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3 years ago

Show all work to multiply (2+√-25)(4-√-100)

Mathematics

1 answer:

ki77a [65]3 years ago

7 0

Answer:

Step-by-step explanation:

given the expression;

(2+√-25)(4-√-100)

Note that √-25 = √-1 * √25

√-100 = √-1 * √100

According to complex number, √-1 = i

√-25 = 5i

√-100 = 10i

The expression becomes

(2+5i)(4-10i)

Open the parentehsis;

= 2(4)-20i+20i-50i²

= 8-50i²

Since i² = -1

The expression becomes;

8-50i² = 8-50(-1)²

8-50i² = 8-50 = -42

Hence the product of the expression is -42

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If a/4 = 9/a, then<br> a²=36<br> 4a = 9a<br> a + 4 = 9 + a<br> a - 4 = 9 - a

Anna [14]

Answer:

Option A is correct.

The given expression : $\frac{a}{4} = \frac{9}{a}$ then;

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Step-by-step explanation:

Given the expression: $\frac{a}{4} = \frac{9}{a}$

Cross multiplication the given expression following steps are as follow;

Multiply numerator of the left-hand fraction by the denominator of the right-hand fraction

Also, Multiply numerator of the right-hand fraction by the denominator of the left-hand fraction.

then, set the two products equal to each other.

Using cross multiplication, on the given expression;

$\frac{a}{4} = \frac{9}{a}$

First multiply the numerator of the left hand fraction(i.e,a ) by the denominator of the right hand fraction (i,e a)

we have;

$\frac{a \times a}{4} = 9$

Simplify:

$\frac{a^2}{4} =9$ [1]

now, multiply numerator of the right-hand fraction( i.e, 9) by the denominator of the left-hand fraction (i.e, 4 ) in [1]

we have;

$a^2 = 9\times 4$

Simplify:

$a^2 = 36$

Therefore, the given expression is equal to: $a^2 = 36$

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