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sveticcg [70]
4 years ago
9

Simplify the expression shown below.(6+8i)(4-7i)

Mathematics
2 answers:
REY [17]4 years ago
7 0
<span>(6+8i)(4-7i)
=6(4-7i)  + 8i(4-7i)
= (6)(4)-(6)(7i)+(8i)(4) - (8i)(7i)
= 24 - 42i + 32i - 56i^2
</span>= 24 - 42i + 32i - 56(-1)
= 24 - 42i + 32i + 56
= 24 +56 - 42i + 32i 
= 80 - 10i (final answer)
Tema [17]4 years ago
5 0
Simplify the expression shown below.(6+8i)(4-7i)

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Does anyone know the answer to this? I tried my best
Anna11 [10]
A. Corresponding angles bc 1 and 5 are on the same side and they aren’t on the inside or the outside and if u scuot I’m down then they will be the same
8 0
4 years ago
What is the center of the circle that has a diameter whose endpoints are (9, 7) and (-3, -5)?
emmasim [6.3K]

Answer: OPTION B.

Step-by-step explanation:

Given the endpoints of the diameter of the circle, we  need to find the midpoint, which is the center of the circle.

The following formula is used to calculate the Midpoint:

M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Given the endpoints of the diameter of the circle:

(9, 7)\ and\ (-3, -5)

We can identify that:

x_1=9\\x_2=-3\\y_1=7\\y_2=-5

Then, we can substitute these values into the formula:

M=(\frac{9+(-3)}{2},\frac{7+(-5)}{2})\\\\M=(3,1)

Therefore, the center of the circle is: (3,1)

3 0
3 years ago
The blueprint for Moreno​'s living room has a scale of 2 inches equals 3 feet. The family wants to use a scale of 1 inch equals
lina2011 [118]

Answer:

18 feet

Step-by-step explanation:

If 2 inches equals 3 feet, then 1 inch equals 1.5 feet. And if the width is 12 inches, you can multiply 1.5 by 12 to get the actual length of the living room. 18 feet!!! I hope this helps!!! :D

7 0
2 years ago
The ratio of SAMs age to hank is 5 to 3. If the sum of their age is 24. How old is is hank?
Serggg [28]
Lets consider SAM's age is 'x'  and Hank's age is 'y'
So as per given data Sam's age is 5/3 times of Hank's age
so x = 5/3 * y
3x = 5y --> equation 1
 and also sum of their ages is 24
so, x + y = 24
we need to find Hank's age (y)
so x = 24 - y
Now replace x value in equation 1
3(24-y) = 5y
72-3y = 5y
72 = 3y+5y
8y= 72
y= 72/8
y = 9 years.

So the Hank's age is 9 years

.
3 0
3 years ago
What is the measure of EBC ?<br> ___ degrees
erma4kov [3.2K]

Answer:

The measure of arc EBC is 220°

Step-by-step explanation:

step 1

Find out the measure of angle COB

we know that

m∠COB+m∠DOC=90°  -----> given problem

we have that

m∠DOC=m arc DC -----> by central angle

m arc DC=50°

so

m∠DOC=50°

Find m∠COB

m∠COB+50°=90°

m∠COB=40°

step 2

Find out the measure of arc BC

we have that

m arc BC=m∠COB -----> by central angle

m∠COB=40°

therefore

m arc BC=40°

step 3

Find out the measure of arc EBC

we know that

m arc EBC=m arc EB+m arc BC

m arc EB=180° -----> because the diameter divide the circle into two equal parts

so

m arc EBC=180°+40°=220°

8 0
3 years ago
Read 2 more answers
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