Notice that x+4 is one of the denominators, and that x(x+4) is the LCD.
x
Thus, mult. ------- by x(x+4), obtaining x^2.
x+4
Next, mult. [ 1/x + 1/(x+4) by x(x+4), obtaining x+4 + x = 2x+4 or 2(x+4)
x^2
Then the simplified fraction becomes ----------
2(x+4)
Generally Brainly allows you to post only 1 or 2 questions at a time. I will do #15 as a courtesy to you, but want you to try #16 yourself (or to post it separately).
-4, 2, 8, 14, ... is an arithm. seq. Every new term is equal to the previous term, plus 6: -4+6 = 2; 2+6=8, and so on. Thus: first term is a = -4; common difference is d = 6
a(50) = a(1) + (50-1)(6), or a(50) = -4 + (49)(6) = 290 (answer)
Answer:
C' (-4 , 2)
slope of new line = line "L" = -2
Step-by-step explanation:
C (x₀,y₀): (0,2) dilation center (h,k): (2,2) scale factor (sf): 3
C' (x,y)
x = 2 + 3*(0-2) = -4 x = h + sf*(x₀ - h)
y = 2 + 3*(2-2) = 2 y = k + sf*(y₀ - k)
C' (-4 , 2)
slope of new line = line "L" = -2
Approving declarations of war
Approving embargos
Approving alliances
but most of this is done by the senate not House of Reps
Answer:
He stepped back 59.71 feet.
Step-by-step explanation:
Start by making 2 triangles. One has 68 degrees as the acute angle at the base of the triangle and the other has 41 degrees as the acute angle at the base of the triangle. The side opposite of said angle on both triangles will be 80, the height of the tree. You're solving for the bottom (horizontal) side for both triangles.
For the triangle with an acute base angle of 68, the formula to solve for the horizontal side is tan(68) = 80/x.
Get x by itself to get 80/tan(68) = x
x = 32.32.
For the next triangle, the equation is the same but the angle is changed to 41.
tan(41) = 80/x
80/tan(41) = x
x = 92.03
Finally, subtract the smaller distance from the larger:
92.03 - 32.32 = 59.71 steps.