We are to select 2 people to sit in first row from 6.
This is a problem of Combinations. We are find permutation of 6 people taken 2 at a time. This can be represented as 6C2.
So, the answer is option B
Answer:
The equation of the line is;
3y = 2x-8
Step-by-step explanation:
Firstly, we need the to get the slope of the given line
To do this, we will write the equation of the line in the standard form
the standard form
is;
y = mx + b
where m is the slope and b is the y-intercept
y -4 = 2/3(x-3)
y -4 = 2x/3 - 2
y = 2x/3 -2 + 4
y = 2x/3 + 2
with respect to the given equation, the slope of the line is 2/3
Mathematically, when two lines are parallel, the slopes of the line are equal
So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)
so;
y = 2x/3 + b
So substitute the values of (1,-2)
1 for x and -2 for y
-2 = 2/3(1) + b
-2 = 2/3 + b
b = -2 - 2/3
b = (-6-2)/3 = -8/3
So the equation of that line is;
y = 2/3x - 8/3
Multiply through by 3
3y = 2x - 8
Answer:
The height of wall is 3 feet and length of wall is 5 feet
Step-by-step explanation:
Given as :
The Area of retaining wall = 15 square feet
Let The width of wall = W feet
The Height of wall = ( W - 2 ) feet
Now, Area of Rectangle = Height width
Or , 15 ft² = ( W - 2 ) ft × W ft
Or, 15 = W² - 2 W
Or, W² - 2 W - 15 = 0
Or, W² - 5 W + 3 W - 15 = 0
Or, W ( W - 5 ) + 3 ( W - 5 ) = 0
So , ( W - 5 ) ( W + 3 ) = 0
So, W = 5 , - 3
∴ The width of wall = W = 5 feet
And The Height of wall = ( W - 2 ) = 5 - 2 = 3 feet
Hence The height of wall is 3 feet and length of wall is 5 feet. Answer
Answer: Simplified Equation (10x-10)
Answer if 3=x is 20
Step-by-step explanation:
the original side lengths are 3x and (2x-5) so multiply both those by 2.
Now you have 6x and 4x-10.
Now combine those and you have 10x-10.
Then plug in 3 for x
