Answer:
put a point on the 9 (the line on the left of 10) and on the -6 (the line to the left of -5).
a. 9 is located to the right of -6
b. use the symbol >
Step-by-step explanation:
Answer:
about 32 books (rounded)
Step-by-step explanation:
1412/135=32
Answer:
1.3917
Step-by-step explanation:
logb 15 =
We know that log (ac) = log a + log c
logb 15 = logb (3*5)
= logb (3) + log b (5)
logb(3) = 0.5646 and logb(5) = 0.8271
= 0.5646 + 0.8271
1.3917
The equation ellipse in standard form is: (x-h)2a2+(y-k)2b2=1
Answer:
a) 7 + 5i
b) 1 + 24i
a) 34 + i
b) -156 + 12i
Step-by-step explanation:
a) (5 + 8i) + (2 - 3i)
Add real parts ⇒ 5 + 2 = 7
Add imaginary parts ⇒ 8i + -3i = 5i
∴ (5 + 8i) + (2 - 3I) = 7 + 5i
b) (-3 + 12i) + (4 + 12i)
Add real parts ⇒ -3 + 4 = 1
Add imaginary parts ⇒ 12i + 12i = 24i
∴ (-3 + 12i) + (4 + 12I) = 1 + 24i
Products:
a) (5 + 8i)(2 - 3i)
= 10 - 15i + 16i - 24i² ⇒ (i² = -1)
= 10 + i - 24(-1) = 10 + i + 24
= 34 + i
b) (-3 + 12i)(4 + 12i)
= -12 - 36i + 48i + 144i² ⇒ (i² = -1)
= -12 + 12i + 144(-1) = -12 + 12i - 144
= -156 + 12i