Answer: (3b + 5)(3b - 5)
Because both terms, 9b² and 25, are perfect squares, you can factor by taking the square roots of both terms.
The square root of 9b² is 3b (3b × 3b = 9b²).
The square root of 25 is 5 (5 × 5 = 25).
9b² - 25 has a negative, so the factored expression would be
(3b + 5)(3b - 5). The signs (+ and -) alternate in this case because the expression, 9b² - 25, has no middle term.
You can check your work by using FOIL. See the attachment below.
F irst
O utside
I nside
L ast
Answer:
Step-by-step explanation:
<h3>Given </h3>
<h3>To find</h3>
<h3>Solution</h3>
- 5x:9=7:3
- 5x = 7*9/3
- 5x = 7*3
- 5x = 21
- x = 21/5
- x = 4.2
Answer:
Step-by-step explanation:
The point is located in Quadrant II of the graph, where x-values are negative and y-values are positive.
Each marking on the graph represents one unit of distance. The two <em>axes</em> meet at the origin, where the coordinate point is equal to 
.
So, you can count backwards once from the origin to get your x-value ⇒ 
and count up upwards four times from 
to get your y-value ⇒ 
.
Finally, place these in a coordinate point 
⇒ .
Before we get started, it is good to remember PEMDAS - the acronym that tells you the order to carry out equations.
P = parentheses
E = exponents
M = multiplication
D = division
A = addition
S = subtraction
Knowing this, we should start by doing the equations <em>within </em>each parentheses.
So we did the addition and subtraction pieces within each group leaving us with the above equation. Now let's multiply:
20 is the answer.
