Solve with the quadratic formula
4×^2×+1=0

Answers

Answer 1
Answer:

Answer:

Either x  = + i/2 or  x = i/2 is the solution for the given quadratic equation.

Step-by-step explanation:

Here, the given quadratic equation is:4x^2 + 1 = 0

Now, comparing the given equation with standard Quadratic Form, ax^2 + bx + c = 0

we get,a  = 4, b =0 and c = 1

Now, the Quadratic Formula is given as:

x = (-b \pm √(b^2 - 4ac) )/(2a)

So, here the solution for the given expression is:

x = (0 \pm √((0)^2 - 4(4)(1)) )/(2(4)) = x = (0 \pm √(-16) )/(8)\n\implies  x = (0 \pm4i)/(8)\n\implies x  =  (0 + 4i)/(8) = (i)/(2) \nor,  x  =  (0 - 4i)/(8) = (-i)/(2)

Hence, either x  = + i/2 or  x = i/2 is the solution for the givenquadratic equation.


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Is 4/16;0.25 equivalent numbers

Answers

Yes, because 4/16 is equal to 1/4 and 1/4 is equal to 0.25
4/16=1/4
0.25=1/4
THESE ARE EQUIVALENT!!!!!!!!
Hope this helps!!! :D

25 is what % of 200?

Answers

25 divided by 200 which is 0.125
hope it help you
thank you
:)
25% = 0,25
25% of 200 = 0,25*200 = 50

Use (<, >, =) to compare 2⁄3 and 3⁄4. A. None of the above
B. 2⁄3 > 3⁄4
C. 2⁄3 < 3⁄4
D. 2⁄3 = 3⁄4

Answers

We are given fractions 2⁄3 and 3⁄4.

We need to compare them.

In order to compare them, we need to make the denominators same by finding LCD of common denominator.

Common denominator of 3 and 4 is 12.

So, we need to make both denominator as 12.

Multiplying 2/3 by 4 in top and bottom, we get

2*4/3*4 = 8/12

Multiplying 3/4 by 3 in top and bottom, we get

3*3/4*3 = 9/12.

Now, we can compare the numerators.

8/12 is less than 9/12.

Therefore, 8/12 < 9/12.

Or 2/3 < 3/4.

Therefore, correct option is C option 2⁄3 < 3⁄4.

i believe it is C. 2/3<3/4

Why is 16:14 and 64:60 not equivalent

Answers

The 2 ratios are almost equivalent, but not quite. In order to tell if they are equivalent, there are a number of ways but the 2 most common are 1, finding the decimal equivalent of the fraction, and 2, finding the scale factor. 

1: Take 16, divide by 14. You should get something around 1.142. Take 64, divide by 60. You should get something around 1.066666.... Not equivalent.

2: Find the scale factor between the 2. To find scale factor, divide the larger numerator and larger denominator by the smaller numerator and smaller numerator. 64/16, 60/14. Not equal. 
16:14 =16/14
64:60=64/60
16/14=64/60
(We r doing the cross thing)
16x60=14x64
960=896
Is 960 equivalent (equal) to 869 ? No .
So they r not equivalent because the result is not the same.

Please help me find the area

Answers

Answer:

5)56,350

6)5,120

Step-by-step explanation:

create three different drawings showing a number of circles and triangles in which the ratio of circles to triangles is 2:3

Answers

Answer:

The required drawings is shown in figure 1, 2 and 3.

Step-by-step explanation:

Consider the provided information.

Let say x is the number of circles in the drawing.

y is the number of triangles in the drawing.

we know that

r= (x)/(y)

r= (2)/(3)

See the figure 1

In the figure 1  we have  2 circles and 3 triangles:

 x=2  and  y=3

The ratio will be :

r= (2)/(3)

See the figure 2

In the figure 2  we have  4 circles and 6 triangles:

 x=4  and  y=6

The ratio will be :

r= (4)/(6)=(2)/(3)

See the figure 3

In the figure 2  we have  6 circles and 9 triangles:

 x=6  and  y=9

The ratio will be :

r= (6)/(9)=(2)/(3)

o= circle and ^= triangle
____________________
o    | ^ ^
  o  |    ^
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o o o o : ^ ^ ^ ^ ^ ^
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oooooo l ^^^^^^^^^