Point E is the correct answer! :D
Answer:Diameter
Step-by-step explanation:The diameter is how far away one point on a circle is from another point straight across on a circle.
Answer:
x³ - (√2)x² + 49x - 49√2
Step-by-step explanation:
If one root is -7i, another root must be 7i. You can't just have one root with i. The other roos is √2, so there are 3 roots.
x = -7i is one root,
(x + 7i) = 0 is the factor
x = 7i is one root
(x - 7i) = 0 is the factor
x = √2 is one root
(x - √2) = 0 is the factor
So the factors are...
(x + 7i)(x - 7i)(x - √2) = 0
Multiply these out to find the polynomial...
(x + 7i)(x - 7i) = x² + 7i - 7i - 49i²
Which simplifies to
x² - 49i² since i² = -1 , we have
x² - 49(-1)
x² + 49
Now we have...
(x² + 49)(x - √2) = 0
Now foil this out...
x²(x) - x²(-√2) + 49(x) + 49(-√2) = 0
x³ + (√2)x² + 49x - 49√2
Step-by-step explanation:
I think what is meant in the triangle ABC we have the three angles.
the sum of all angles in a triangle is airways 180 degrees.
so,
180 = A + B + C
180 = 42 + B + C
now, we know also that
B = 5×C
so, we can use that above
180 = 42 + 5×C + C
138 = 6×C
C = 138/6 = 23 degrees
B = 5×C = 5×23 = 115 degrees
