A <em>difference of squares</em> is exactly what it suggests - the difference between two perfect squares. 25 - 9, 4 - 1, x² - 25, and 125 - b² are just a few examples. Differences of squares factor very nicely, too. For any difference of squares x² - y²:
x² - y² = (x + y)(x - y)
We can see that this is true by taking the right side of the equation and distributing:
(x + y)(x - y) = (x + y) · x + (x + y) · (-y) = x² + xy - xy - y² = x² - y²
We notice in our given expression that 36 is a perfect square - namely, 6². We want the expression x² + ?x - 36 to look like x² - 6², which we can accomplish if we replace the question mark with a 0.
Answer:
B. 3x -7y < -21
Step-by-step explanation:
For this problem, a quick way to the correct answer choice is to determine on which side of the y-intercept the equation tells you the solution lies. That is ...
- set x=0
- divide by the coefficient of y
Doing this transforms the answer choices to ...
A: y < 3
B: y > 3
C: y > -3
D: y < -3
The graph clearly shows the solution space on the y-axis is in the region y > 3, matching choice B.
Two who between which the products lies is 2 and 3.
Explanation:
First, let's multiply 3 x 3/4, and that gives us 9/4 or 2 1/4. 2 1/4 is between 2 and 3 in the number line, therefore the answer is 2 and 3.
By doing the math. if you do the math then you will get the answer.
so yea. do the math lol