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Mnenie [13.5K]
3 years ago
13

What is the square root of -1​

Mathematics
1 answer:
aalyn [17]3 years ago
7 0

Answer:

"i". There's no more than that. Its just "i".

Step-by-step explanation:

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Determine the value (or values) of h such that the matrix: 2 - 3 h - 6 9 5 is the augmented matrix of a consistent linear system
Verizon [17]

Answer:

In order to have a consistent linear system represented by the augmented matrix:

\left[\begin{array}{ccc}2&-3&h\\-6&9&5\end{array}\right]

the value of h must be:

h=-\frac{5}{3}

Step-by-step explanation:

A system is consistent if it has a solution, this solution can be unique or a set of infinite solutions.  

First, you take the augmented matrix and find the equivalent row echelon form using Gaussian-Jordan elimination:

To do this, you have to multiply the 1st row by 3 and add it to the 2nd row, the resulting matrix is:

\left[\begin{array}{ccc}2&-3&h\\0&0&5+3h\end{array}\right]

Now, write the system of equations:

2x_1-3x_2=h\\0x_1+0x_2=5+3h

The only way this system has a solution is if 5+3h=0, then, to satisfy this, the value of h must be:

h=-\frac{5}{3}

5 0
3 years ago
Sometimes you have to divide the diamter by 2 to get the radius.<br> true<br> false
Oxana [17]

it is true

tbh am not sure

3 0
3 years ago
Read 2 more answers
If 1 ft = 1.894 x 10​ -4​miles, convert 20.0 inches to miles
Yakvenalex [24]

Answer:

3.1567 * 10^-4 miles

Step-by-step explanation:

1 ft = 1.894 * 10^-4 miles , so

1 inch = 1.894 * 10^-4 / 12  miles

= 0.15783 * 10^-4

= 1.5783* 10^-5 miles  ( in scientific form).

Multiplying this by 20 we get

31.567 * 10^-5

= 3.1567 * 10^-4 miles.

3 0
3 years ago
I will give you brainliest and 5 star and thanks if its correct
tamaranim1 [39]

Answer:

The Indapendent virable is: t

Noah took 4 hours to walk 12 miles

(7 1/2, 2 1/2)

Step-by-step explanation:

Please Mark Brainliest

7 0
3 years ago
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Building A is 464 feet tall and Building B is 321 feet tall. Dale is standing between the buildings. The angle of elevation from
alex41 [277]

Answer:

The distance between the buildings is:

D = 413.3 ft

Step-by-step explanation:

Ok, here we have two triangle rectangles, such that these triangle rectangles share a common vertex which is Dale.

One of the triangles, let's call it triangle A, has the catheti:

Distance between Dale and Building A = d1

Height of Building A = 464 ft

The other triangle (triangle B) has the catheti:

Distance between Dale and Building B = d2

Height of building B = 321ft

We want to find the distance between the buildings, which is equal to d1 + d2.

Then we want to find d1 and d2.

For triangle A:

We know that the angle at the vertex where Dale is standing, is 75°

Then the adjacent cathetus is d1, and the opposite cathetus is the height of building A.

Remember that:

Tan(θ) = (opposite cathetus)/(adjacent cathetus)

Then:

Tan(75°) = (464 ft)/(d1)

d1 = (464 ft)/(Tan(75°)) = 124.3 ft

Now for triangle B, the angle at the vertex where Dale is standing is 48°.

from this vertex, we have d2 as the adjacent cathetus and the height of build B as the opposite cathetus.

Then:

Tan(48°) = 321ft/d2

d2 = (321ft)/(Tan(48°)) = 289ft

Then the distance between the buildings is:

D = d1 + d2 =  124.3 ft +  289ft = 413.3 ft

7 0
3 years ago
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