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Rudiy27
3 years ago
12

The square root of -108

Mathematics
1 answer:
Elan Coil [88]3 years ago
3 0
Because the number you provided is negative, we won't get a real answer instead a complex answer.

Now simplify the square root.

To simplify a square root, find two factors where one of the factors is a perfect square.

\sqrt{-108} = \sqrt{(-3)(36)} = \sqrt{-3}\sqrt{36} = 6\sqrt{(-1)(3)} = 6\sqrt{(-1)}\sqrt{3} = 6i\sqrt{3}
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In the rectangle below, AE = 3x + 6, CE =6x-9, and mZEDA= 55°.<br> Find BE and m ZEAB.
tekilochka [14]

Answer:

BE = 21

m∠EAB = 45°

Step-by-step explanation:

The given dimensions in the rectangle are;

The length of AE = 3·x + 6

The length of CE = 6·x - 9

m∠EDA = 55°

From the properties of a rectangle, we have;

The diagonals of a rectangle bisect each other,

The lengths of the diagonals are equal

Therefore;

AC = BD

Diagonal BD bisects diagonal AC, therefore, AE = CE

Plugging in the values of AC and AE, we have;

3·x + 6 = 6·x - 9

∴ 6·x - 3·x = 6 + 9 = 15

3·x = 15

∴ x = 15/3 = 5

Therefore, we have;

AE = CE = 3·x + 6 = 3×5 + 6 = 21

AC = AE + CE = 21 + 21 = 42 = BD

BD = BE + DE and for rectangle ABCD, BE = DE

∴ BD = BE + BE = 2·BE = 42

∴ BE = 42/2 = 21

<em>BE = 21</em>

m∠EDA = m∠EAD = 55° by base angle of isosceles triangle ΔAED

m∠DAB = 90° = m∠EAD + m∠EAB

∴ m∠EAB = 90° - m∠EAD = 90° - 55° = 45°

<em>m∠EAB = 45°.</em>

7 0
2 years ago
Let f(x)=6(2)^x−1+4
cricket20 [7]
It equal 12 have a nice day
4 0
2 years ago
Read 2 more answers
I need help please thank u sm
gavmur [86]
K= 8. If you look at the pattern each x value is multiplied by 8 to give you the y value. You could also solve it by:

40=k5
40/5=k
8=k

you could do this with any of the x or y values and still end up with 8.
8 0
3 years ago
Show all work please will give brainliest answer❕❗️❕❗️❕❗️❕❗️❕David drops a ball from a bridge at an initial height of 100 meters
Inessa [10]
First, 9.8 (Gravity) times 3 (time) equals 29.4, which is the velocity after 3 seconds. The kinematic equation for change in position that uses the variables we have is:
delta x= (v)(t) -0.5(acceleration)(time)^2
delta x= 29.4 times (3) - 0.5 (9.8) times 9
delta x= 44.1
100 minus 44.1 equals 55.9, which is the answer for part a.

Tell me if you need any clarification

PART B:
The kinematic equation for this is:
delta x= (initial velocity) times time plus 0.5 (a)(time)^2
100=(0)times(x) plus 0.5 (a)(time)^2
100=0.5(9.8)(x)^2
100=4.9x^2
100/4.9 is approxamitely 20.4.
The squareroot of this is approxamitely 4.5.
4.5 seconds

Tell me if you need any clarification
3 0
2 years ago
Use the graph of the quadratic function y = - 1x2 + x + 4 to
True [87]

Answer: A, -2 and 4

Step-by-step explanation: cause it it you’re welcome

6 0
3 years ago
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