Answer:
f(x) = x^2 (x + 7i)(x - 7i)
Step-by-step explanation:
Factoring out x^2 gives ...
f(x) = x^2(x^2 +49)
The factor with 49 can be considered to be the difference of two squares, where one of the squares is -49. Then its square root is ±7i, and the factorization of that term is ...
x^2 +49 = (x +7i)(x -7i)
So, the overall factorization of f(x) is ...
f(x) = x^2(x +7i)(x -7i)
9514 1404 393
Answer:
- arc BC = 60°
- m∠ADC = 60°
- m∠AEB = 105°
- m∠ADP = 45°
- m∠P = 60°
Step-by-step explanation:
The sum of arcs of a circle is 360°. The given conditions tell us arc BC ≅ arc AB, so the four arcs of the circle have ratios ...
CB : BA : AD : DC = 2 : 2 : 3 : 5
The sum of ratio units is 2+2+3+5 = 12, so each one stands for 360°/12 = 30°. Then the arc lengths are ...
arc BC = arc BA = 60° . . . . 2 ratio units each
arc AD = 90° . . . . . . . . . . . . 3 ratio units
arc DC = 150° . . . . . . . . . . . .5 ratio units
The inscribed angles are half the measure of the intercepted arcs:
∠ADC = (1/2) arc AC = 1/2(120°) = 60°
∠ADP = 1/2 arc AD = 1/2(90°) = 45°
The angles at E are half the sum of the measures of the intercepted arcs.
∠AEB = (arc AB + arc CD)/2 = (60° +150°)/2 = 105°
Angle P is half the difference of the intercepted arcs.
∠P = (arc BD -arc AD)/2 = (210° -90°)/2 = 120°/2 = 60°
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In summary, ...
arc BC = 60°
m∠ADC = 60°
m∠AEB = 105°
m∠ADP = 45°
m∠P = 60°
Answer:
this is the formula u can use it on any Pythagoras theorm problem
This angle is in the third quadrant
tan theta = -4 / -3 = 4/3 answer (and theta = 233.13 degrees)
Answer:
1 sig figs = 1st number is a non zero number and all following numbers are zero (if no decimal point present)
if decimal point is present then it can be 0.x where the x can be any number but nothing can come after it
Step-by-step explanation:
