Answer:
Step-by-step explanation:
To simplify or to write in the form a+bi, you will need multiply the top and bottom by the bottom's conjugate like so:
Keep in mind when multiplying conjugates you only have to multiply first and last.
That is the product of (a+b) and (a-b) is (a+b)(a-b)=a^2-b^2.
(a+b) and (a-b) are conjugates
Let's multiply now:
i^2=-1
Answer:
Step-by-step explanation:
Answer:
7 crates of tomatoes
Step-by-step explanation:
588÷84=7
Answer:
- (3, 4) is the solution to both lines A and B.
Step-by-step explanation:
<u>Given</u>
- Line A with points (2, 6) and (5, 0)
- Line B with points (0, 2) and (6, 6)
<u>Lets get the equations for both lines</u>
Line A
- y = mx + b
- m = (0 - 6)/( 5 - 2) = -2
- 6 = 2*(-2) + b ⇒ b = 6+ 4 = 10
- y = - 2x + 10
Line B
- m = (6 - 2)/( 6 - 0) = 4/6 = 2/3
- b = 2 as per point (0, 2)
- y = 2/3x + 2
<u>We got two equations:</u>
- y = -2x + 10
- y = 2/3x + 2
<u>Solving the system:</u>
- -2x + 10 = 2/3x + 2
- 8/3x = 8
- x = 3 ⇒ y = 4
- (3, 4)
<u>Verifying answer options</u>
- (3, 4) is the solution to both lines A and B. YES
- (3, 4) is the solution to line A but not to line B. NO
- (0, 2) is the solution to both lines A and B. NO
- (0, 2) is the solution to line A but not to line B. NO
<span>In mathematics, the amount of space occupied by an object measured in three dimensions, expressed in cubic units is called the volume. Without the figure for this question, we cannot be certain on what is the total volume. You should just count the number of cubes formed in the figure. Hope this helps.</span>
