If you use the distributive property, you will multiply 4 by 2x to get 8x and 4 by -4 to get -16.
8x-16=8x+k
If you want infinitely many solutions the equations on both sides of the equal sign need to be the same. So, k would need to be -16.
Answer:
In order to find the slope, you need to find the difference in the x values and the difference in the y values. To do this, you write out y2-y1/x2-x1, insert your x and y values, and get your answer. Then, you find your y-intercept (where the x value is 0).
Answer:
The width of the floor is 10 ft.
Step-by-step explanation:
First, you have to form expressions of width and length in terms of w. With the given information :
width = w ft
length = (w - 2) ft
Given that the area of rectange is A = length × width so you have to subtitute the expressions and value into the formula :
A = l × w
80 = (w - 2) × w
w(w - 2) = 80
w² - 2w = 80
w² - 2w - 80 = 0
(w + 8)(w - 10) = 0
w + 8 = 0
w = -8 (rejected)
w - 10 = 0
w = 10
If you think about it, the question is asking us to find the greatest common factor, or GCF, of the two numbers, 24 and 18.
First, find all of the factors of 24.
The factors are: 1, 2, 3, 4, 6, 8, 12, 24
Next, find the factors of 18.
The factors are: 1, 2, 3, 6, 9, 18
List out all of the factors that both of the numbers have.
The factors are: 1, 2, 3, 6
Whichever is the greatest of these numbers is the GCF.
The GCF is 6, so the greatest number of groups he can make and still be able to win is 6.
Hope this helps!
Answer:
Size of |E n B| = 2
Size of |B| = 1
Step-by-step explanation:
<em>I'll assume both die are 6 sides</em>
Given
Blue die and Red Die
Required
Sizes of sets
- 
- 
The question stated the following;
B = Event that blue die comes up with 6
E = Event that both dice come even
So first; we'll list out the sample space of both events
Calculating the size of |E n B|
<em>The size = 3 because it contains 3 possible outcomes</em>
Calculating the size of |B|
<em>The size = 1 because it contains 1 possible outcome</em>
