Get the x terms by themselves on one side and a constant on the other side of the equal sign...
4x^2-8x=1 make the leading coefficient equal to one...
x^2-2x=1/4 now halve the linear coefficient, -2 in this case, square it, and add that value to both sides of the equation...-2/2=-1, -1^2=1 so
x^2-2x+1=1+1/4
x^2-2x+1=5/4 now the left side is a perfect square...
(x-1)^2=5/4 take the square root of both sides...
x-1=±√(5/4) add 1 to both sides
x=1±√(5/4)
Answer:
so basically
the area of the square; (5cm)^2 = 25cm^5
the area of the triangle; (4cm.5cm)/2 = 10cm^2
which means that r = √25cm^2/10cm^2 = √25/10 cm^2 or √10/25 cm^2
english is not my first language so i do not know what combined means but if u explain a little more i will try to help u
-> ok edit edit;
1cm/5in. = r
5cm => 25in.
z^2= area of a square so
25in.25in= 625 in^2
4cm => 20in.
5cm => 25in.
h.b/2 = area of a triangle so
20in.25in./2 = 250in.^2
250in.^2 + 625in.^2 = 875in.^2
so answer B
Answer:
f(x) = -(x-4)² + 5
Step-by-step explanation:
f(x) = -(x-4)² + 5
Has a maximum vertex at (4,5)
Which means the function has a greatest value of 5 at x = 4
Therefore the range is:
y《5
Area of a triangle is base × height ÷2
base=8x+4 x=-4/8 x=-1/2
height=3x-4 x=4/3
A=b×h÷2
A=(-1/2×4/3)÷2
A=(-4/6)÷2
A=(-4/6)÷2/1 to divide by fractions flip the second and multiply
A=-4/6×1/2
A=-4/12
A=-1/3