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2 years ago

What is the product (1 – 6i) (-5 – 8i) ? PLEASE HELP QUICK!!!!!f

Mathematics

1 answer:

Svetlanka [38]2 years ago

3 0

Answer:

$-53+22i$

Step-by-step explanation:

You can simply use the FOIL method, but keep in mind that $i^2=-1$ :

$(1-6i)(-5-8i)\\(1)(-5)+(1)(-8i)+(-6i)(-5)+(-6i)(-8i)\\-5-8i+30i+48i^2\\-5+22i+48(-1)\\-5+22i-48\\-53+22i$

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Fatima highlighted columns 3 and 8 in the multiplication table below to find equivalent ratios.

Luba_88 [7]

Answer:

the answer is 40:15

Step-by-step explanation:

7 0

4 years ago

Graph image 1 for translation. one unit to the right

rodikova [14]

We use the following reflection rule:
(x, y) = (x + 1, y)
We have then:
M (-3, 1) ---> M '(- 2, 1)
O (1, 4) ---> O '(2, 4)
P (3, -1) ----> P '(4, -1)
Answer:
The new vertices are
M '(- 2, 1)
O '(2, 4)
P '(4, -1)
Graph five (last from left to right) is the correct one.

8 0

3 years ago

In ΔDEF, e = 8.7 inches, ∠F=8° and ∠D=34°. Find the length of f, to the nearest 10th of an inch.

fomenos

Answer:

1.8 in

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

1+secA/sec A = sin^2 A / 1-cos A

Fofino [41]

Answer: see proof below

<u>Step-by-step explanation:</u>

$\dfrac{1+\sec A}{\sec A}=\dfrac{\sin^2 A}{1-\cos A}$

Use the following Identities:

sec Ф = 1/cos Ф

cos² Ф + sin² Ф = 1

<u>Proof LHS → RHS</u>

$\text{LHS:}\qquad \qquad \dfrac{1+\sec A}{\sec A}$

$\text{Identity:}\qquad \qquad \dfrac{1+\frac{1}{\cos A}}{\frac{1}{\cos A}}$

$\text{Simplify:}\qquad \qquad \dfrac{\frac{\cos A+1}{\cos A}}{\frac{1}{\cos A}}\\\\\\.\qquad \qquad \qquad =\dfrac{1+\cos A}{1}$

$\text{Multiply:}\qquad \qquad \dfrac{1+\cos A}{1}\cdot \bigg(\dfrac{1-\cos A}{1-\cos A}\bigg)\\\\\\.\qquad \qquad \qquad =\dfrac{1-\cos^2 A}{1-\cos A}$

$\text{Identity:}\qquad \qquad \dfrac{\sin^2 A}{1-\cos A}$

$\text{LHS = RHS:}\quad \dfrac{\sin^2 A}{1-\cos A}=\dfrac{\sin^2 A}{1-\cos A}\quad \checkmark$

3 0

4 years ago

What was the percent of decrease in the number of pumpkins sold

Fofino [41]

% decrease = change/original price x 100%
= (1200 - 900)/1200 x 100%
= 300/1200 x 100%
= 25%

Therefore, the number of pumpkins sold decreased by 25%.

4 0

3 years ago