Perform the indicated operations. Write the answer in standard form, a+bi.
(√3 - √10i) (√3 + √10i)
Answers
[tex]\boxed{\underline{\bf \: ANSWER}}[/tex]
[tex] \sf( \sqrt { 3 } - 10 i ) ( \sqrt { 3 } + 10 i )[/tex]
Apply the distributive property by multiplying each term of [tex]\sf \sqrt{3}-10i[/tex] by each term of [tex]\sf\sqrt{3}+10i[/tex].
[tex] \sf\left(\sqrt{3}\right)^{2}+10i\sqrt{3}-10i\sqrt{3}+100 [/tex]
The square of [tex]\sf\sqrt{3}[/tex] is 3.
[tex] \sf3+10i\sqrt{3}-10i\sqrt{3}+100 [/tex]
Combine 10i [tex]\sf\sqrt{3}[/tex] and -10i[tex]\sf\sqrt{3}[/tex] to get 0.
[tex] \sf \: 3+100 [/tex]
Add 3 and 100 to get 103.
[tex] = \boxed{ \bf \: 103}[/tex]
Attachment picture -> the answer shown by an online calculator (103 is the correct answer).
_______
Hope it helps.
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Related Questions
1 .what is the value of x？
2 .what is the value of y ？
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Answer:
ans of y is 3 because 12-3=9
what is the value of x
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Answer:
B or 70 because 2 lines are congruent so that means the angles are congruent so 180-40=140 and 140/2=70
11. Eve reads 25 pages per hour. Write an expression for the number of pages she reads
in h hours.
Answers
Answer:
25h = x
Step-by-step explanation:
If x is the variable for how many pages she reads in total, 25 multiplied by h (the number of hours) will give you the total pages read!
So;
25 x 1(total hours) = 25xh = 25h
NEED HELP ASAP PLEASE!
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Answer:
terms: 4mn, m, and 5
Constant is 5
Step-by-step explanation:
The constant is any number without a variable.
Terms can be a single number, variable alone or variable with a number.
A shadow 60 meters long is cast by a stone tower that is 32 meters tall. If a cedar tree close
by casts a shadow 15 meters long, how tall is the cedar tree?
Write your answer as a whole number or a decimal. Do not round.
Answers
Answer:
107
Step-by-step explanation:
you will add 60 + 32 +15 = 107 that is how i got the answer
please help me ASAP PLZPLZPLZ
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Answer:
Use desmos for accurate answers!!
Step-by-step explanation:
Help me- what number of units and where
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Just pick any point on the blue triangle and count how many you move to get to that same point on the red triangle.
Round to the nearest hundred.
Solve this problem, and identify the percent, amount, and base.
What percent of 50 is 20?
Round to the nearest hundred.
Round to the nearest hundred.
Answers
Answer: 15
Step-by-step explanation: 4+5=15
50 percent of 20 is 10
10 + 10 = 20
50% + 50% = 100%
which is the best estimated√43 to the nearest tenth
Answers
hope i helped!!!!
Do you need to factor 2x+5=0 to solve for x? Explain.
Answers
We can't factor
Solution
[tex]\\ \sf\longmapsto 2x+5=0[/tex]
Take 5 to right[tex]\\ \sf\longmapsto 2x=-5[/tex]
Take 2 to right..[tex]\\ \sf\longmapsto x=\dfrac{-5}{2}[/tex]
Answer:
No u don't, x = - 5/2
Step-by-step explanation:
Well first of all, it's a linear equation, and the x is not powered, as in the x is not like x square or anything like that
find the slope and y intercept of 5x-2y=-4
Answers
Answer:
Slope=2.5
Step-by-step explanation:
5x-2y=-4
-2y=-5x-4
y=2.5x+2
Evaluate the function.
f(x) = 2x2
Find f(-3)
Answers
because f(x) is y=2*2=4
Answer:
Step-by-step explanation:
You have to understand two things about this question.
f(x) is a relative of y. So maybe it would help you if you wrote y = 2x^2The second thing you have to understand is when you see a number used instead of the x, that number goes into every x on the right.f(-3) = 2(-3)^2
f(-3) = 2 * 9
f(-3) = 18
Remember that (-3) ^2 = -3 * - 3 = 9 a positive.
Find the unit rate. 55.9 meters in 13 seconds. Please help ASAP!
Answers
Answer:
4.3 meters per second
Step-by-step explanation:
55.9 meters ÷ 13 seconds
We want a unit rate where
1 is in the denominator,
so we divide top and bottom by 13
What is the length of the toy truck in centimeters?
Use the ruler to measure the length of the truck. Click the Ruler button
below. Length
Answers
Answer:
The toy fire truck is 5 centimeters long. The toy fire truck is about 2 inches long. It takes fewer inches than centimeters to measure the fire truck. An inch is longer than a centimeter, so you need fewer of them to measure an object
Solve for y
(y-k)h=c
Answers
Answer:
Explanation:
(y-k)h=c
yh-kh=c
yh=c+kh
y=c+kh/h
y=c+k
Name the angle adjacent to
Answers
Answer:
∠DBC
Step-by-step explanation:
Since ∠ABD shares the same vertex and side with ∠DBC, then they are adjacent angles.
Angel AFB is adjacent to Angel BFC
can someone help me please?
Answers
16x -4 = 28
Add 4 to both sides:
16x = 32
Divide both sides by 16:
X = 2
Answer:
2
Step-by-step explanation:
16x-4=28
16x=32
x=32/16
=2
Perform the indicated operations. Write the answer in standard form, a+bi.
(9 + 2i)(9 - 2i)
Answers
Answer:
It can't be expressed in that form
Step-by-step explanation:
From difference of two squares:
[tex]{ \boxed{(a + b)(a - b) = ( {a}^{2} - {b}^{2} )}}[/tex]
a » 9
b » 2i
[tex](9 + 2i)(9 - 2i) = \{ {(9)}^{2} - {(2i)}^{2} \} \\ \\ = (81 - 4 {i}^{2} )[/tex]
but i² is -1 [ complex numbers ]
[tex] = \{81 - 4( - 1) \} \\ = 81 + 4 \\ = 85[/tex]
Answer:
[tex](9 + 2i)(9 - 2i) \: \\ this \: can \: be \: wrtten \: as \: \\ {9}^{2} - {2i}^{2} = 81 - 4 \times - 1 \\ = 81 + 4 = 85 \\ then \: 85 + 0i \\ thank \: you[/tex]
Solve for x:
A. x = 1
B. x = 30
C. x = 0
D. x = 10
Answers
Answer:
TURS is parallelogram => TS=UR <=> 2x + 15 = x + 15
=> x = 0
the answer is C
Step-by-step explanation:
On a number line, point S is located at -3 and point T is located at 9. What is the location of point R on ST given that the ratio of SR to RT is 3:4
A) 27/7
B) 2 1/4
C) 15/7
D) 1 1/4
Answers
Answer:
Im pretty sure it would be C
Step-by-step explanation:
The location of R on the number line will be 15/7 so option (C) will be correct.
What is a number line?In mathematics, a number line is a straight line containing numbers arranged at equal segments or periods throughout its duration.
In another word, a number line is basically a line in which infinite numbers have been written in ascending order or increasing order.
A horizontal number line is the most common representation and can be extended infinitely in any direction.
Distance from S to T = 3 + 9 = 12
So,
SR + RT = 12
And given,
SR/RT = 3/4 ⇒ SR = (3/4)RT
By substitution,
(3/4)RT + RT = 12
RT ( 7/4) = 12
RT = 48/7
Now the location of point R ⇒
OT - RT = 9 - 48/7 = 15/7
Hence "The location of R on the number line will be 15/7".
To learn more about the number line,
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What is the simplest form of 56\92?
28/46
16/27
9/16
14/23
Answers
Where is point M on the transformed triangle? Please help ASAP! I will give you brainlist! I’m in a hurry! I have a test!
Answers
Answer:
plzz inbox me dear I'm feeling alone
Help me please everyone;-;
Answers
Answer:
x - 4
Step-by-step explanation:
[tex] \sf \bigg( \dfrac{ {x}^{4} }{ {x}^{3} } \bigg) - 4[/tex]
[tex] \sf \bull \dfrac{{a}^{m} }{ {a}^{n} } = {a}^{m - n} [/tex]
[tex] \sf \: {x}^{4 - 3} - 4[/tex]
[tex] \sf{x}^{1} - 4[/tex]
[tex] \sf \: x - 4[/tex]
Step-by-step explanation:
[tex]( \frac{ {x}^{4} }{ {x}^{3} } ) ^{ - 4 } \\ ( {x}^{4 - 3} ) ^{ - 4} \\ (x ^{1} ) ^{ - 4} \\ x ^{1 \times - 4} \\ x ^{ - 4} [/tex]
I need help
Given the following functions:
f(x) = x^2
g(x) = x - 3
Find the composition of the two functions and show your process:
f(g(x))
Answers
Answer:
[tex] f(x) = {x}^{2} \\ g(x) = x - 3\\ \\ f(g(x))(x) = {(x - 3)}^{2} \\ = {x}^{2} - 6x + 9[/tex]
I hope I helped you^_^
13. You play a game where you score -3 points on the first 5 turns. What is your score after those 5 turns?
Answers
I think its 3 because you say we score 3 points on the first 5 turns then you say what is your score after those five turns.
Mr Patel drew figure A and its image figure k on the grid Amelia says figure k is a rotation of figure A Kareem says it is a reflection can both students be correct explain
Answers
Transforming figure A into k requires some methods. Therefore, both reflection and rotation could be applied. Thus both students are right.
Rigid transformation is a method required in resizing or changing the orientation of a given shape. The types are: translation, reflection, rotation and dilation.
Considering figure A and its image k given in the question, transformation has occurred. Reflection is the process of flipping a given figure about a reference line or a point. Thus Kareem is right if A is turned over the line joining A and k.
Secondly, rotation implies turning a given shape through a certain angle to form its image. Thus if figure A is turned clockwise or counterclockwise about the mid point of the line joining A and k, then Amelia is right.
It can be said that both students could be right.
Visit: https://brainly.com/question/16087635
Identify the terms as like or unlike.
6r, - 11r²
A. The terms are like terms.
B. The terms are unlike terms.
Answers
Answer:
B
Step-by-step explanation:
6r, - 11r²
B, it is an unlike term
Simplify 5[(3 + 10 ) . 2 -8 +10
Answers
Answer:
132
Step-by-step explanation:
[tex]5(3 + 10) \times 2 - 8 + 10[/tex]
[tex]5 \times 13 \times 2 - 8 + 10[/tex]
[tex]130 - 8 + 10[/tex]
[tex] = 132[/tex]
can someone please help me
Answers
Answer:
D. 10x + 8y -12
Step-by-step explanation:
-6x - 12 + 8y + 16x
-6x + 16x -12 + 8y
10x + 8y - 12
Answer:
[tex] - 6x + 16x + 8y - 12 \\ 10x + 8y - 12[/tex]
D. 10x+ 8y-12
letter d is the answer
oxygen is the gas we breathe in . it can be separated from the air . it boils at - 219C and freezes at - 183 C.
A: in which state is oxygen, at: İ) 0 8C ? İİ)-200 C ?
B: how would you turn oxygen gas into solid oxgyen ?
Answers
Oxygen gas can be converted to solid, by the following two steps: By cooling or decreasing the temperature below the boiling point(-183°C) of oxygen
What are boiling and freezing temperature?The temperature at which the pressure of the vapour phase equals the atmospheric pressure is known as the boiling point.
The phase transition of a material from a liquid state to a solid state is referred to as freezing. This occurrence is known as a phase transition, which occurs when a material changes from one state of matter to another.
Given, oxygen is the gas we breathe . It can be separated from the . it boils at - 219C and freezes at - 183 C.
For in which state is oxygen, at:-200 C
Since, -200 falls between -219 and -183
Oxygen will at its liquid state at -200c temperature.
For to turn oxygen into solid State,
Oxygen gas can be converted to solid, by the following two steps: By cooling or decreasing the temperature below the boiling point(-183°C) of oxygen. This will cause the steam or gas of oxygen to condense into liquid oxygen. This process of conversion of a gas to its liquid state is called condensation.
Therefore, at -200 oxygen will at its liquid state.
Learn more about boiling and freezing temperature here:
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