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3 years ago

How do you do this one?

Mathematics

1 answer:

tankabanditka [31]3 years ago

7 0

Your answer is correct... $i^2=-1$ , so

$(3+i)(i^2+8i-2)=(3+i)(-3+8i)$

Then distributing $3+i$ to both terms on the right gives

$(3+i)(-3)+(3+i)(8i)=(-9-3i)+(24i+8i^2)=-9-3i+24i-8=-17+21i$

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allochka39001 [22]

Answer:

330+77= 407

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A cement truck pours cement into a container in the shape of a cylinder with a radius of 4 feet. The height, h, of the cement in

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2 years ago

Examine the linear table to find the slope, y-intercept, and write the equation for this linear relationship . NEED HELP PLEASE

gizmo_the_mogwai [7]

Answer:

$y = \frac{4}{3} x + 17$

Step-by-step explanation:

The table shows a set of x and y values, thus showing a set of points we can use to find the equation.

1) First, find the slope by using two points and substituting their x and y values into the slope formula, $\frac{y_2-y_1}{x_2-x_1}$ . I chose (-3, 13) and (0,17), but any two points from the table will work. Use them for the formula like so:

$\frac{(17)-(13)}{(0)-(-3)} \\= \frac{17-13}{0+3} \\= \frac{4}{3}$

Thus, the slope is $\frac{4}{3}$ .

2) Next, identify the y-intercept. The y-intercept is where the line hits the y-axis. All points on the y-axis have a x value of 0. Thus, (0,17) must be the y-intercept of the line.

3) Finally, write an equation in slope-intercept form, or $y = mx + b$ format. Substitute the $m$ and $b$ for real values.

The $m$ represents the slope of the equation, so substitute it for $\frac{4}{3}$ . The $b$ represents the y-value of the y-intercept, so substitute it for 17. This will give the following answer and equation:

$y = \frac{4}{3} x + 17$

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2 years ago

In this figure, mBDA=___ and mBCA=___.

san4es73 [151]

MBDA= ADB and mBCA= ACB

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3 years ago

Read 2 more answers

Fred earns dollars. Chad earns 45% more than Fred which expression represents the amount of money in dollars that chad earns

Genrish500 [490]

Answer:

$0.45x

Step-by-step explanation:

Fred earns dollars. Let Fred earns $x.

Chad earns 45% more than Fred.

We need to find the expression for Chad.

Chad amount = 45% of x

$=\dfrac{45}{100}x\\\\=0.45x$

So, Chad earns $0.45x.

7 0

2 years ago