2 years ago

Solve j ÷ 3 1/2 for j= 9/10A) 4 1/5B) 3 3/10C) 9/35

Mathematics

1 answer:

emmasim [6.3K]2 years ago

5 0

The answer is C) 9/35.

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A pair of numbers that can be used to locate a point on a coordinate plain

Blizzard [7]

Answer:

(5,2)

Step-by-step explanation:

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2 years ago

A sheet of metal is 9 inches longer than it is wide, and its total area is 252 square inches. Find the dimensions of the sheet o

erastova [34]

(9+w)w=252 or w(w+9)=252.
The quadratic equation applies: w²+9w-252=0=(w+21)(w-12), so w=12, because a negative zero is meaningless.
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2 years ago

2. Describe how to use the conjugate to divide 2 − i by 3 + 2i, and then find the quotient.

DaniilM [7]

Answer:

$\frac{4}{13}-\frac{7}{13}i$

Step-by-step explanation:

$\frac{2-i}{3+2i}$

Multiply and divide by the conjugate.

The conjugate is the denominator with the sign of the complex number the opposite of the denominator.

$\frac{2-i}{3+2i}\frac{3-2i}{3-2i}\\ =\frac{2\times (3-2i)-i\times (3-2i)}{3^2-(2i)^2}\\ =\frac{6-4i-3i+2i^2}{9+4}\\ =\frac{4-7i}{13}\\ =\frac{4}{13}-\frac{7}{13}i$