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nevsk [136]
3 years ago
8

Write the product (4 + i)(4 − i) in the form a + bi. A. 16 − i B. 16 − i2 C. 17 D. 8

Mathematics
1 answer:
bonufazy [111]3 years ago
3 0

Answer:

A.16–i is correct.

Step-by-step explanation:

(4+i)(4–i). [(a+b)(a–b)=(a²–b²)]

(4²–i²)=16–i

I hope this answer is correct so please vote my answer

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stellarik [79]

m\angle1 = m\angle5 = m\angle7 = 135°

6 0
3 years ago
Graph A line goes through the point (6,–2) and has a slope of –3. What is the value of a if the point (a,7) lies on the line?
3241004551 [841]

Answer:

The value of a is 3

Step-by-step explanation:

First you have to make an equation based on the point and slope that you were given. The formula for this is y-(y cordinate of point)=slope(x-x cordinate of slope)

y--2=-3(x-6), which simplifies to y+2=-3(x-6)

In (a,7), 7 is the y coordinate. We have to plug 7 in for the y in our equation.

7+2=-3(x-6),

Combine like terms on the left side to get to 9=-3(x-6)

Multiply out on the left to get 9=-3x+18

Subtract 18 from the left side to get -9=-3x

Divide both sides by negative 3 to get 3=x (remember x is a)

7 0
3 years ago
in the Pythagorean theorem, the two must always be substituted for the side lengths, not a short side true or false
alina1380 [7]
The two what? This question needs more context
7 0
3 years ago
The formula for calculating simple interest is I = prt. Which is the equivalent equation solved for r? StartFraction I Over p t
xxTIMURxx [149]

Answer: r = I/pt

Step-by-step explanation:

Interest divided by the principal × time gives the rate. It's usually expressed as a percentage per year.

3 0
3 years ago
Read 2 more answers
The total volume is the length width and height are 3, 12.5, 8.4
sammy [17]

Volume is length time width time height

V = l x w x h

V = 3 x 12.5 x 8.4

V = 315 <<<This is the volume

Hope this helped!

6 0
3 years ago
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