Hey!
So you have a net of the figure. It's broken into several 2D shapes. What you an do it find the area of each shape and add it together.
Triangles:
A = (b*h)/2
A= (5 * 3) / 2
A = 15/2
same thing for the second one
15/2 * 2 = 15
Don't forget, there are 2 triangles so it's really 15 for both
Rectangles:
A=b*h
A= 7*5
A=35
A=7*5
A=35
A=3*7
A=21
35+35+21=91
Now add the sum of the area of the triangles and the sum of the area of the rectangles
91+15 = 106
106 is the surface area
Hope this helps!
Answer:
12 and 13
Step-by-step explanation:
(a)
To evaluate f(g(2)), evaluate g(2) then use the value obtained to evaluate f(x)
g(2) = 2(2) - 1 = 4 - 1 = 3, then
f(3) = 3² + 3 = 9 + 3 = 12
--------------------------------------------
(b)
To evaluate g(f(2)), evaluate f(2) the use the value obtained to evaluate g(x)
f(2) = 2² + 3 = 4 + 3 = 7, then
g(7) = 2(7) - 1 = 14 - 1 = 13
Since we will be completing the square we need to isolate the x
y-5 = 2x^2 -4x
now we the coefficient of the x^2 to equal 1 so we take 2 as common factor
y-5 = 2(x^2 -2x)
now we'll make it perfect square by adding 2 to both sides
y-5+2=2(x^2-2x+1)
now simplify and convert the right side to squared expression
y-3 = 2(x-1)^2
now isolate the y
y = 2(x-1)^2 +3 that's it
Answer:
There are 30 blue berries
Step-by-step explanation:
1:7
_:210
210/7
30
Answer:
y=1/2x
Step-by-step explanation:
if a linear equation has a parallel function then it's going to have to be the same slope as the equation. ie
y=2x+3
and
y=2x-2
are paralell
