9514 1404 393
Answer:
2 1/2
Step-by-step explanation:
1200/480 = (240·5)/(240·2) = 5/2 = (4/2) +(1/2) = 2 1/2
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
Solve for the variables and show work please
Answer:
e=30
k=15/2
h=90
Step-by-step explanation:
3e=60
e=30
30+4k=60
4k=30
k=15/2
15/2+2h=30
2h=45/2
h=90
Find the missing length in the similar triangles.
Answer:
12/4=x/3
x=9
.........
Answer: x = 9
Step-by-step explanation:
If you multiplied by 3 in the right triangle
5(3) =15
4(3) = 12
and x = 3(3) = 9
please give me a brainliest answer
Factor the coefficient from 1.5a - 4.5
The answer is 1.5(a -3)
(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.
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:
⏁⊑⏃⋏☍ ⊬⍜⎍ ⎎⍜⍀ ⏁⊑⟒ ⌿⍜⟟⋏⏁⌇ ⎅⟒⏃⍀ ⎎⍀⟟⟒⋏⎅, ⟟ ⏃⋔ ⎎⍜⍀⟒⎐⟒⍀ ⟟⋏ ⊬⍜⎍⍀ ⎅⟒⏚⏁.
guys pls help me!!!!!!!
Answer:
n=27
Step-by-step explanation:
(n+6)° + (2n+5)° +90° = 180°
3n+9=90
3n=81
n=27
Sorry if I did it wrong
how to find the equation of a line that is parallel and passes through a point
Answer:
Step-by-step explanation:
Parallel line have the same slope. Put the reference line is y=mx+b format. m will be the slope. A parallel line must have the same m. Example:
y=2x+5 has a slope of 2 and a y-intercept of 5 (the value of y when x is 0). Any line witrh the same slope will be parallel. So with can write y=2x+b, where we'll change the y-interecpt so the the lines don't overlap. Once we know the parallel line must be y = 2x+b, we can enter the known point, e.g., (3,14), and calculate b:
y=2x+b
14=2*3+b
14=6+b
b=8
The parallel line to y=2x+5 is y=2x+8: It is parallel and goes through the point (3,14).
4) Ten more than number is 62.
Answer:
52
Step-by-step explanation:
62-10
WILL MARK BRAINLIEST
Translate into expression
One-half the difference of thrice a number and four
Answer:
Let the number be x
2x-5=1/2(3x-3)
2(2x-5)=3x-3
4x-10=3x-3
4x-3x=-3+10
x=7
I don't know what I'm am doing....
Find the slope of the line that goes through the given points. (2,2) and (3,2)
Answer:
0
Step-by-step explanation:
We can use the slope formula to find the slope
m = ( y2-y1)/(x2-x1)
= ( 2-2)/(3-2)
= 0/1
= 0
How do i solve this???
PLSSS HELP THIS IS HARD ANYONE
Answer:
Option D
Step-by-step explanation:
f(-1,3) = (3-2 , 2*(-1) = (1, -2)
f(-3,5) = (5-2 , 2*(-3) ) = (3, -6)
f(-1,0) = (0-2 , 2*(-1) = (-2, -2)
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 )
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:
Pieter wrote and solved an equation that models the number of hours it takes to dig a well to a level of 72 feet below sea level.
7h – 5(3h – 8) = –72
Which statement is true about Pieter’s solution?
It cannot be a fraction or decimal because the depth of the well is a whole number.
It must be a positive number since it represents a number of hours.
It must be a negative number because the depth is below sea level.
It cannot be greater than –72 because that is the depth of the well.
Answer:
The answer is B or It must be a positive number since it represents a number of hours.
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✔
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
HELP!!!
Jacob and Paul are playing a game of cards. After the first round, Jacob said that Paul's score would be twice his own score if he earned 7 more points.
Paul responded to Jacob by telling him his score was only 6 points higher then Jacobs.
PART A. write a system of equations to represent each of the boys statements. Be sure to specify what your variables represent.
PART B. If they both are correct. How many points did each if the boys score?
Answer:
A. y=x2 - 7
y=x + 6
B. 7
Answer:
A.) 2x = y + 7
y = x + 6
The variable "x" would represent Jacob's score and the variable "y" would represent Paul's score in each equation. In the first equation, 2x would represent Jacob's score multiplied by 2, and 7 would represent the amount of points needed in order for Paul to have double Jacob's score. In the second equation, 6 would represent the amount of points needed in order for Jacob's score to be equal to Paul's score.
B.) They are both correct so Jacob's score is 13 points and Paul's is 19.
6 + 7 = 13 (the difference between scores in both equations)
6 would represent the amount that Paul is above Jacob's score and 7 would represent the amount that Paul would have to score to get two times Jacob's score. So, this shows that Paul would have 26 points if he had double the amount of Jacob's score and 26 ÷ 2 = 13.
Hope This Helps!
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.
The dimension of a mural pointed on the wall of a school is 10 ft by 22 ft. the art club wants to paint a new mural that is x feet longer and x feet wider. Find the new dimensions of the new mural with an area of 540 square feet
Answer:
18 ft and 30 ftStep-by-step explanation:
The new dimensions will be:
10 + x and 22 + xThe area is 540
Using area equation we get:
(10 + x)(22 + x) = 540x² + 32x + 220 = 540x² + 32x = 320x² + 2x*16 + 256 = 320 + 256(x + 16)² = 576x + 16 = √576 (Ignoring the negative root as the length is never negative)x + 16 = 24x = 8The new dimensions are:
10 + 8 = 18 ft and 22 + 8 = 30 ftA cuboid has
the total surface area 236 CM square if its length and height are 8 cm and 6 CM respectively ?what is the breath?
Answer:
i think its 24 may i please have brainliest i need it for my goal
Step-by-step explanation:
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
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:
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 !!!
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
I believe the answer is 840, but need the work shown. Help my friend out!
Answer:
A
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
I need help y’all pls I will give brainliest
Answer: (-2,-2)
Step-by-step explanation:
Start at finding the y-intercept(-3) then do rise over run with -2x
Rise over run is count up/down then left/right