Answer:
are a, b, and c the options or are they different questions?
Answer:
Jon did determine the probability correctly.
Step-by-step explanation:
<em>In Jon's closet, there are a total of 24 clothes. Among those pieces of clothing, there are a total of 9 out of 24 clothes that are black. There are also 11 shirts out of 24 clothes. </em>
<em />
<em>When a probability has OR in it, it means to add.</em>
<em />
<em>11/24 plus 9/24 gives you 20/24.</em>
<em />
<em>Therefore, Jon is correct.</em>
<em />
Answer:
k = 11
Step-by-step explanation:
Given the points are collinear then the slopes between consecutive points are equal.
Using the slope formula
m = 
with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)
m = 
= 
= 
Repeat with another 2 points and equate to
with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)
m = 
, then
= ( cross- multiply )
k - 1 = 10 ( add 1 to both sides )
k = 11
Answer:
-3 + 9i
Step-by-step explanation:
The conjugate of -3i is - 3 - i.
(- 3 i) × (- 3 - i)
Multiply both terms.
-3 + 9i
Answer:
<em>Equation; y = - x + 3</em>
Step-by-step explanation:
To determine the equation, let us first determine the slope of the line, through the equation ( y2 - y1 ) / ( x2 - x1 ), in this case where y2 ⇒ 1, y1 ⇒ 5, x2 ⇒ 2, and x1 ⇒ -2;
( 1 - 5 ) / ( 2 - ( - 2 ) ) ⇒ Simplify,
( - 4 ) / ( 4 ),
<em>Slope; - 1</em>
Now that we have the slope, let us substitute this known value into the point - slope equation in the following form;
y = a * x + b, where a ⇒ slope, and b ⇒ y - intercept,
( So far we have ) y = - x + b,
Let us solve for the value of b in y = - x + b by substituting one of the points, say ( 2 , 1 ) where x ⇒ 2, and y ⇒ 1;
( 1 ) = - ( 2 ) + b,
1 = - 2 + b,
b = 3;
<em>Equation; y = - x + 3</em>
