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n200080 [17]
4 years ago
12

Square root of -3 find the square root of -3

Mathematics
2 answers:
Serggg [28]4 years ago
6 0

Answer:

i times the square root of 3

Step-by-step explanation:

Whenever you take a square root of a number, look for anything that you could take out! Like if you have the square root of 40, that’s 4 * 10, so you could take out a 2 from the square root and leave the 10.

In this, we see that it’s the square root of 3 times the square root of -1, which we can simplify to the square root of 3 times “i.” We use i to represent the square root of -1.

LenaWriter [7]4 years ago
4 0

Answer:

finding the square root of a negative number is not possible

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Which equation represents a line that intersects the line 2y − 4x = 3? A.-2y + 4x = 1 B. 3y − 6x = 6.5 C. y − 2x = 3 D. -2y − 4x
irga5000 [103]
Convert all the equations to slope-intercept form:
2y-4x=3 \ \ \ |+4x \\
2y=4x+3 \ \ \ |\div 2 \\
y=2x+\frac{3}{2}

A. \\
-2y+4x=1 \ \ \ |-4x \\
-2y=-4x+1 \ \ \ |\div (-2) \\
y=2x-\frac{1}{2} \\ \\
B. \\
3y-6x=6.5 \ \ \ |+6x \\
3y=6x+6.5 \ \ \ |\div 3 \\
y=2x+\frac{13}{6}

C. \\
y-2x=3 \ \ \ |+2x \\
y=2x+3 \\ \\
D. \\ 
-2y-4x=3 \ \ \ |+4x \\
-2y=4x+3 \ \ \ |\div (-2) \\
y=-2x-\frac{3}{2}

Lines A, B and C have the same slope as the line 2y-4x=3, so they are parallel and don't intersect it.
Line D has another slope, so it intersects the line 2y-4x=3.
The answer is D.
3 0
4 years ago
In ΔQRS, q = 9.4 cm, r = 8 cm and ∠S=151°. Find ∠Q, to the nearest 10th of a degree.
kramer

9514 1404 393

Answer:

  15.7°

Step-by-step explanation:

The law of cosines can be used to find side s:

  s² = r² +q² -2rq·cos(S)

  s² = 8² +9.4² -2(8)(9.4)·cos(151°) ≈ 283.903

  s ≈ 16.849

Then the law of sines can be used to find angle Q.

  sin(Q)/q = sin(S)/s

  sin(Q) = (q/s)sin(S)

  Q = arcsin(q/s·sin(S)) = arcsin(9.4/16.849·sin(151°)) ≈ 15.692°

Angle Q is about 15.7°.

8 0
3 years ago
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