Answer:
x^2 - 4x + 29 = 0
Step-by-step explanation:
Complex roots occur as conjugate pairs.
So the other root will be 2 - 5i.
First write the equation it in factor form:-
(x - (2 + 5i)) (x - (2 - 5i) = 0
(x - 2 - 5i)(x - 2 + 5i) = 0 Now expand:-
x^2 - 2x + 5ix - 2x + 4 - 10i - 5ix + 10i - 25i^2 = 0
x^2 -2x - 2x + 4 - 25*-1 = 0
x^2 - 4x + 29 = 0 (answer)
Answer:
7: B, 8: A
Step-by-step explanation:
7. The domain of a function is the set of all of the values of x that are in it. In this case, we are given a series of points, so the domain of the function will be the set of x-coordinates of the points. The x-coordinate of a point is the first coordinate in the ordered pair representing the point. For example, in (0, 1), the x-coordinate is 0.
Applying that here, the x-coordinates of the points are 8, 5, 9, and 6, or 5, 6, 8, 9 in ascending order. Therefore, the domain of the function is {5, 6, 8, 9}, or option B.
8. In a system of coordinates, an abscissa is simply an x-coordinate (option A). For example, in our previous example point, (0, 1), the abscissa would be 0, because the point's x-coordinate is 0. Hope this helps!
Answer:
the answer is A
Step-by-step explanation:
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Step-by-step explanation:
In given, it's said that D is a midpoint, which mean DP == AD, DP is the same as DP because isosceles triangle properties said that two-length are equal when their base angle are equal. In a right triangle, the midpoint D, draws a line to the "90 degree" angle is always a isosceles