Answer would be D You can have a rational discriminant for an irrational root, but you can also have rational discriminant for a rational root. So C is partially correct.
<span>All prime discriminants will result in an irrational root, but not all irrational roots have prime discriminants </span>
Answer:
<h3><em>
(12, -6)</em></h3>
Step-by-step explanation:
The formula for calculating the midpoint of two coordinates is expressed as shown;
M(X, Y) = [(x1+x2)/2, (y1+y2)/2]
Given the midpoint of ST to be ((6, -2) and one endpoint T is (0,2), according to expression above;
X = (x1+x2)/2
Y = (y1+y2)/2
From the coordinates, X = 6, Y = -2, x1 = 0 and y1 = 2, to get x2 and y2;
X = (x1+x2)/2
6 = (0+x2)/2
cross multiply
12 = 0+x2
x2 = 12-0
x2 = 12
For 2;
Y = (y1+y2)/2
-2 = (2+y2)/2
cross multiply
-4 = 2+y2
y2 = -4-2
y2 = -6
<em>Hence the other endpoint S(x2, y2) is (12, -6)</em>
<em></em>
Answer:
B)
Step-by-step explanation:
If two square matrix, with same dimensions, are inverse of one another, their product will always be the identity matrix with the same dimensions.
The matrix A and B are 2x2, so the result of the product A * B is a 2x2 identity matrix, that is represented as follows:
I = [1 0 ; 0 1]
(First line: 1 0, second line: 0 1)
So the correct option is B)
9514 1404 393
Answer:
D B E C A
Step-by-step explanation:
The volume of a rectangular prism (cuboid) can be figured from its dimensions, or from the base area and height:
V = LWH . . . . . volume is the product of length, width, height
V = Bh . . . . . . . volume is the product of base area and height
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Hopefully, you recognize that these are basically the same formula, since the base area is the product of length and width.
For the given figures, the volumes are ...
A = (1/2 m)(1/4 m)(1/4 m) = 1/32m³
B = (32 m²)(7.25 m) = 232 m³
C = (1/2 m)(1/2 m)(1/4 m) = 1/16 m³
D = (3 1/2 m)(8 1/2 m)(9 3/4 m) = 290 1/16 m³
E = (26 1/3 m²)(5 m) = 131 2/3 m³
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The volumes from greatest to least are ...
D B E C A
There is no im.age below .
