perimeter will be multiplied by 3.5 28 x 3.5 = ........
Area will be enalarged by 3.5 x 3.5 3.52 x (6*8) = .....
Distance to tower from building tan 45 = d/7 solve for d = 7 m
Distance to top of tower from 7 m up tan 60 = h/7 h = 12.12 m
add h + the 7 m = height = 19.12 m
x = 3 , -3 ( you would THINK x = 2 would work, but 2 >= -4 so f(2) = 22-4=0 )
so f(x) has to equal 3 or -3
x^2-4 = 3 then x = +-sqrt7
x^2-4 = -3 then x = +- 1 4 answers I believe........ edited
What do you want to do with this expression?
small top 4x20 cm2
large top 10x20
bottom 14 x20
back (8+2) x 20
Front (2+8) x 20
Sides (two) 2 * [ 2x14 + (8x4) ]
Add 'em all together......
The axis of symmetry is the 'x' value of the vertex, which can be found by x = -b / 2a where a = -5 b=30
or you can find the two zeroes of the equation.....the axis of summetry is exactly between the zeroes.
37 is to 37 sqrt3 as 37 sqrt3 is to x
37 / 37 sqrt3 = 37 sqrt3 / x solve for 'x'
Use cosine rule
a^2 + b^2 - 2ab cos = c^2
32 + 72 - 2 (3)(7) cos A = 5^2 solve for cos A
The arc cos
2x + 6y = 7 divide this equation by 2
x + 3y = 3.5 now you can see A = 1 B = 3.5
It is everything BELOW and INCLUDING the line...so it is a <= which rules out the first two choices
it includes the line so the last choice is rules out ....leaving only the third choice