It is 2x and 4y, so you need to use pythagorean theorem. 2 squared is 4, and 4 squared is 16. Add them, and you get 20. The problem is that that won't square to a whole number, so the closest I can get it is the square root of 20, or 2 root 4.
Answer: x = 5
Step-by-step explanation:
The area of a rectangle is the length times the width. Since the dimensions are given as functions of x, youre going to have to use FOIL to combine them, then set that answer equal to the given value of 72.
l*w = (x+3)*(x+4) = x^2 + 7x +12 = 72
Subtract 72 on both sides. There is a reason why we'll do this instead of subtracting 12. The quadratic formula will help us to solve for x.
x^2 + 7x - 60 = 0
Apply the quadratic formula

We cant have a negative x value because that would result in negative dimensions and a negative area, which is impossible in this context. So you want to add the 17 instead of subtracting it.
x = 5 and x = -12
An alternate way is just factoring the trinomial to:
(x+12)(x-5) = 0
Answer:
The number of extra glasses required is 3954.
Step-by-step explanation:
Total volume of water in a bottle = 370 liters
Number of glasses, N = 46
capacity of each glass = 90 ml = 0.09 liter
The volume of water required to fill 46 glasses is
= 0.09 x 46 = 4.14 liter
The amount of water left = 370 - 4.14 = 355.86 liter
The number of extra glasses required to fill is
n = 355.86/0.09 = 3954
So, the number of extra glasses required is 3954.
To find the area of a parallelogram, you use the area formula:
Area = Base * Height
Then, all you have to do is substitute in your known integers and solve. Therefore:
Area = 15 * 21 2/3
When we multiply these two numbers, we get
Area = 325 square yards or yards
Answer:
6
Step-by-step explanation:
đạo hàm cấp 2 của f(x) rồi thế 0 vào