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4 years ago

The roots of a given function are 4i and 8. how many total roots are there?

1 answer:

5 0

The presence of an imaginary root (such as 4i) requires the presence of the complement of that root (which is -4i). Thus, there are 3 roots total here.

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A teacher gives a 20 point quiz 210 students the scores are listed below what percentile corresponds to the score of 45

Veseljchak [2.6K]

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4 0

3 years ago

Jayanti takes shortest route to her home by walking diagonally across a rectangular park. The park measures 60 meters ×80 meters

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Answer:

The route across the park is 40 meter shorter than the route around its edges.

Step-by-step explanation:

We have to calculate the distance for both routes

As the route around the edges is straight, we have to find the sum of length of both edges

Let $R_E$ be the distance of route around edges

$R_E = 80+60 = 140\ meters$

Now we know that a diagonal divides a rectangle in two right angled triangles in which the diagonal is the hypotenuse.

We can use Pythagoras theorem to find the length of the diagonal

So,

$H^2 = P^2 + B^2$

In the given scenario

P = 60

B = 80

Now

$H^2 = (60)^2 + (80)^2\\H^2 = 3600+6400\\H^2 = 10000\\\sqrt{H^2} = \sqrt{10000}\\H = 100\ meters$

In order to calculate that how much shorter is the path across the park, we have to subtract the distance across park from the distance across edges.

$= 140-100 = 40\ meters$

Hence,

The route across the park is 40 meter shorter than the route around its edges.

7 0

3 years ago

If a female is 5ft even has 8 oz of 80 proof liquor over hours, will it be out of her system and blood a 000 on a breathalyzer 1

den301095 [7]

Answer:No

Step-by-step explanation:

4 0

4 years ago

Given the system of inequalities:

Margaret [11]

Answer:
First inequality: y > $\frac{4}{5} x - \frac{1}{5}$
Second inequality: y < 3 + x

Explanation:
The inequality in slope-intercept form has the following general formula:
y < mx + c or y > mx + c (according to the given sign)
where m is the slope and c is the y-intercept

This means that to get any inequality in slope-intercept form, we will have to isolate the y on one side of the inequality.

First given inequality:
4x - 5y < 1
4x - 5y + 5y < 1 + 5y
1 + 5y > 4x
1 + 5y - 1 > 4x - 1
5y > 4x - 1
y > $\frac{4}{5} x - \frac{1}{5}$
comparing this to the general form, we would find that:
slope (m) = 4/5
y-intercept (c) = 1/5

Second given inequality:
y - x < 3
y - x + x < 3 + x
y < 3 + x
comparing this to the general form, we would find that:
slope (m) = 1
y-intercept (c) = 3

Hope this helps :)

8 0

4 years ago

Read 2 more answers

Helppop!!A car and van are driving on a highway. The table shows the amount y (in gallons) of gas in the cars gas tank after dri

Korvikt [17]

Answer:

The car uses less gas

They use the same amount of gas after $\frac{640}{7}$ miles