Answer:
Step-by-step explanation:
we know that
<u><em>Combinations</em></u> are a way to calculate the total outcomes of an event where order of the outcomes does not matter.
To calculate combinations, we will use the formula
where
n represents the total number of items
r represents the number of items being chosen at a time.
In this problem
substitute
simplify
Answer:
V =64 ft^3
Step-by-step explanation:
The volume of a cube is given by
V = s^3 where s is the side length
V = 4^3
V =64 ft^3
Answer:
the answer is C. class number and painting prefence
Step-by-step explanation:
hope this helps :) edge 2021
Answer:
option 1
Step-by-step explanation:
first we have to find the slopes of the lines
D(1, -2) E(3, 4)
y = m*x + b
m1: slope
m1 = (y2-y1) / (x2-x1)
m1 = (4 - (-2)) / (3 - 1)
m1 = 4+2 / 3-1
m1 = 6 / 2
m1 = 3
we do the same with the other 2 points
D(-1, 2) E(4, 0)
y = m*x + b
m2: slope
m2 = (y2-y1) / (x2-x1)
m2 = (0 - 2) / (4 - (-1))
m2 = -2 / 4 + 1
m2 = -2 / 5
m1 = 3 m2 = -2/5
for 2 lines to be perpendicular it must be met
m1 * m2 = -1
we check if they are perpendicular
3 * -2/5 = -1
-6/5 = -1 <-- no perpendicular
Answer:
(7, 32) and (2, 12)
Step-by-step explanation:
y = 4x + 4
y = x² - 5x + 18
4x + 4 = x² - 5x + 18
x² - 9x + 14 = 0
14 = (-7)(-2)
-9 = -7 + (-2)
(x - 7)(x - 2)=0
x= 7, x = 2
For x = 7
y = 4x + 4 = 4*7 + 4 = 32
(7, 32)
For x = 2
y = 4x + 4 = 4*2 + 4 = 12
(2, 12)
Check:
y = x² - 5x + 18
(7, 32)
32 = 7² - 5*7 + 18
32= 32 true
(2, 12)
12 = 2² - 5*2 + 18
12 = 12 true
