Answer:
-2 - 24i
Step-by-step explanation:
a + bi + (7 - 3i) + (5 + 9i) + 13i = 10 - 5i
a + bi + <u>7 + 5</u> - 3i + 9i + 13i = 10 - 5i
a + bi + 12 + 19i = 10 - 5i
a + bi = 10 - 5i - 12 - 9i
a + bi = 10 - 12 - 5i - 9i
a + bi = -2 - 24i
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Given:
large cylinder: height = 3 ft ; diameter = 2 ft
cylinrical cup: height = 1/2 ft ; diameter = 1/4 ft
Volume of a cylinder = π r² h
large cylinder volume = 3.14 * (1ft)² * 3ft = 3.14 * 1ft² * 3ft = 9.42 ft³
cylindrical cup volume = 3.14 * (0.125ft)² * 1/2 ft = 3.14 * 0.015625ft² * 0.5ft = 0.0245 ft³
9.42 ft³ ÷ 0.0245ft³ = 384.489 cups
Answer:
Option B. 
Step-by-step explanation:
we have
solve for a
Applying logarithm neperian (ln) both sides
Remember that 
so
Because that point can be put in place of x and y of both lines. it means that it is the answer
