Answer:
x+6
Step-by-step explanation:
Hope this helped
Im not really sure if im right but i think the answer is 140-
Explanation:
I added 30+10 which equalled 40 and then i noticed the circle which would equal 360 and subtracted it from the 40 however that got me more then i needed since it wasnt one of the choices. Then i thought hmm maybe its a supplementary angle which usually equals 180 so i subtracted it from 40 which got me 140! Like i said i dont know if im right or not :(
Since you're studying this stuff, you know that
.. translation right by k units: f(x) ⇒ f(x-k)
.. translation up by k units: f(x) ⇒ f(x) +k
.. horizontal stretch by a factor of k: f(x) ⇒ f(x/k) . . . . same as compressed by 1/k
.. vertical stretch by a factor of k: f(x) ⇒ k*f(x)
.. reflection across the x-axis: f(x) ⇒ -f(x)
.. reflection across the y-axis: f(x) ⇒ f(-x)
The sequence in which these are done is important.
1. f(x) = (1/2)^x
.. translated 4 units right: f(x) = (1/2)^(x -4)
.. reflected across the x-axis: f(x) = -(1/2)^(x -4)
.. vertically stretched by a factor of 1.5: f(x = -1.5(1/2)^(x -4)
2. f(x) = ln(x)
.. translated 3 units left: f(x) = ln(x +3)
.. horizontally compressed by a factor of 1/4: f(x) = ln(x/4 +3)
.. translated down 0.5 units: f(x) = -0.5 +ln(x/4 +3)
3. f(x) = e^x
.. horizontally stretched by a factor of 3: f(x) = e^(x/3)
.. reflected across the y-axis: f(x) = e^(-x/3)
.. translated 1 unit right: f(x) = e^(-(x -1)/3)
There are two equation of the system
(1) The perimeter
2(w + l) = p
2(w + l) = 86
(2) The length and the width
2w = l + 2
From the second equation
2w = l + 2
l + 2 = 2w
l = 2w - 2
Subtitute l with 2w - 2 in the first equation to find the width
2(w + l) = 86
2(w + 2w - 2) = 86
2(3w - 2) = 86
6w - 4 = 86
6w = 90
w = 15
Now, find the length by subtituting w with 15
l = 2w - 2
l = 2(15) - 2
l = 30 - 2
l = 28
The dimension of the rectangle
length = 28 cm
width = 15 cm