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1 year ago

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Evaluate the expression (3-2i)(3-2i) and write the result in the form a+bi ,where a is the real part of your answer and bis the

coefficient in front of the imaginary part

1 answer:

Maslowich1 year ago

4 0

Answer:

a = 5, b = -12

Step-by-step explanation:

By basic factoring, you get 9 - 12i + $4i^2$ . Since $i^2$ is simply -1, the expression evaluates to 9 - 12i - 4, which is 5 - 12i.

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Please help me please plase plase plase

marysya [2.9K]

Answer:

840 square feet

Step-by-step explanation:

13 x 20 = 260 x 2 = 520

10 x 12 / 2 = 60 x 2 = 120

10 x 20 = 200

520 + 120 + 200 = 840

4 0

2 years ago

Read 2 more answers

Reduce the fraction 512/128 into the simplest form.

frez [133]

Answer:

Therefore, 512/128 simplified to lowest terms is 4/1.

Step-by-step explanation:

Reduce 512/128 to lowest terms

The simplest form of

512

128

is

4

1

.

Steps to simplifying fractions

Find the GCD (or HCF) of numerator and denominator

GCD of 512 and 128 is 128

Divide both the numerator and denominator by the GCD

512 ÷ 128

128 ÷ 128

Reduced fraction:

4

1

Therefore, 512/128 simplified to lowest terms is 4/1.

4 0

2 years ago

The height of a triangular window is 3 feet less than its base. The area the window is 20 ft.? find the dimensions of the window

Ivenika [448]

Let us assume base of the window = b feet.

Height is 3 feet less than base, that is = (b-3).

Given area of the triangle = 20 feet square.

We know formula for area of a triangle:

Area = $\frac{1}{2}$ × Base × Height

Plugging values in formula, we get

20 = $\frac{1}{2} b \times (b-3)$

$\mathrm{Multiply\:both\:sides\:by\:}2$

$40=b\left(b-3\right)$

$40=b^2-3b$

$b^2-3b-40=0$

Factoring quadratic, we get

$\left(b+5\right)\left(b-8\right)$ =0

b+5=0

b=-5

b-8=0

b=8.

For base we can take only positive value.

<h3>Therefore, base of the triangle = 8 feet and height = 8 -3 = 5 feet.</h3>

6 0

2 years ago

Rafael races his bicycle for

pychu [463]

Distance traveled = 70 m
Number of rotations = 29

We know, Circumference * Number of rotations = Distance traveled
So, C = 70 / 29
C = 2.41 m

Now, we know, diameter = C / π
So, d = 2.41/3.14 = 0.768

In short, Your Answer would be: 0.8 m

Hope this helps!

6 0

2 years ago

Read 2 more answers

Please help! Thank you! xx

Marianna [84]

Hi!! if you dont want to use points google graph calculator. There is a good website called Graphing calculator-symbolab Its really helpful. Good Luck!!
Go for d!!

4 0

2 years ago