Do u have a problem that went with this?
Answer:
Step-by-step explanation:
Write a list of all possible outcomes
1-2
1-3
1-4
2-1
2-3
2-4
3-1
3-2
3-4
4-1
4-2
4-3
There are 12 possible outcomes. How many of them have totals of 6 or 7
I count 4
So the probability is 4/12 = 1/3, just as you said.
Is there an easier way?
You might be able to get the 12 easier.
You have 4 choices for the first number and 3 for the second.
P(12) = 4*3 = 12
Getting 6 or 7 might be somewhat trickier.
4 and 3 make seven. That gives two ways 4-3 and 3-4
4 and 2 make six. That gives 2 more ways 4-2 and 2-4
That's all that's possible.
answer: 4 ways make success. The total number of ways is 12.
Equation of a line that is perpendicular to given line is 
.
Equation of a line that is parallel to given line is 
.
Solution:
Given line 
.
Slope of this line, 
= 
Slope of perpendicular line, 
Passes through the point (–7, 5). Here 
.
Point-slope formula:
Subtract 7 from both sides, we get
Equation of a line that is perpendicular to given line is .
To find the parallel line:
Slopes of parallel lines are equal.
Passes through the point (–7, 5). Here .
Point-slope formula:
Subtract 7 from both sides,
Equation of a line that is parallel to given line is .
Area of the rectangular yard = 96 square feet
Let us assume the length of the yard = x feet
Width of the yard = x - 4 feet
Then
Area of the yard = length * width
96 = x(x - 4)
96 = x^2 - 4x
x^2 - 4x - 96 = 0
x^2 - 12x + 8x - 96 = 0
x(x - 12) +8(x - 12) = 0
(x - 12)(x + 8) = 0
As the value of length cannot be negative so
x - 12 = 0
x = 12
So
Length of the yard = 12 feet
Width of the yard = x - 4 feet
= 12 - 4 feet
= 8 feet
Then
Perimeter of the yard = 2 (length + width)
= 2(12 + 8)
= 2 * 20 feet
= 40 feet.
So the perimeter of the yard is 40 feet.
1 is 25
2 is 7.42
if you need explanation please comment and let me know
