(5+2yi)(4-3i) - (5-2yi)(4-3i) in a + bi form, where y is a real number.

Answers

Answer 1
Answer: (5+2yi)(4-3i) - (5-2yi)(4-3i)

Factorize out (4 - 3i)

(4 -3i)( (5 + 2yi) - (5 -2yi) )

(4 -3i)(5 + 2yi - 5 + 2yi)

(4 -3i)(5 - 5 + 2yi + 2yi)

(4 -3i)4yi

4*4yi - 4yi*3i

= 16yi - 12yi².                 i² = -1

=
16yi - 12y(-1)

= 16yi + 12y

= 12y + 16yi                in the form a + bi.
Answer 2
Answer: (5+2yi)(4-3i) - (5-2yi)(4-3i)=\n(4-3i)(5+2yi-5+2yi)=\n(4-3i)\cdot4yi=\n16yi+12y=\n12y+16yi

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Hope this helped! 

The following triple represents the side lengths of a triangle. Determine whether the triangle is a 45-45-90 triangle, a 30-60-90 triangle, or neither.2, 1, 2squared3.

Answer Choices:
a.
45-45-90 triangle
c.
neither
b.
30-60-90 triangle

Answers

If the sides of the triangle have lengths of: 2, 1, and 2√3

Then, the triangle is a

c. neither a 45-45-90 triangle nor a 30-60-90 triangle.

Looking at the lengths, if the triangle is a right triangle
2 and 1 must be the measure of the legs
2√3, the measure of the hypotenuse

If we use the Pythagorean theorem,
2^2 + 1^2 = (2√3)^2
5 = 12 (not correct)

Therefore, the triangle is not a right trangle

Escreva no caderno dois exemplos de números reais que obedecem a cada uma das condições A) números irracionais maiores que 2,5 e menores que 3.
B) números racionais maiores que -7/8 e menores que -3/4

Answers

A números irracionais maiores que 3,5 é menores que 3

the browns boarded a train at 3.55pm. to go home from the fair. it tookthem 25minutes to get to the station from the fair . they spent 1 hour and 15 minutes at the fair. what time did they arrive at the fair

Answers

Just add 25 minutes. That's because they boarded at 3:55 and took 25 minutes to just go to the fair. So in 25 more minutes they got to the fair! so it would be 4:20 when they got to the fair.
Do:

3.55 - 0.25 - 1.15 = 2.15 hs

They arrived at fair the 2.15 hs

Find the measure of the missing angle.
59°

Answers

Final answer:

The total angle for a triangle is 180°. If one angle is given as 59°, the other two angles total 121°(180°-59°). More information is required to find a specific missing angle.

Explanation:

To find the measure of the missing angle, I must assume that you're referring to a triangle, as more information is needed for other situations. The total internal angle for a triangle is always 180 degrees. So if one angle is 59°, the other angles will add up to 180° - 59° = 121°. But this is the sum of the other two angles. If you're looking for the measure of a specific angle, we'll need more information.

Learn more about Missing Angle

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Answer:

31 is the missing angle

Step-by-step explanation:

Right Angle = 90 degrees

90 - 59 = 31 degress

What is the volume of the right prism? A.
166 in3

B.
140 in3

C.
64 in3

D.
16 in3

Answers

I saw the image that should have been included in this problem.

It was a rectangular prism. It can also be identified as a right prism because its bases are aligned one directly above the other and its lateral faces are rectangular.

The image has the following measurements:
length = 7 inches
width = 5 inches
height = 4 inches

volume = length * width * height
v = 7 in * 5 in * 4 in
v = 140 in³  Choice B.

360

for me it was 360.