The diver begins 3 meters above the water
----------------------------
The diver reaches a maximum height of 8ft
The
Answer:
130,000 to 250,000
Step-by-step explanation:
We will use addition to find the length of the new, longer hose.
6.25 feet + 5.755 feet + 6.5 feet = 18.505 feet is the length of the new longer hose.
First, you need to rewrite the expression into binomial form, so you are working with two terms (as you world with a quadratic):
(x²)²-3(x²)-4=0
Now, you can place the x²s into brackets as the coefficient is now 1:
(x² )(x² )
Next, find out two numbers that add together to give you -3 and multiply to give -4 (these are the leftover integers after removing the x²s). These two numbers are -4 and 1.
Place the -4 and 1 into the brackets:
(x²-4)(x²+1)=0
Notice that the x²-4 is a difference of two squares, so can be further factorised into (x+2)(x-2)
This leaves you with a final factorisation of:
(x+2)(x-2)(x²+1)=0
Now we handle each bracket individually to obtain our four solutions for x:
x+2=0
x=-2
x-2=0
x=2
x²+1=0
x²=1
x=<span>±1</span>
Answer:
3 3/5
Step-by-step explanation:
