This is a basic algebraic fraction question
Step 1: Factor n2-9
Step 2: Rewrite the second fraction
Step 3: Write all the numerators under the least common denominator
Step 4: Expand bracket
Step 5: Collect like terms
STEP 1
Equation at the end of step
((14 • (x2)) - 7xy) - (3•72y2)
Equation at the end of step 2
((2•7x2) - 7xy) - (3•72y2)
STEP 3
STEP 4
Pulling out like terms
4.1 Pull out like factors :
14x2 - 7xy - 147y2 = 7 • (2x2 - xy - 21y2)
Trying to factor a multi variable polynomial :
4.2 Factoring 2x2 - xy - 21y2
Try to factor this multi-variable trinomial using trial and error
Found a factorization : (2x - 7y)•(x + 3y)
Answer:
Sample space: {B, G, R, W, Y}
20%
40%
Step-by-step explanation:
Theoretical probability of blue:
1/5 × 100 = 20%
Experimental probability (based on observation) of yellow or white:
(20+12)/80 × 100
32/80 × 100
40%
Answer:
(a) 6.01 (b) 57.33
Step-by-step explanation:
(a) DF² = 10² + 12² - 2 · 10 · 12 · cos(30°)
=> DF² = 244 - 240 · cos(30°)
=> DF² = 36.154
=> DF = √36.154
=> DF ≈ 6.01
(b)
=> sin (B) = sin (63) × 12.4 ÷ 12.8
=> B = sin^-1 (sin (63) × 12.4 ÷ 12.8)
=> B = 59.67355245
180 - 63 - 59.67355245 ≈ 57.33
Law of cosines & sines: