuse theorem
( leg of large Δ )² = ( part of hypotenuse below it ) × ( whole hypotenuse )
y² = 6 × (6 + 2) = 6 × 8 = 48 ( take the square root of both sides )
y = 
=
=
×
= 4
Answer:
-12°C
Step-by-step explanation:
6AM = 2°C
8AM= -2°C
10AM= -6°C
12AM= -8°C
2PM= -12°C
The answer is D as it can be rewritten as -((y^2)/5)-(8/5)=x. Solving for the x-intercepts you get -((y^2)/5)-(8/5) = 0 as you want to find the y values when x is zero. Solving for y you get: (y^2)/5)+(8/5) = 0 => (y^2)/5)=-(8/5) => y^2=-8 => y = plus or minus sqrt(-8). The first problem is that you have 2 x intercepts which already makes it not a function and second sqrt(-8) is an imaginary number making the solution not a real number.
The answer is Between 12 and 26
Answer:
168 minutes
Step-by-step explanation:
It takes 120 minutes for the first person to clean the jellyfish tank.
This means that in 1 minute the first person cleans
of the tank.
Let the time taken by the second person working alone to clean the tank be x minutes.
Then in 1 minute the second person cleans
of the tank.
Working together, the two persons clean,
of the tank
But it is given that the two persons working together can clean the tank in 70 minutes. This means that in 1 minute both of them can clean
of the tank.
Expressing in equation form:
![\[\frac{1}{120} + \frac{1}{x} = \frac{1}{70}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B1%7D%7B120%7D%20%2B%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{70} - \frac{1}{120} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B70%7D%20-%20%5Cfrac%7B1%7D%7B120%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{12-7}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B12-7%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{5}{840} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B5%7D%7B840%7D%20%5C%5D%20)
![\[=> \frac{1}{x} = \frac{1}{168} \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20%5Cfrac%7B1%7D%7Bx%7D%20%3D%20%5Cfrac%7B1%7D%7B168%7D%20%5C%5D%20)
![\[=> x = 168 \]](https://tex.z-dn.net/?f=%5C%5B%3D%3E%20x%20%3D%20168%20%5C%5D%20)
This means that the second person can clean the tank in 168 minutes.