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2 years ago

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For what value of "a" will the product shown below have a purely imaginary value? (Show work please)

1 answer:

MakcuM [25]2 years ago

5 0

If you expand out the brackets you get this,

(4+5i)(a+2i) = 4a + (5a)i + 8i - 10

The -10 comes from 5i * 2i.
Squaring i becomes -1.

Let's group the real stuff together,
and imaginary separately,

(4a - 10) + (5a + 8)i

For this to be purely imaginary,
the real part needs to be zero.

Therefore 4a - 10 = 0

Solve for a.

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Haley pays a monthly fee of $20 for her cell phone and then pays 5 cents per minute used. The cost of Haley’s cell phone bill ca

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2 years ago

Read 2 more answers

A football quarterback goes for a two-point conversion when the ball is within 10 yards of the end zone. During the game, he has

Crank

Answer:

$P=0.075$ , $P=7.5\%$

Step-by-step explanation:

We look for the probability that the player fails the first attempt and also fails the second attempt.

We know that the probability that the quarterback fails the first attempt is:

$P(1) = 0.5$

We know that the probability that the quarterback fails the second attempt after failing the first is:

$P(2|1) = 0.15$

Then the probability of failure of both attempts is:

$P(2|1)=\frac{P(1\ and\ 2)}{P(1)}$

$P(1\ and\ 2)=P(1)*P(2|1)$

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2 years ago

A company produces canned tomatoes. They want the height h of each can to be twice the diameter d. Enter an equation for the sur

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Answer:

The equation is:

(2×π×r×4r)+(2×π×r^2)= A

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Step-by-step explanation:

Please see the attached files for explanation

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2 years ago

RESTAURANTS In 2012, a popular pizza franchise had 2483 restaurants. In 2017, there were 2606 franchised

lisabon 2012 [21]

y - 2483 = 24.6(x - 2)

Let x represent the number of years after 2010

Let y represents the number of restaurants in x years

2012 is 2 years after 2010

2017 is 7 years after 2010

Number of restaurants owned by RESTAURANTS in 2012 = 2483

This can be represented in coordinate form as (2, 2483)

Number of restaurants owned by RESTAURANTS in 2017 = 2606

This can be represented in coordinate form as (7, 2606)

The equation of a line in point-slope form is:

$y-y_{1} = m(x - x_{1} )$

where m represents this slope, and is calculated as:

$m = \frac{y_{2} - y_{1} }{x_2-x_1} \\m = \frac{2606-2483}{7-2} \\m = \frac{123}{5} \\m = 24.6$

Substitute x₁ = 2, y₁ = 2483, and m = 24.6 into the point-slope equation

The equation in point-slope form becomes:

y - 2483 = 24.6(x - 2)

Learn more here: brainly.com/question/6497976

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2 years ago