-5x = x + 6(1-x)
-5x = x + 6(1) + 6(-x)
-5x = x + 6 -6x
-5x = x - 6x + 6
-5x = -5x + 6
-5x + 5x = 6
0 = 6 Not equal. No solution.
(2x-5)² = (2x-1)(2x+1) -10(2x-1)
(2x-5)(2x-5) = (2x-1)(2x+1) - 20x + 10
2x(2x-5)-5(2x-5) = 2x(2x+1)-1(2x+1) - 20x + 10
4x² - 10x -10x + 25 = 4x² + 2x - 2x -1 - 20x + 10
4x² - 20x + 25 = 4x² - 20x - 1 + 10
4x² - 20x + 25 = 4x² - 20x - 9
Not equal. No solution.
The square would be 100.
The semicircle you will use the formula πr^2/2.
That would mean you would take the 3.14x5^2/2.
(3.14x5x5)/2
(3.14x25)/2
78.5/2
=39.25
So the total area would be 139.25
Answer:
The correct answer is s³/6
Step-by-step explanation:
<u>Points to remember</u>
Volume of pyramid = (a²h)/3
Where a - side of base
h - height of pyramid
It is given that, a pyramid has a square base with sides of length s the height of The pyramid is equal to 1/2 Of the length of a side on the base
<u>To find the formula:-</u>
Here side length a = s and
height h = 1/2(s) = s/2
Volume = (a²h)/3
= (s² * s/2)/3
= s³/6
The correct answer is s³/6
Answer:
2
Step-by-step explanation:
Let's solve the given system of equations.
<u>Given system</u>
x +3y= 10 ----(1)
-2x -2y= 4 ----(2)
From (2):
-2(x +y)= 4
Dividing both sides by -2:
x +y= -2 ----(2)
Thus, options 3 and 4 are incorrect as x +y≠ -2.
(1) -(2):
(x +3y) -(x +y)= 10 -(-2)
Expand:
x +3y -x -y= 10 +2
2y= 12
Divide both sides by 2:
y= 12 ÷2
y= 6
Substitute y= 6 into (2):
x +6= -2
x= -6 -2
x= -8
Options (1) and (2) differs only by the value of the expression of -x +y. Thus, let's find its value in the given system of equations.
-x +y
= -(-8) +6
= 8 +6
= 14
Thus, option 2 is the correct option.
Answer:
3 people attended the banquet
Step-by-step explanation:
The function is given as:
b = 75 + 15n where
b represents the total = 122
n represents the number of people attending = ??
If the total cost of the banquet is 122, how many people attended the banquet?
Hence,
122 = 75 + 15n
122 - 75 = 15n
47 = 15n
Divide both sides by 15
n = 47/15
n = 3.1333333333
Approximately to the nearest whole number = 3
Therefore, 3 people attended the banquet.
