Answer:
B.
Step-by-step explanation:
GIven that and , and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:
The location of B is now determined after algebraic handling:
Then:
Which corresponds to option B.
(-5, 0) and (-1, 0) are the solutions of -2(-x - 3)² + 8 = 0
Step-by-step explanation:
- Step 1: Find the solutions of -2(-x - 3)² + 8 = 0.
Solutions are the intersecting points of y = -2(-x - 3)² + 8 and y = 0.
⇒ Solutions are (-5, 0) and (-1, 0)
- Step 2: (-5, 0) and (-1, 0) are solutions of -2(-x - 3)² + 8 = 0
Question:
What is the following product?
(√14 - √3) (√12 + √7)
Answer:
2√42 + 7√2 - 6 - √21
Step-by-step explanation:
Given.
(√14 - √3) (√12 + √7)
Required
Product
(√14 - √3) (√12 + √7)
We start by opening the brackets
√14(√12 + √7) -√3(√12 + √7)
√(14*12) + √(14*7) - √(3*12) - √(3*7)
Expand individual brackets
√(2*7*2*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(2*2*7*6) + √(2*7*7) - √(3*3*4) - √(3*7)
= √(4*42) + √(2*49) - √(9*4) - √(3*7)
Split Roots as follows
= √4 * √42 + √2 * √49 - √9 * √4 - √21
Take square root of perfect squares
= 2 * √42 + √2 * 7 - 3 * 2 - √21
= 2√42 + 7√2 - 6 - √21
Hence, the result of the product (√14 - √3) (√12 + √7) is 2√42 + 7√2 - 6 - √21
Your answer should come to:
y = -2/3x + 3