Answer:
x² + 16x + 64
Step-by-step explanation:
To find f(g(x)) , substitute x = g(x) into f(x), that is
f(x + 7)
= (x + 7)² + 2(x + 7) + 1 ← expand (x + 7)² using FOIL
= x² + 14x + 49 + 2x + 14 + 1 ← collect like terms
= x² + 16x + 64
Answer:
x = 90, y = 43
Step-by-step explanation:
By the SAS theorem (as you can tell by the picture) angles B and C are similar, which means they are both 47 degrees.
Since the triangles are similar (SAS theorem) then angle x must be equal to 90 degrees, because they are on a straight line both angles would need to add up to 180 degrees.
Now that you have two angles out of three, you can solve for the last angle by setting up this equation:
B + D + A = 180
47 + 90 + A = 180
Add 47 and 90 together.
137 + A = 180
Subtract 137 from both sides.
A = 43
x = D and y = A, therefore x = 90 and y = 43.
Answer:0.15d+30<_100
Step-by-step explanation:
Derivitive of cosx=-sinx
dy/dx sinx=cosx
and use chain rue
2cosx=-2sinx
2cos2x=-4sin2x
so
-2sinx-4sin2x id the deritivitve
To find percent, you take 91 and divide it by 99.2 then multiply by 100.
(91/99.2) × 100 = 91.92%
