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3 years ago

In which quadrant is the number 6 – 8i located on the complex plane?

Mathematics

1 answer:

Bogdan [553]3 years ago

8 0

Answer:

4th quadrant

Step-by-step explanation:

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The length of a rectangle is 3 less than twice the width. Write a function rule for the perimeter in terms of w, the width

Nitella [24]

l = 2w-3

P = 2(l+w)

substitute in for l

P = 2(2w-3 +w)

combine like terms

P = 2(3w-3)

P = 6w-6

P(w) = 6(w-1)

3 0

3 years ago

Read 2 more answers

<img src="https://tex.z-dn.net/?f=if%20%5C%3A%20%28%20%5Cfrac%7B3%7D%7B4%7D%20%29%5E%7B6%7D%20%20%5Ctimes%20%28%20%5Cfrac%7B16%7

zhenek [66]

Answer:

Step-by-step explanation:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{x+2}$

$\frac{3^6}{4^6} \cdot \frac{16^5}{9^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{(4^2)^5}{(3^2)^5}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{4^6} \cdot \frac{4^{10}}{3^{10}}=\frac{4^{x+2}}{3^{x+2}}$

$\frac{3^6}{3^{10}} \cdot \frac{4^{10}}{4^6}=\frac{4^{x+2}}{3^{x+2}}$

$3^{-4} \cdot 4^{4}=4^{x+2}3^{-(x+2)}$

This implies

x+2=4

and

-(x+2)=-4.

x+2=4 implies x=2 since subtract 2 on both sides gives us x=2.

Solving -(x+2)=-4 should give us the same value.

Multiply both sides by -1:

x+2=4

It is the same equation as the other.

You will get x=2 either way.

Let's check:

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{2+2}$

$(\frac{3}{4})^6 \times (\frac{16}{9})^5=(\frac{4}{3})^{4}$

Put both sides into your calculator and see if you get the same thing on both sides:

Left hand side gives 256/81.

Right hand side gives 256/81.

Both side are indeed the same for x=2.

4 0

3 years ago

Triangle ABC has vertices at A(–2, 3), B(–3, –6), and C(2, –1). Is triangle ABC a right triangle? If so, which angle is the righ

Len [333]

Answer:

∠ACB is a right angle

Graph:

4 0

3 years ago

Which functions have an additive rate of change of 3? Select TWO options

Pachacha [2.7K]

Answer:

Second table.

Step-by-step explanation:

A function has an additive rate of change if there is a constant difference between any two consecutive input and output values.

The additive rate of change is determined using the slope formula,

$m = \frac{y_2-y_1}{x_2-x_1}$

From the first table we can observe a constant difference of -6 among the y-values and a constant difference of 2 among the x-values.

$m = \frac{ - 9- - 3}{4-2} = - 3$

For the second table there is a constant difference of 3 among the y-values and a constant difference of 1 among the x-values.

The additive rate of change of this table is

$m = \frac{ - 1 - - 4}{3 - 1} = 3$

Therefore the second table has an additive rate of change of 3.

5 0

3 years ago

Read 2 more answers

What is the median of the data set? 15, 19, 20, 22, 26, 30, 31

Paladinen [302]

Answer:

C. 22

Step-by-step explanation:

The median is the middle number of the set if the numbers are in order from least to greatest.

This set of numbers is in order, so the median is the middle number = 22

7 0

3 years ago