An additive identity for i, denoted e, is an element in i such that for any element i in i, e + i = i = i + e. Example: The formula is i + 0 = i = 0 + i.
The additive identity of (-10+4i) is (0+0i).
What is additive identity?Additive identity property states that when a number is added to zero will give the same number in result . “Zero” is called the identity element, If we add any complex number with zero, the resulting number will be the same complex number. It doesn't change the number and keeps its identity.
For the given situation,
The complex number is (-10+4i)
The general form of complex number is a+bi. The additive identity for complex number is 0+0i.
⇒ [tex](-10+4i)+(0+0i)=(-10+4i)[/tex]
Hence we can conclude that (0+0i) is the additive identity of (-10+4i).
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Select the correct answer from each drop-down menu.
April and Jasmine found the volume of the rectangular prism below.
5x8x6
April packed the rectangular prism with centimeter cubes to find the volume. She packed 4 layers of centimeter cubes. Each layer had 8 rows with 6 cubes in each row.
Jasmine multiplied the side lengths to find the volume.
One of the students made a mistake, and her work will result in an incorrect volume.
The student who made the mistake was
.April or Jasmine
Her mistake was
she did not multiply the correct numbers
she did not pack enough layers of centimeter cubes
she should have added the length sides
She packed too many centimeter cubes in each layer
The correct volume of the rectangular prism is cubic centimeters. 240 or 200 or 270
Answer:
AprilShe did not pack enough layers of centimeter cubes240 cubic centimetersStep-by-step explanation:
Dimensions of the prism is 5x8x6
April made a mistake, she packed 4 layers of unit cubes instead of 5 layers
Correct volume of the prism is:
5*8*6 = 240 cm³Correct answer choices:
AprilShe did not pack enough layers of centimeter cubes240 cubic centimetersIs (x + 5) a factor of f(x) = x3 − 4x2 + 3x + 7? Use either the remainder theorem or the factor theorem to explain your reasoning. This is worth 100 points. Will mark brainliest. Whatever you want. Please answer this.
Answer:
(x + 5) is not a factor of, [tex] f(x) = x^ 3 − 4x^2 + 3x + 7 [/tex]
Step-by-step explanation:
[tex] f(x) = x^ 3 − 4x^2 + 3x + 7 \\ \\ let \: x + 5 = 0 \\ \implies \: x = - 5 \\ \\ plug \: x = - 5 \: in \: f(x) \\ \\ f( - 5) = ( - 5)^ 3 − 4( - 5)^2 + 3( - 5) + 7 \\ \\ f( - 5) = - 125 − 4(25) - 3( 5) + 7 \\ \\ f( - 5) = - 125 − 100 - 15 + 7 \\ \\ f( - 5) =7 - 240 \\ \\ f( - 5) = - 233 \\ \\ \because \: f( - 5) \neq 0 \\ \implies \: remainder\: is\: not\: zero\\ \therefore \: (x + 5) \: is \: not \: a \: factor \: of \: \\ f(x) = x^ 3 − 4x^2 + 3x + 7 \\ [/tex]
This is the one that will decide my note, help once more please
Answer: x = 17
Step-by-step explanation:
180 - 94 = 86
So all the inside angles of a triangle = 180
180 - 86 - 60 = 34
34/2 = 17
Answer:
it's answer is 17
Step-by-step explanation:
we know exterior angle of a triangle is equal to the sum of two opposite interior angles. So,
2x + 60° = 94°
2x = 94° - 60°
2x = 34°
x = 34° /2
x = 17°
At a computer store, the package of the DVDs sell for $15 each. One customer buys $120 worth of the DVDs.
Write an equation to model the number of the packages of the DVDs the customer bought, and then solve the equation. Plus, I need help with question number 9. A and B of Solve Simple Equation Word Problem will be marked as brainliest if your answer fully completed with complete step-by-step explanation! :)
Answer:
The customer bought 8 DVDs for $120.00
Step-by-step explanation:
120*15=8 DVDS or as a ratio 8:1
sarah has a rope that is 36 feet long she is cutting it into 6 foot pieces to make jump ropes how many jump ropes can sarah make ?
Answer:
she can make 6 jump ropes
What do the words coefficient and constant mean in mathematics?
Answer:
Step-by-step explanation:
Coefficients are the numbers that come BEFORE a variable, just as 55 is in the term 55x. Constants are numbers in an equation that never change, unless you add them with another constant. For example, in the equation 34x+55=24, the constants are 55 and 24. The only way that either changes is by subtracting the 55 from the 24.
−3x^ 2 +6x+9=
factor
Answer:
the answer in factor form would be
-3(
Halp ;-; A florist is using 36 flowers to make 4 identical arrangements. How many flowers will be in each arrangement?
Math item stem image
CLEAR SUBMIT12 flowers
10 flowers
9 flowers
4 flowers
Yyhhjfffghjjgdrttyhhhftthvfrtgvfffgf
Answer: So the star equals 4 and the triangle equals 1
Step-by-step explanation:
Which of the following best describes an Extraneous Solution?
Answer:
An extraneous solution is a solution obtained through algebraic manipulations that is not a solution to the original equation.
Step-by-step explanation:
Will give crown help
Answer:
There are 5 spaces between point J and I
Point J is at (-7,-2)
Point I is at (-2,-2)
They have the same y value, but a difference of 5 in the x value. So, they are 5 units apart.
amanda had to pay sales tax on a new iphone case she purchased last week. The iphone case was 35.00 and she pid 2.45 in taxes, what percent of the original price did she pay in taxes?
HELP
Answer:
7%
Step-by-step explanation:
[tex]\frac{2.45}{35} = \frac{x}{100}[/tex]
[tex]2.45*100[/tex] and [tex]35x[/tex]
[tex]\frac{245}{35} = \frac{35x}{35}[/tex]
[tex]245/35=7[/tex]
Here is a list of ages (years) of children in a room
8,7,5,4,7,7,2
State the median
Answer:7
Step-by-step explanation:
To find the median you need to first put the number in order from least to greatest this would be 2, 4 ,5, 7, 7, 7, 8
next you have to find the number in the middle
That is your median, 7 is your median.
whats 9 + 10? if you get it right brainliest
Answer:
19.
Step-by-step explanation:
What is the probability that Mark and Bobby will both choose mushrooms?
Answer: choose mushrooms out of what?
Solve the following equation: -3 = 1 3/5 + m.
-2 3/5
-4 3/5
-4 2/5
-1 2/5
Answer:
-4 3/5
Step-by-step explanation:
I subtracted 1 3/5 from -3 and got -4 3/5. I also added 1 3/5 + -4 3/5 to check my work and it is correct.
Which is a solution to the equation 7g-2=47
Answer:
g=7
Step-by-step explanation:
7g-2=47
+2 +2
7g=49
÷7 ÷7
g=7
I don’t know how to do this
Answer:
the following points: (6,-1),(2,-4), and (-2,3)
Step-by-step explanation:
imagine that the y axis is a mirror. Everything that happens is reflected. So (1,2) becomes (-1,2) so your three points are (-6, -1),(-2,-4), and (2,3) when you reflect them, you get the following points: (6,-1),(2,-4), and (-2,3)
I WILL MARK BRAINLIEST!
A cylindrical well is 20 meters deep and has a diameter of 1.5 meters. Approximately how many cubic meters of soil were dug out to make the well? (Use π = 3.14.) (5 points)
11.78 cubic meters
35.33 cubic meters
121.20 cubic meters
141.30 cubic meters
Answer:
35.33
the drill use the volume formula for a cylinder then plug in the numbers
Please help! Divide. Write the quotient in lowest terms.
Evaluate x+y when x= −4/5 and y= 1/3. Write your answer as a fraction or mixed number in simplest form.
Answer:
-7/15
Step-by-step explanation:
=-4/5 + 1/3
=(-12+5)/15
=-7/15
Answer:
-7/15
Explanation:
x + y
-4/5 + 1/3
-12/15 + 5/15
= -7/15
What is the approximate area of the circle shown below?
A. 94 cm2
B. 11,310 cm2
C. 2827 cm2
D. 188 cm2
Please help
Answer:
Step-by-step explanation:
we have the diameter =60 cm, the radius is 60/2=30 cm
A circle is 3.14*r^2=2827 cm^2
Answer: C. 2827 cm2
Step-by-step explanation:
The area of a circle is calculated by pir^2; r = the radius
In the diagram, the diameter is provided. The radius is half of the diameter. 60/2 = 30, so the radius is 30 cm.
Plug these values into the formula
A = 3.14*30^2
A = 2827.43, which would round to 2827 cm2
EXPERTS OR ACES PLEASE ANSWER THIS FAST DUE IN 2 MIN 50 POINTS
Answer:
24 blocks
Step-by-step explanation:
b = 2(9) + 6b = 18 + 6b = 24the order of the surd 6 √2187 after simplification is
Answer:
[tex]n = 162[/tex]
Step-by-step explanation:
Given
[tex]6\sqrt{2187[/tex]
Required
Determine the order of the surd
If a surd is represented as [tex]n\sqrt{r[/tex], then the order of the surd is [tex]n[/tex]
[tex]6\sqrt{2187[/tex]
Express 2187 as [tex]3^6 * 3[/tex]
[tex]6\sqrt{2187} = 6\sqrt{3^6 * 3}[/tex]
Split the surd
[tex]6\sqrt{2187} = 6\sqrt{3^6} * \sqrt{3}[/tex]
Apply the following law of indices:
[tex]\sqrt{a} = a^{\frac{1}{2}}[/tex]
The expression becomes:
[tex]6\sqrt{2187} = 6 * 3^{\frac{6}{2}} * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 6 * 3^{3} * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 6 * 27 * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 162 * \sqrt{3}[/tex]
[tex]6\sqrt{2187} = 162 \sqrt{3}[/tex]
By comparing [tex]162 \sqrt{3}[/tex] to [tex]n\sqrt{r[/tex], we can say that:
[tex]n = 162[/tex]
[tex]r = 3[/tex]
Conclusively, the order of the surd is 162
HELP ASAP FOR BRAINLIEST
Answer: i am pretty sure its the first one
Step-by-step explanation:
i don't know for sure
The image point of A after a translation right 4 units and down 4 units is the point B(12, – 7). Determine the coordinates of the pre-image point A.
Answer:
(8, –3)Step-by-step explanation:
Translation right or left means change of the x-coordinate.
Translation up or down means change of the y-coordinate.
Translation right or up means adding.
Translation left or down means subtracting.
[tex]A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)[/tex]
HELP I WILL GIVE MANY THX AND BRAINLIST (it says high school but im in middle)
what is 5⁴ in expanded form
Answer:
5 * 5 * 5 * 5
Step-by-step explanation:
=625
(01.02 MC)Which of the following expressions shows how to rewrite 4 − 5 using the additive inverse and displays the expression correctly on a number line?
1.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 1.
2.The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 5.
3.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative 5.
4.The expression 4 minus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to 1.
Answer:
I think the answer is 1. The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from point 0 to 4. Another arrow points from 4 to negative. So the answer is A
hope this helps sorry if it wrong
pls let me now if right or wrong
The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1. Option A is correct.
A number line is defined as the number marked on the line calibrated into an equal number of units. For example -1, 0, 1, and so on.
Here,
4 + (- 5)
The expression 4 plus negative 5 is written on top. A number line from negative 10 to positive 10 is shown, with numbers labeled at intervals of 1. An arrow is shown from points 0 to 4. Another arrow points from 4 to negative 1.
Thus, option A is correct.
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what is the sum of (x - 8) - (2x + 2)
Answer:
the answer is 4
Answer:
[tex]-z-10[/tex]
Step-by-step explanation:
Solve.
−35x=18
−30
−1045
1045
30
Answer:
if you're trying to solve -35x= 18 .. then do the following
Step-by-step explanation:
x = -18 / 35
x= -0.5142857143
I'm guessing that b/c the answer is not an easy number that you probably are trying to do something else. .. ask again :)
Answer:
−30
Step-by-step explanation: