Step-by-step explanation:
factor 4 out of the variable terms, as this helps.
but my approach is simply to define the target and then calculate "backwards".
we want to find
(ax + b)² = a²x² + 2abx + b²
and now we compare with the original equation :
a²x² = 4x²
a² = 4
a = 2
2abx = 16x
2×2×bx = 16x
4b = 16
b = 4
b² = 16, but we have only 3, so we need to subtract 16-3 = 13 from the completed square.
so, our equation is
(2x + 4)² - 13 = 0
(2x + 4)² = 13
2x + 4 = sqrt(13)
2x = sqrt(13) - 4
x = sqrt(13)/2 - 2
Answer:
444
Step-by-step explanation:
13 + 34 + 25 + 10 + 8 = 90
10/90 * 4000 = 444
Answer:
The answer to your question is below
Step-by-step explanation:
43.-
x =
x =
x = 29.42
44.-
x =
x =
x = 13.49
45.-
cos x =
cos x = 0.7166
x = 44.22°
46.-
x =
x =
x = 17.34
47.-
cos P =
cos P = 0.888
P = 27.36°
sinR/13 = sinP/6
sin R = 13sin27.36/6
sinR = 0.996
R = 84.71°
Q = 180 - 84.71 - 27.36
Q = 67.93°
48.-
D = 180 - 25 - 113
D = 42°
CD = 9Sin113/sin42
CD = 12.38
ED = 9sin25/sin42
ED = 5.68
Answer:
20(pi)
Step-by-step explanation:
• equation for the circumference of a circle= 2(pi)r
• You are given the diameter ( 20ft) but you need the radius (r) for the equation.
• divide 20 by 2 to get the radius since it is half of the diameter.
• 20/2=10 so c= 2(pi)(10)
• 2(10)=20
• plug in pi and your final answer is 20(pi)