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aksik [14]
3 years ago
14

Simplify -3+6i-(-5-3i)-8i​

Mathematics
1 answer:
borishaifa [10]3 years ago
4 0

Answer:

2 +i

Step-by-step explanation:

-3+6i-(-5-3i)-8i​

Distribute the minus sign

-3 +6i +5 +3i -8i

Combine like terms

-3+5 +6i +3i -8i

2 +i

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Radio station KLUV broadcast and all directions to a distance of 60 miles. What is the area over which the station can be heard
wlad13 [49]
Station can be heard 60 mile radius
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4 years ago
12z - 3 ≥ 2z - 15 it says my question is too short, so here are more characters.
Mnenie [13.5K]
The answer is z ≥ -6/5 :)

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3 years ago
The length of the hypotenuse of a right angled triangle exceeds the length of the base by 2cm and exceeds twice the length of th
insens350 [35]

Answer: a = 8;  b = 15;  c = 17

Step-by-step explanation:

c = b + 2  and c = 2a + 1

b = c − 2 and a =  \frac{c-1}{2}

​

c² = b² + a²  

c^{2} = (c-2)^{2} + \frac{c-1}{2}\\

c^{2}= \frac{4 (c-2)^{2}+(c - 1)^{2}  }{4}

4c^{2}={4 (c^{2} + 4 -4c)+c ^{2}  + 1-2c

4c^{2}={4 c^{2} + 16 -16c)+c ^{2}  + 1-2c

c^{2}-18c+17=0

c(c -17)-1(c-17)=0

​(c -1)(c-17)=0

c = 1 or c = 17

If c = 1 then b = 1 - 2 = -1, that's not possible

So x = 17

b = 17 - 2 = 15

a = \frac{17-1}{2}  = 8

Length sides of the triangle are 17 cm, 15 cm and 8 cm.

I saw some of this on a site but I want to make sure its correct so we're gonna apply the pythagorean theory and see if its correct.

a^{2} + b^{2} = c^{2} \\8^{2} + 15^{2} = 17^{2} \\64 + 225 = 289\\289 = 289\\

This shows that this is correct.

Hope this helped! Again, some of this was from a site, not from me.

3 0
3 years ago
Round the number 76.4491 to 1 decimal place
solniwko [45]

Answer:

Step-by-step explanation:

76.4

4 0
3 years ago
If the diameter of the circle is 24 cm, find its area correct to 1 decimal place.
Blababa [14]

Answer:

452.4 cm^2

Step-by-step explanation:

Use the area formula A = πr².  With d = 24 cm, r = 12 cm, and so the desired area is

A = π(144 cm^2) = 452.4 cm^2

6 0
3 years ago
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