Step-by-step explanation:
Using Pythagoras' Theorem, hypotenuse squared is equal to adjacent squared plus opposite squared.
The hypotenuse here is line PQ, the adjacent is line PR and the opposite is line QR.
Therefore, PQ^2 = PR^2 + QR^2
(2x + 7)^2 = (3x + 3)^2 + (x + 2)^2
{4x}^{2} + 28x + 49 = {9x}^{2} + 18x + 9 + {x}^{2} + 4x + 4
collecting like terms
{4x}^{2} - {9x}^{2} - {x}^{2} + 28x - 18x - 4x + 49 - 9 - 4 = 0
- {6x}^{2} + 6x + 36 = 0
Multiplying through by -1 to match the given equation
{6x}^{2} - 6x - 36 = 0
dividing through by 6
{x}^{2} - x - 6 = 0 (the final equation)
Answer:
There are 36 possibilities per character (26 lower case letters + 10 numbers), so the total number of permutations are 36^4 = 1,679,616
Step-by-step explanation:
Answer:
_24
Step-by-step explanation:
x −1 −2 −3
y 4 6.5 9
Function 2
Answer:
7-8t
Step-by-step explanation:
3(1-t)-5(1-t)+9= 3-3t-5-5t+9
7-8t
A/B : 4/9 = 12/B
cross multiply
(4)(B) = (9)(12)
4B = 108
B = 108/4
B = 27
P = 4a...where a is the length of one side
P = 4(27)
P = 108 yds <=== perimeter of square B