Answer:
(a) 1
(b) 1
(c) 3.03
Step-by-step explanation:
The given quadratic equation is
Subtract 27 from both sides.
Taking out common factor.
Divide both sides by 4.
If an expression is , then we need to add , to make it perfect square.
Here, b=2, so
Add 1 on both sides.
Taking square root on both sides.
Subtract 1 from both sides.
and
and
Only one solution is positive.
Greatest solution is 3.031, therefore the approximate value of this solution is 3.03.
Area of a circle is PI x r^2
The radius of the large circle is shown as 8 m
The diameter of A is the radius of the large circle which is 8 m so the radius would be 4 m
The radius of the small circle would be 2m
Area of large circle = pi x 8^2 = 64pi = 200.96 square m
Area of middle circle = pi x 4^2 = 16pi = 50.24 square m.
Area of small circle = pi x 2^2 = 4pi = 12.56 square m.
The area of the shaded region = large - middle + small
Area = 64pi - 16pi + 4pi = p2pi square m or 200.96 -50.24 + 12.56 = 163.28 square m.
Answer:
The system has no solution
Step-by-step explanation:
we have
y=5x+10 -----> equation C
The slope of the equation C is m=5 and the y-intercept is b=10
y=5x+2 -----> equation D
The slope of the equation C is m=5 and the y-intercept is b=2
Remember that
If two lines are parallel, then their slopes are the same
Equation C and equation D are parallel lines with different y-intercept
therefore
The system has no solution (the lines do not intersect)
Answer:
y=5p+5c
This is the answer i got from the context clues you provided
Answer:
x = 4
Step-by-step explanation:
8(x - 
) = 3x ← distribute the parenthesis by 8
8x - 20 = 3x ( subtract 3x from both sides )
5x - 20 = 0 ( add 20 to both sides )
5x = 20 ( divide both sides by 5 )
x = 4
