Whether dividing constant terms or polynomials, we always have definitive terms when it comes to division. Suppose we say, 10x divided by 2. The dividend is the 10x and the divisor is the 2. In other words, the dividend is the number to be divided by the divisor, to obtain the answer called the quotient.
When dividing polynomials, your main goal is to be able to divide the dividend evenly into the <em>divisor</em>. For example, we divide x²+2x+1 by x+1. The first thing you're going to focus is, what term will completely divide the first term of the polynomial? That would be x. Why? Because when you multiply x with x+1, the product is x²+x. When you subtract this from the polynomial, the x² will cancel out. All you have to do is subtract x from 2x, yielding x. Then, you carry down the last term of the equation: +1. You do the steps again. The term that will completely divide x+1 by x+1 is 1. When you subtract the two, you will come up with zero. That means there is no remainder. The polynomial is divisible by the divisor.
x + 1
------------------------------------
x+1| x²+2x+1
- x²+x
----------------------
x +1
- x +
------------
0
Answer:
x=3 meters
Step-by-step explanation:
step 1
Find the area of the rectangular pool
we have
substitute
step 2
Find the area of rectangular pool including the area of the walkway
Let
x ----> the width of the walkway
we have
substitute
step 3
Find the area of the walkway
To find out the area of the walkway subtract the area of the pool from the area of rectangular pool including the area of the walkway
so
step 4
Find the value of x if the area of the walkway equal the area of the pool
so
Solve for x
Solve the quadratic equation by graphing
The solution is x=3 meters
see the attached figure
To solve this question, you need to find how long jump is. For 2m high with <span>1.67 m/s2 it would be:
h= 1/2 gt^2
2= 1/2 * (1.67) t^2
t^2= 1.67
t= 1.29
If the speed is 20 mph and the jump is 2 second, the distance traveled would be:
20 miles/ hour * 1.29 second * (1 hour/3600second)= 0.007179 miles
If you need to convert it to meter then: </span>0.007179 mile * 1609.34meter/ mile= 11.55 meter
Answer:
Step-by-step explanation:
model C
Answer:
Step-by-step explanation:
Given the expression 4^{-2}•7^{-2}. The following expression are equivalent to given expression on simplification.
Generally from indices, a^-b = 1/a^b. Applying this to the given expression we have:
4^{-2}•7^{-2} = 1/4^2 • 1/7^2
= 1/(4×4) • 1/(7×7)
= 1/16 • 1/49
= 1/(16×49)
= 1/784
