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2 years ago

Simplify the expression to a + bi'form: (1 - 5i)(5 +6i)

Mathematics

2 answers:

lions [1.4K]2 years ago

7 0

$(1 - 5i)(5 + 6i) \\ = 5 + 6i - 25i - 30 {i}^{2} \\ = 5 - 19i + 30 \\ = 35 - 19i$

I hope I helped you^_^

Nady [450]2 years ago

5 0

Answer:

35-19i

Step-by-step explanation:

(1-5i)(5+6i)

5-25i+6i-30i^2 where i^2=-1

5-25i+6i-30(-1)

5-19i+30

5+30-19i

35-19i

Please mark me as Brainliest if you are satisfied with the answer.

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3 years ago

Read 2 more answers

The perimeter of a rectangular field is 372 yards. If the width of the field is 87 yards, what is its length?__yards

worty [1.4K]

ANSWER

The length of the rectangular field is 99 yards

EXPLANATION

Given information

The perimeter of a rectangle field is 372 yards

The width of the field is 87 yards

To find the length of the rectangular field, follow the steps below

Step 1: Write the formula for finding the perimeter of a rectangular field

$\begin{gathered} \text{ The perimeter of a rectangular field = 2\lparen l + w\rparen} \\ \text{ where l =length, and w = width} \end{gathered}$

Step 2: Substitute the given data into the formula in step 1

$\begin{gathered} \text{ Perimeter = 2 \lparen l + w\rparen} \\ \text{ Perimeter = 372 yards} \\ \text{ width = 87 yards} \\ \text{ 372 = 2\lparen l + 87\rparen} \\ \text{ Divide both sides by 2} \\ \text{ }\frac{372}{2}\text{ = }\frac{2}{2}(l\text{ + 87\rparen} \\ 186\text{ = l + 87} \\ \text{ subtract 87 from each sides of the equation} \\ \text{ 186 - 87 = l + 87 - 87} \\ \text{ 99 = l} \\ l\text{ = 99 yards} \end{gathered}$

Hence, the length of the rectangular field is 99 yards

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