Answer:
80
Step-by-step explanation:
20% of 400 is
= 20/100 * 400
= 80
Simplify the expression to a + bi form: (10 + 6i)(- 2 - 4i)
[tex] \Large{\boxed{\sf (10 + 6i)(-2 - 4i) = 4 - 52i}} [/tex]
[tex] \\ [/tex]
Explanation:To find the algebraic form, also called 'a + bi form', of the given complex number, we will have to expand its expression using FOIL method.
[tex] \\ [/tex]
[tex] \Large{ \sf \: \underline{FOIL \: method \text{:}}} \\ \\ \Large{\boxed{\sf (A + B)(C + D) = AC + AD + BC + BD}} [/tex]
[tex] \\ [/tex]
Let's identify our coefficients and expand the given expression:
[tex] \sf (\underbrace{\sf 10}_{A} + \overbrace{\sf 6i}^{B})(\underbrace{\sf -2}_{C} \overbrace{\sf -4i}^{D}) = 10 \times (-2) + 10 \times (-4i) + 6i \times (-2) + 6i \times (-4i) \\ \\ \\ \sf = -20 - 40i - 12i - 24i^2 = -20 - 52i - 24i^2 [/tex]
[tex] \\ [/tex]
In the complex number system, i² = -1. Therefore, our final answer is:
[tex] \sf (10 + 6i)(- 2 - 4i) = -20 - 52i - 24(-1)= \boxed{\boxed{\sf 4 - 52i}} [/tex]
[tex] \\ \\ [/tex]
▪️Learn more about the algebraic form of a complex number here:
↣https://brainly.com/question/25633236
v∆ABC is translated 6 units up and 3 units left to create ∆A'B'C'.
if vertex A is at (-1, 2) and vertex B is at (1, 5), then vertex A' is at and vertex B is at
Answer:
see explanation
Step-by-step explanation:
A translation of 6 units up means adding 6 to the y- coordinate
A translation of 3 units left means subtracting 3 from the x- coordinate
The translation rule is (x, y ) → (x - 3, y + 6 ) , then
A (- 1, 2 ) → A' (- 1 - 3, 2 + 6 ) → A' (- 4, 8 )
B (1, 5 ) → B' (1 - 3, 5 + 6 ) → B' (- 2, 11 )
ASAP please!!!
Triangle ABC has angle measures as shown show work.complete sentence
a. What is the value of x?
b. What is the measure of angle CAB?
d. When these 3 interior angles of a triangle are added together, what does it equal?
Step-by-step explanation:
The interior angles of a triangle add up to 180 degrees.
a.
90 + 2x + (3x - 20) = 180
90 + 2x + 3x - 20 = 180
70 + 5x = 180
5x = 110
x = 22
b.
2(22) = 44
c.
The interior angles of a triangle add up to 180 degrees.
please give me a brainliest answer
4) Ten more than number is 62.
Answer:
52
Step-by-step explanation:
62-10
Suppose we want to choose 2 letters, without replacement, from the 4 letters A, B, C, and D.
Answer:
letter A
Step-by-step explanation:
because that's my favorite letter
A linear function has a slope of 8/3 and passes through the point (0,5). What is the equation of the line?
This problem already gave us the slope and y-intercept, so all that's left to do is plug those two values into slope-intercept form.
Slope-Intercept Form: y = mx + b
---m is the slope
---b is the y-intercept
y = 8/3x + 5
Hope this helps!! :)
y = 8/3x + 5
hope this helps !! :)
PLEASE HELPPP I DONT UNDERSTAND ITTT
Answer:
-i
Step-by-step explanation:
[tex]i^{2}[/tex]=-1,[tex]i^{3}[/tex]=[tex]i^{2}[/tex]*i=-i
HEY THERE!! CORRECT ANSWER+EXPLANATION SHALL BE MARKED BRAINLIEST+38POINTS
Thanks xx)
Answer:
Answers - d and e
Step-by-step explanation:
A surd is basically an irrational number, or a number that is not a whole number. (Surd examples - 1.2938, 5.3108)
The square root of 15 is between 3 and 4 (not a whole number) and the square root of 30 is between 5 and 6 (not a whole number)
hope this helps
Answer:
Claiming points again since all these answers are right, thank you yet again.
Step-by-step explanation:
⏁⊑⏃⋏☍ ⊬⍜⎍ ⎎⍜⍀ ⏁⊑⟒ ⌿⍜⟟⋏⏁⌇ ⎅⟒⏃⍀ ⎎⍀⟟⟒⋏⎅, ⟟ ⏃⋔ ⎎⍜⍀⟒⎐⟒⍀ ⟟⋏ ⊬⍜⎍⍀ ⎅⟒⏚⏁.
SOLVE FOR X ILL GIVE BRAINILEST
Answer:
x = -4
Explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Answer:
x = -4
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
[tex](-2)(3x)+(-2)(-4)-x-3=33[/tex] [tex]-6x +8 - x - 3 = 33[/tex] [tex](-6x-x)+(8-3)=33[/tex] [tex]-7x + 5 = 33[/tex]Step 2: Subtract 5 from both sides.
[tex]-7x + 5 - 5 = 33 - 5[/tex] [tex]-7x = 28[/tex]Step 3: Divide both sides by -7.
[tex]\frac{-7x}{-7} =\frac{28}{-7}[/tex] [tex]x = -4[/tex]Step 4: Check if solution is correct.
[tex]-2(3(-4)-4)- (-4)-3=33[/tex] [tex]-2(-12-4)+4-3=33[/tex] [tex](-2)(-12)+(-2)(-4)+4-3=33[/tex] [tex]24 + 8 + 4 - 3 = 33[/tex] [tex]32 + 4 - 3 = 33[/tex] [tex]36 - 3 = 33[/tex] [tex]33 = 33[/tex]Therefore, x = -4.
please help me i dont know what i am doing
Answer:
answer is 1.2590Step-by-step explanation:i hope its help you
Is head circumference suitable for a bivariate study?
you jog 3 miles in 30 minutes. At that rate, how long will it take you to jog 6 miles
Answer:
1 hour
Step-by-step explanation:
am i right
Riley has r red peppers and 51 green peppers. Write an expression that shows how many peppers Riley has.
Answer:
r+51 peppers
Step-by-step explanation:
Wanda increased her Carbohydrate intake from 250 grams a day to 415 grams a day. By what percentage did Wanda increase the amount of carbs she eats daily? *
Answer: roughly 40 percent
brainliest !!!
The cost of making a cake is $5. the Baker wants to make a profit of $10 per cake and the cake is to be cut into 30 pieces, what is the selling price of each piece?
Answer:.
Step-by-step explanation:
I believe the answer is 840, but need the work shown. Help my friend out!
Answer:
A
Step-by-step explanation:
help! please !!!!!!!!!!! lots of it
Answer:
Equilateral triangle
Step-by-step explanation:
All the angles are equal. So, it is and equilateral triangle and each angle is 60
which one? A? B? C? or D? help me pleaseee
Answer:
I'm pretty sure it's C I may be wrong though
Step-by-step explanation:
5x-10=20
Would the answer be 6
________
[tex] \: [/tex]
5x - 10 = 20
5x = 20 + 10
5x = 30
x = 30 ÷ 5
x = 6✔
(x+6)(−x+1)=0
least to greatest
Answer:
0=(-x+1)(x+6)
Step-by-step explanation:
can anybody give me solving steps?
Answer:
angle relationship: same-side interior
value of x: 40
Step-by-step explanation:
the horizontal lines are parallel and the vertical line is the transversal, so 3x+x+20=180. combine the x's and subtract 20 from both sides to get 4x=160. then divide both sides by 4 to get x=40.
Consider the following graph of a quadratic function.
Part A: How can you quickly determine the intervals with the greatest rate of change by making observations from the graph?
Part B: Which intervals have the greatest rate of change?
Part C: Which intervals have the least rate of change?
Part D: Name two intervals that have equal rates of change.
A graph can increase or decrease at an interval or several intervals
The interval with the longest curve or line represents the greatest change.The intervals with the greatest rate of change are ab and deThe intervals with the least rate of change are bc and cdThe intervals with the equal rates of change are ab and dePart A: How to determine the longest interval
The longest interval will have a great change in the y-values, and a small change in the x-values.
An instance of such interval is interval ab
Part B: Intervals with the greatest rate
Intervals ab and de have equal rates, and they cover the same vertical and horizontal distances, as described in (a) above.
Hence, intervals ab and de have the greatest rate of change
Part C: Intervals with the least rate
Intervals bc and cd have equal rates, and they cover the same vertical and horizontal distances,
Hence, intervals ab and de have the least rate of change
Part D: Intervals with the equal rate
As said in (b) and (c),
Intervals ab and de have equal ratesIntervals bc and cd have equal ratesRead more about intervals and rates at:
https://brainly.com/question/23483858
What is x^2-4+4? Thanks!
Answer:
(x-2)(x-2) or (x-2)^2
Step-by-step explanation:
Hope this helps!
guys pls help me!!!!!!
Answer:
126°
Step-by-step explanation:
1. We know that 54 degrees and its adjacent are a linear pair, meaning that they add up to 180 degrees. To find the measure of the adjacent angle, we subtract 54 from 180.
[tex]180 - 54[/tex] [tex]126[/tex]2. Now, we know that adjacent of 54 is 126. Also, we know that [tex]l[/tex] ║ [tex]m[/tex] ║ n, and x and 126 degrees are corresponding angles. Corresponding angles are congruent within angle measures, so x = 126 degrees.
What is the slope of the line on the graph?
Enter your answer in the box.
Please help me!
Answer:
6
Step-by-step explanation:
We can use the points on the line to find the slope
(0,-1) and (1,5)
Using the slope formula
m = ( y2-y1)/(x2-x1)
= (5 - -1)/(1-0)
= (5+1)/(1-0)
= 6/1
= 6
Answer:
m = 6 units
Step-by-step explanation:
To get from point (0, -1) to point (1, 5) that are on the line we have to go up 6 units and 1 unit to the right
slope = rise /run = 6/ 1 = 6
Can y’all please help me I don’t get it
Answer:
C- 10+x=14
Step-by-step explanation:
A hiker wants to determine the height of a tree. She measures the tree shadows to be 17.1 m long her own shadow at the same time is 1.8 m long the hiker is 1.7 m tall how tall is the tree
x/17.1 = 1.7/1.8
x = 17.1*1.7 /1.8
Height of tree = 16.15 m
What do all similar circles have in common?
Answer:
Explanations (4) Similarity is a quality of scaling: two shapes are similar if you can scale one to be like the other, like these triangles ABC and DEF. Since all circles are of the same shape (they only vary by size), any circle can be scaled to form any other circle. Thus, all circles are similar!
Step-by-step explanation:
Welcome
PLEASE HURRY 45 points
Alexei writes the power regression equation y = 2.5x^1.13 to model the time, in minutes, it takes him to complete level x
of a video game. Based on the regression equation, approximately how many minutes will it take him to complete level
4 of the video game?
A 10
B 11
C 12
D 13
Answer\
C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Simplify: 2k– 3k+ 3k
Step-by-step explanation:
2k - (3k - 3k) = 2k
please give me a brainliest answer
Answer:
2k
Step-by-step explanation:
Because all the values in our equation have the same variable, k, we can simply combine them.
We can begin with the first part of the equation:
2k - 3k
As you can see, we have to subtract, so 2 - 3 = -1, therefore, our answer right now is :
-1k, or -k
Now, we add on our other part of the equation:
-1k + 3k
We have to add now, so -1 + 3, which is the same as 3 - 1, equal 2. So, our most simplified form of this number sentence is:
2k
Hope this helps :)