Step-by-step explanation:
draw the net
there are 3 squares, each with a L = 5m and W = 1.5 +1.5m
2 triangles with a base of 1.5 + 1.5 and a height of 2.6m
Area of a rectangle = L x W
" " Triangle = 0.5 x b x h
so youd write and solve 3 rectangles x ( 5 m x 1.5 + 1.5) + 2 triangles x (0.5 x (1.5 +1.5) x 2.6m)
also look up the equation for surface area for this shape. Should give you the same thing. This method makes it more intuitive
Since s and t are complimentary, that means ∠s + ∠t = 90
From the picture, we also know that ∠t + ∠LGM = 90
Set them equal to each other:
∠s + ∠t = ∠t + ∠LGM, solve:
∠s = ∠LGM
Now using the fact that tangent = opposite/adjacent:
tan (∠s) = 
tan (∠s) = 
Set them equal to each other to get:
=
Solve:
Part B:
Using tan (∠s) =
We get: 
meters
Hope that helps!
All we need is to put this form in the vertex form f(x) = (ax+b)^2 + c
So we have <span>f (x)= 3x^2+12x+11 ....
Let's complete the square (if you aware of it)
</span><span>
f(x)= 3x^2+12x+11 = 3(x^2+4x)+11 = 3(x^2+4x+4-4)+11
=</span><span> 3([x^2+4x+4]-4)+11 = 3[(x+2)^2-4]+11 =3</span><span>(x+2)^2 - 12 +11 = 3</span><span><span>(x+2)^2 -1
so our form would be:
Here is a parabola with vertex of (-2,-1) and with positive </span> slope (concave up)
</span>
I hope that
helps!
Point-slope form:
y - y₁ = m(x - x₁) "m" is the slope
Since you know:
m = -2/5
(x₁ , y₁) = (-3, -5)
Plug it into the equation:
y - y₁ = m(x - x₁)
y - (-5) = -2/5(x - (-3))
y + 5 = -2/5(x + 3)
Is there supposed to be a question/picture? If not:
Jimmy makes x dollars every week
For every x dollars jimmy makes, sally makes 1.3 dollars
How much money does sally make every week
