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:
y = 1x - 5
Step-by-step explanation:
We will use the slope equation for this: y = mx + b
y is our output/answer
m is our slope, or the rate of change
x is our x coordinate. For example, in (3,2) x would be 3.
b is our y intercept, or where the line passes through the y axis.
Knowing this, we can fill out the blanks.
when we look at one point on the grid, and then find the next closest number from the point we chose, we can see that the slope is 1 so we now have: y = 1x + b
to find b, we find where the line passes over the y axis which on our grid is -5. Normally we would write: y = 1x + 5 Since we have a negative 5 or -5, we will change the + to a -
This means we write y = 1x -5.
I hope this helps you and have a great day :D
Answer:
the other percentage is 3.96 equals 10.
Step-by-step explanation:
The volume of a cone with respect to its diameter is:
V=(hπd^2)/12 solving this for d we have:
d=√[(12V)/(hπ)], we are given that V=128π and h=5 so
d=√(1536π)/(5π)
d=√(1536/5)
d=√307.2 cm
d≈17.53 cm (to nearest hundredth)
