Answer:
the square root of -1 is i
Step-by-step explanation:
Well, actually, the square root of -1 (or any negative number at that) is not a real number. What I mean by that is that there is no way to square a real number to get a negative number (ie [tex]2^{2} = 4, -2^{2} =4[/tex], there is no way to square a real number to get -4).
To solve this, mathematicians came up with the "imaginary number" i which, when squared, equals to -1. This allows us to get the square root of negative numbers ([tex]\sqrt{-4} = 2i[/tex]) or get negative numbers through squaring ([tex]2i^{2} = -4[/tex]).
The required value of the square root of -1 is i. The correct answer is option B.
As we know that complex number is made up of real and imaginary values. It is represented by the equation z = a + ib, where a, b, and i are real values and i is an imaginary number.
The square root of -1 is denoted as "i" in mathematics, where "i" represents the imaginary unit.
The imaginary unit is defined as the square root of -1. It is important to note that the square root of a negative number is not a real number, but an imaginary number.
⇒ √(-1)
⇒ √(i²)
⇒ i
So, the correct answer is "i."
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The graph of F(x) shown below resembles the graph of G(x)=x^3, but it has been changed somewhat. Which of the following could be the equation of F(x)?
Answer && Step-by-step explanation:
We know f(x) transcribes towards -x axis. thus ruling out b and d (remember signs opposite of what they mean on the board, you would think +# =towards x axis and vice versa also note if multiplied by a negative on the outside, flips signs inside)
choosing A.
plug in values of -x to see if you can get ~= to graph so -5 to -1
x: -5, -4, -3, -2, -1
y: -2, -.25, 0, .25, 2
checks out., A is your answer
The equation for f(x) is F(x) = 1/4(x+3)²
Given is a graph, showing the function g(x) = x³, we need to find the equation for the function f(x) in the graph,
We know f(x) transformed towards x-axis.
We see that, there is a left shift of 3 units, so the function will be (x+3)³
Also, the graph is spread out 4 units, so the function can be 1/4(x+3)³
Hence, the equation for f(x) is F(x) = 1/4(x+3)²
Learn more about equations, click;
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pls help i’m not sure how to do thhis
Answer:
I would say that shape E and A has symmetry.
Step-by-step explanation:
The line of symmetry means that on both sides of the shape from the middle part, it is equal. For example, a square has symmetry because it is equal when you split in in half.
If you were to rotate E and A a little, the slice it in half, it is equal on both sides, thus having symmetry.
(6*10^3)(2*10^5)
HELP please
Answer:
(216000)(3200000)
Step-by-step explanation:
6*10=60
60*60*60=216000
2*10=20
20*20*20*20*20=3200000
I honestly have no idea what to do here
Problem 1
Answer: DF = 2.68-----------------------------------
Explanation:
The scale factor is DE/AB = 1.34/2 = 0.67
This means DE is 67% of the length of AB
Or you could say that DE = 0.67*AB
This means that
DF = 0.67*AC
DF = 0.67*4
DF = 2.68
Side note: AC and DF are the first and last letters of ABC and DEF respectively. This is why AC and DF correspond together.
===========================================================
Problem 2
Answer: EF = 2.01-----------------------------------
Explanation:
We'll use the same scale factor to find EF
new side = (scale factor)*(old side)
EF = 0.67*BC
EF = 0.67*3
EF = 2.01
Side note: BC and EF are the last two letters of ABC and DEF respectively, so BC corresponds to EF.
rjfkdmfmfmfmfmggmgm
Answer:
same
Step-by-step explanation:
Please help,
Determine which is the graph of the given function. f(x) 2x if < - 2 2x - 2 if - 2 < x < 2 -2 if x > 2
Answer:
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Which organelle is marked with an X?
Answer:
cell wall :)
Answer:
Lysosome.
Step-by-step explanation:
If You Saw The Questions Before This One, you can see the Question: Which accurately labels the lysosome? and its X, so the answer is Lysosome
which relation is a function. ( I chose option D) but not 100% sure. Need help ASAP. Will Mark Brainlest.
FIRST RIGHT GETS BRAINLIEST
Answer:
20
Step-by-step explanation:
every line is a multiple of 2.
Answer:
The answer is 20
Step-by-step explanation:
The first line is 0 then is goes by two
0, 2, 4, 6, 8, 10, 12, 14, 16, 18, 20.
Could anyone be willing to help me with any of these 3 questions? :)
Answer:
X is 70
Y is 110
Z is 30
Step-by-step explanation:
Because a trangle have 180 degree inside
Answer:
Step-by-step explanation:
second one - for this one you would do 90 +30 = 120
then take this from 180 to get 60 . so if you can see that the shape is an f but that's if you take away the sides with the right angles . the corresponding angle rule (you can see an F shape) means that the angle that i just worked out is the same as angle c so angle c=60
third one - for this one do 70+30 then take this answer away from 180
that angle x
the rule for angle y is the vertically opposite angle rule - angle s that are vertically opposite are the same angle y= angle x - same angle
can someone please help me
Answer:
what do you need?
Step-by-step explanation:
Answer:
The first is
Basketball : 2
Football :0
Nd da 3rd one (donno da name) : 4
Step-by-step explanation:
Please mark as brainliest
HELP PLZ!!! IM RUNNING OUT OF TIME!!! 100PTS!!!
What is the slope of the line passing through the two given coordinates: f(0) = 3, and f(2)=11. Round your answer to the nearest integer.
Answer:
the slope is 2/11 pls give me brainliest cause I gave you the actual answer and didnt use u for points
(-2)2+3 × (-5)
please helpe me answer this question
Answer:
(−2)(2)+(3)(−5)
=−19
Step-by-step explanation:
Answer:
-19
Step-by-step explanation:
(-2)2 + 3 * (-5)
-2 * 2 = -4
3 * -5 = -15
-4 + -15 = -19
What is the answer 2x3-5+7=
Answer:
300000000
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
Hope this helps :)
Brainest pls?
what is the meaning of this symbol^
Answer:
[tex]superscript, \:used\: to\: raise\: objects\: to\: power[/tex]
need help on this one
Simplify square root -200
Answer:
10 i sqrt 2
Step-by-step explanation:
i indicates that it is an imaginary number. this is because 200 is negative.
The simplified form of the given square root number is 10i√2. Therefore, the correct answer is option D.
The given square root number is √-200.
The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.
Here, 200 = 2×2×2×5×5
Thus, √-200=√-2×2×2×5×5
=2×5×i√2
= 10i√2
Therefore, the correct answer is option D.
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Solve this problem. 74-4^3+6= *
Answer: The answer is 16
Step-by-step explanation:
(8x^3+4x^2+x)-(2x^3+x^2+x)
Answer:
6x^3+5x^2+2x
Step-by-step explanation:
Determine the slop of the linear function
Answer:
y = 5x.
Step-by-step explanation:
Read the table from top to bottom. You'll see that each time x increases by 1, y increases by 5. We know immediately that the slope of this line is m = rise/run = 5/1 = 5.
Using the first point (2, 10), we see that y = 10 when x = 2. Fit this info into the slope-intercept form of the equation o a straight line:
y = mx + b becomes 10 = 5(2) + b, or b = 0, and the final equation is y = 5x.
pls help me on this question it is geometry
Answer:
Contrapositive
Step-by-step explanation:
Original Statement: if p then q
Negation: not p
Contrapositive: if not q then not p
Inverse: if q then p
Converse: if not p then not q
What is the equivalent ratio for 19:7?
Answer:
Fraction form it is 2 5/7 decimal form it is ~ 2.7143
Step-by-step explanation:
Pls answer these correctly I need it ASAP
Simply ask your parents or someone to help you your welcome.
Find an equation of the line perpendicular to the graph of 10x - 5y = 8 that passes through the point at (-4, 7).
y = 2x + 5
a.
C.
1
•x-5
y =
b.
d.
1
y = -x + 5
2
1
y = --X + 5
Please select the best answer from the choices provided
A
B
ОООО
C
D
Answer:
Step-by-step explanation:
you want a line with slope = -1/2
So, using the point-slope form of the line,
y-7 = -1/2 (x+4)
y = -1/2 x + 5
Hard to tell what your choices are ...
can someone solve, the answer is in the double form something
Answer:
See Below
Step-by-step explanation:
(x-3)-2 ≤ 1 (x-3)-2 ≥ -1
+2 +2 +2 +2
x-3 ≤ 3 x-3 ≥ 1
+3 +3 +3 +3
x ≤ 6 and x ≥ 4
Can Anyone help me this is my last question for webwork?
9514 1404 393
Answer:
maximum: 12at x = 0Step-by-step explanation:
The x-term has even degree so is never negative. The x-term is subtracted from 12, so the maximum value of the function will be found where x=0. That value is 12 -0 = 12.
f(0) = 12 . . . . absolute maximum
Answer:
The function [tex]f(x)=12-6x^4[/tex] has an absolute maximum value of [tex]12[/tex] and this occurs at [tex]x $\ equals 0.[/tex]
Step-by-step explanation:
The maximum value of this function is at 12, because if you rewrite this function:
[tex]f(x)=-6x^4+12[/tex]The +12 is the k-value (the graph of this function is a parabola) of the vertex form of a quadratic. Just a reminder:
Vertex form of a parabola:
[tex]a(x-h)^2+k[/tex]You can see the 12 is the k-value. The k-value of the vertex form is the vertical shift of the parabola, meaning that this parabola is shifted 12 units upwards.
Since the parabola opens down (you can tell by the negative a-value [tex]-6[/tex]), there is a maximum value at the k-value, i.e. the vertical shift.
[tex]f(x)=-6x^4+12[/tex] has an absolute maximum value of [tex]12[/tex].
To find where the maximum value occurs at, the formula:
[tex]-\frac{b}{2a}[/tex]Tells us the x-value of the vertex of the parabola, whose y-value is the maximum value.
Using our rearranged equation, the a, b, and c-values are:
[tex]a=-6[/tex][tex]b=0[/tex][tex]c=12[/tex]Plug in the a and c values into the formula to find the x-value of the maximum point:
[tex]-\frac{b}{2a}[/tex][tex]-\frac{(0)}{2(-6)}=0[/tex]Therefore, the absolute maximum value of 12 occurs at x = 0.
The measure of an angle is 53.8°. What is the measure of its complementary angle?
Step-by-step explanation:
Complementary angles means that the angles should add up to 90°.
let the complementary angle of 53.8° is x°.
So,
53.8° + x° = 90°.
x° = 90°-53.8°
x = 36.2°
f(x)=3x^2+6x-18 , find f(10)
Answer:
f(10)=342
Step-by-step explanation:
f(10)= 3(10)^2+6(10)-18
complete your exponet first and multiply 6(10)
f(10)=3(100)+60-18
multiply the 3(100)
f(10)=300+60-18
add and subtract all the numbers together
f(10)=342
FIRST RIGHT GETS BRAINLIEST
Answer:
-6 duh its easy right
Step-by-step explanation:
Carly spends $5 for n notebooks. Write an algebraic expression to represent the cost of one notebook.
Answer:
vfgvygfvygybgybgybgybvgybgyvbg
Step-by-step explanation:
cvbnhbvcxzcdfvgbhjkhnfgvcdxsdfggvbgfvygf
Answer:
5÷n
Step-by-step explanation:
5÷n will tell you how much it is for each notebook