Answer:
J. The equation has one real solution and two complex solutions.
Step-by-step explanation:
Complex solutions come in pairs, so there can only be an even number of them. So we can rule out G, H, and K.
To find the other roots, we can factor using either long division or grouping. To use long division, see the attached picture. To use grouping:
3x³ − 4x² + x − 10 = 0
3x³ − 6x² + 2x² + x − 10 = 0
3x² (x − 2) + (2x + 5) (x − 2) = 0
(x − 2) (3x² + 2x + 5) = 0
The other factor is 3x² + 2x + 5. The discriminant of this is (2)² − 4(3)(5) = -56. Since the discriminant is negative, the roots are complex.
Answer:
Step-by-step explanation:
AT first, draw the reference line, which are given. If I take PQ as base, I won't need to draw PQ line as reference.
I took PQ(5.5cm) as base. Then, take 4.8cm in your compass by centering at point Q. Draw an arc. Then take 4.2 cm in your compass from the reference line which you have drawn and then centre at point P and draw an arc. Both the arcs will meet at one point. Then join the lines to form the Triangle PQR
Answer:
120 cubic feet
Step-by-step explanation:
The formula for volume = length x width x height. Therefore, in order to get the volume you multiply 5 , 8 and 3, and when you multiply all three you get 120 inches cubic feet.
Answer:
Step-by-step explanation:
Area formula
Given
Then the area is:
- A = 1/2(53)(50) = 1325 yd²