Answer:
Step-by-step explanation:
d^4-81
(d^2)^2-(9)^2
Using formula
(d^2+9)(d^2-9)
Answer:
4k + 2j + 1
Step-by-step explanation:
5k + 3 + 2j – 2 – k =
5k - k + 2j + 3 - 2
4k + 2j + 1
Answer:
Given the statement: Crater Lake in Oregon in shaped like a circle with a diameter of about 5.5 miles.
Area of circle is given by:
where
A represents the area of a circle
d represents the diameter of a circle.
then;
It is given that Surface of Crater lake is shaped like a circle.
Substitute the given values, we have;
Area of a circle = 
= 
square miles
therefore, the area of a surface of a crater lake is, 23.74625 square miles.
2x2-5x-18=0
Two solutions were found :
x = -2
x = 9/2 = 4.500
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(2x2 - 5x) - 18 = 0
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 2x2-5x-18
The first term is, 2x2 its coefficient is 2 .
The middle term is, -5x its coefficient is -5 .
The last term, "the constant", is -18
Step-1 : Multiply the coefficient of the first term by the constant 2 • -18 = -36
Step-2 : Find two factors of -36 whose sum equals the coefficient of the middle term, which is -5 .
-36 + 1 = -35
-18 + 2 = -16
-12 + 3 = -9
-9 + 4 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -9 and 4
2x2 - 9x + 4x - 18
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (2x-9)
Add up the last 2 terms, pulling out common factors :
2 • (2x-9)
Step-5 : Add up the four terms of step 4 :
(x+2) • (2x-9)
Which is the desired factorization
Equation at the end of step 2 :
(2x - 9) • (x + 2) = 0
Step 3 :
Theory - Roots of a product :
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
