Answer:
12
Step-by-step explanation:
5(x-6)=2(x+3)
multiply
5*x and 5*6. 2*x and 2*3
5x-30=2x+6
minus 5x and 2x
3x-30=6
add 30 to 6
3x=36
divide both sides by 3 and the 3x cancels so 36÷3
x=12
First, we calculate the amplitude
A = (1/2) (xmax - xmin)
A = (1/2) (8 - (-2)) = 5
Since we're given with the period which is pi, then the coefficient of x is just 1. So, the model is
y = 5 sin x
Answer:
x=5
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 = c^2
x^2+ ( 2x+2)^2 = (2x+3)^2
FOIL the squared terms
x^2 +(4x^2 + 4x+4x+4) = 4x^2 + 6x+6x +9
Combine like terms
5x^2+8x +4 = 4x^2 +12x +9
Subtract 4x^2 +12x +9 from each side
5x^2+8x +4 -4x^2 -12x -9= 4x^2 +12x +9-4x^2 -12x -9
x^2 -4x -5 =0
Factor
(x-5) (x+1) = 0
Using the zero product property
x=5 x=-1
But x cannot be negative or we would have negative length
x=5
Answer:
PQ=36
Step-by-step explanation:
o=114
PQ I named a because it was easier for me and SP I named b.
o=2(a+b)
114=2(3x+3+2x-1)
114=6x+6+4x-2
114=10x+4
10x=114-4
10x=110/:10
x=11
a=3*11+3
a=33+3
a=36
Divide 7 and 3/7 by 3 and 1/4
the answer is 2 and 2/7
