Answer: B
<u>Step-by-step explanation:</u>
x³ - 3x² + 16x - 48 = 0
→ x²(x - 3) + 16(x - 3) = 0
→ (x² + 16) (x - 3) = 0
→ (x² - (-16)) (x - 3) = 0
→ (x - 4i)(x + 4i)(x - 3) = 0
→ x - 4i = 0 x + 4i = 0 x - 3 = 0
→ x = 4i x = -4i x = 3
2 imaginary roots and 1 real root
Answer: Triangle ABC and Triangle ECD
Step-by-step explanation:
In Triangle ABC and Triangle ECD
BD=CD and AD=ED [given in the figure]
∠BDA=∠EDC [Vertically opposite angles are equal]
⇒ΔABC ≅ ΔECD [By SAS postulate]
SAS postulate or Side Angle Side postulate tells that if two sides and their included angle of one triangle are congruent to two sides and the included angle of another triangle, then the two triangles are congruent.
Answer:
14
Step-by-step explanation:
4+4=8 8+6=14 all u had to do is add
116875 = (x / 100) * 125000
116875 = x * 125000 / 100
116875 = 1250x (The zeros get cancelled)
Therefore, x = 116875/1250 = 187/2 = 93.5%
Answer: 9 tilapia
Step-by-step explanation:
The ratio of 6:20 for tilapia to catfish means that for every six tilapia, there are 20 catfish in the pond.
If there are 30 catfish, use direct proportion to find out the number of tilapia:
6 : 20
x : 30
Cross multiply:
20x = 180
x = 180 / 20
x = 9 tilapia
