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MariettaO [177]
3 years ago
10

What is the complete factorization of x2 + 4x - 45?

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0

Answer: c

Step-by-step explanation:

x^2+4x-45

(x+9)(x-5)

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What is the square root of –16?<br><br><br><br> –8i<br><br> –4i<br><br> 4i<br><br> 8i
Ad libitum [116K]

we know that

i^{2} =-1

we have

\sqrt{-16} =\sqrt{(-1)*(16)} =\sqrt{(-1)*(4^{2})}

substitute the value of i^{2}=-1 in the expression above

\sqrt{(-1)*(4^{2})}=\sqrt{i^{2}*4^{2}} \\ \\= 4i

therefore

<u>the answer is</u>

4i


7 0
3 years ago
Read 2 more answers
Help me with both parts plz
frez [133]
(z+1.2)/5=3.6

quotient: division
3 0
3 years ago
Look at the Screenshot for the question.
UNO [17]

Answer:

2

Step-by-step explanation:

6 0
3 years ago
Two scuba divers are 20 m apart below the surface of the water. They both spot a shark that is below them. The angle from diver
Mkey [24]

Answer: Approximately 14.647147438893 meters

Round this value however you need.

===============================================================

Explanation:

Refer to the diagram below. The blue horizontal line is the water surface, and just below that are points A and B to represent diver 1 and diver 2 respectively. Point C is the shark's location. The diagram is not to scale. The assumption is that the two divers are at the same depth in the water.

Angle A (also known as angle BAC or CAB) is the angle formed at diver 1's location, which is the 47 degree angle mentioned earlier. Angle B is 40 degrees. This must mean angle C is 180-A-B = 180-47-40 = 93 degrees. Note how A+B+C = 47+40+93 = 180.

The goal is to find the distance from diver 2 to the shark. So we want the distance from point B to point C. In other words, we want the length of segment BC. Since this segment is opposite angle A, we'll refer to this side as lowercase 'a'. The lowercase letters represent side lengths and they are conventionally opposite the uppercase letter angles. So side b is opposite angle B, and side c is opposite angle C.

Here's what we have so far:

  • side a = unknown = what we want to solve for
  • angle A = 47 degrees
  • side c = 20 meters = distance between the two divers
  • angle C = 93 degrees

We can apply the law of sines to find side 'a'.

a/sin(A) = c/sin(C)

a/sin(47) = 20/sin(93)

a = sin(47)*( 20/sin(93) )

a = 14.647147438893

Make sure your calculator is in degree mode.

The distance from diver 2 to the shark is approximately 14.647147438893 meters. Round this value however you need.

8 0
3 years ago
Read 2 more answers
Find angle ABC if ABC = 4x+9 and angle EBD = 7x-9
Andrews [41]

Answer:

33°

Step-by-step explanation:

As this are vertical angles there value must be same. We have 4x+9=7x-9, so 3x=18 and x=6. Then ABC=33°

Have a nice day ;)

6 0
3 years ago
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