2i
−4
+3i
=
5
2
i
Step-by-step explanation:
i think it helps
Answer:
[tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i
Step-by-step explanation:
Assuming you mean
[tex]\frac{2i}{-4+3i}[/tex]
To simplify, rationalise the denominator
Multiply the numerator/ denominator by the conjugate of the denominator
The conjugate of - 4 + 3i is - 4 - 3i , then
= [tex]\frac{2i(-4-3i)}{(-4+3i)(-4-3i)}[/tex] ← expand numerator and denominator
= [tex]\frac{-8i-6i^2}{16-9i^2}[/tex] [ note that i² = - 1 ]
= [tex]\frac{-8i+6}{16+9}[/tex]
= [tex]\frac{6-8i}{25}[/tex]
= [tex]\frac{6}{25}[/tex] - [tex]\frac{8}{25}[/tex] i ← in standard form
Choose the equation that could be used to solve for the missing side.
HELP ME PLZZZZZ!!
the answer is C because Cos is adj/hyp. Since there is only one option that even has cos involved, it must be the correct answer.
Tomaz realized that the tip of a second hand on a clock rotates about the center of the clock. He watched the second hand rotate around the center of the clock for 15 seconds. Which describes the rotation he observed?
Answer: b
Step-by-step explanation: hope this helps
Solve the equation. 1/3a = -5
Answer:
The answer is a = -15
Step-by-step explanation:
1/3a = -5
3 × 1/3a = 3 × (-5)
a = 3 × (-5)
a = -3 × 5
Answer is a = -15
Answer:
a = 15
Step-by-step explanation:
Just answer
Simplify the following expression:
[tex]7x^{5}y^{3}(x^{5} y^{5} )[/tex]
solve it 7/10+2/3
pls explain
A.) ∠AZB and ∠BZD are a pair of supplementary angles.
B.) ∠DZB and ∠AZC are a pair of vertical angles.
C.) The value of x is 17.
D.) ∠AZC and ∠CZD are a pair of complementary angles.
Answer:
Statements A, C and D are true
Step-by-step explanation:
True statements:
A.) ∠AZB and ∠BZD are a pair of supplementary angles.
C.) The value of x is 17.
D.) ∠AZC and ∠CZD are a pair of complementary angles.
Matthew has been asked to determine the height of a tree. He measured the height from the ground to his eye and found that it was 5 feet. He used a protractor to measure the angle between the horizontal and his line of sight to the top of the tree. He found that angle to measure 70 degrees He also determined his distance from the tree and found that it measured 12 fect. Use the information to determine the height of the tree .
Answer:
Height of the tree is [tex]37.88[/tex] feet
Step-by-step explanation:
The height of the tree is equal to the sum of distance from ground level to eye level and distance between eye level to the top level of the tree.
Height of the tree [tex]= 5 + X[/tex]
[tex]tan \Theta =[/tex] Perpendicular / Base
[tex]tan\Theta = \frac{X}{12} \\X = 12 * tan70\\X= 12 * 2.74\\X = 32.88[/tex]
Total height of tree [tex]= 5 + X = 5 + 32.88 = 37.88[/tex] feet
2a.
Solve the quadratic equation with completing the square method 5x2 - 4x + 125 = 0
Answer:
There is No real solutions.
Step-by-step explanation:
Guided Practice
x
0
1
2
3
y
3
4
7
12
Write a function rule that best models the data in the table.
A.
y = 3x + 1
B.
y = x + 3
C.
y = x2 + 3
Answer:
Step-by-step explanation:
List all of the solutions.
x =
0 =
1 =
2 =
3 =
y =
3 =
4 =
7 =
12 =
i don’t know how to do this.
Answer:
c
Step-by-step explanation:
A hot air balloon is 70 m above the sea. Two buoys A and B are due East of the
balloon.
The angle of depression from the balloon to buoy A is 60°.
The angle of depression from the balloon to buoy B is 40°.
Calculate the distance AB. (Round to the nearest tenth.)
Answer:
Step-by-step explanation:
in the rough drawing i've included we want to find the distance of AC and BC and the subtract the shorter from the longer or
BC- AC = AB
does this strategy seem like a good one?
use the mnemonic SOH CAH TOA to remember how sin, cos, and tan, fit on a triangle
SOH Sin = Opp / Hyp
CAH Cos =Adj / Hyp
TOA Tan = Opp / Adj
where Opp = Opposite side, Adj = Adjacent side , and Hyp = Hypotenuse
we are given an angle and the Opposite side so we can use Tan , since that has the thing we want to find, and the things we know.
when AC is the Adj side it's
Tan(60) = 70 / Adj
Adj = 70 / Tan(60)
Adj = 40.4145
Dist. of AC = 40.4145 m
When BC is the Adj side it's
Tan(40) = 70 / Adj
Adj = 70/ Tan(40)
Adj = 83.42275
Dist. of BC = 83.42275
BC - AC = AB
83.45575 - 40.4145 =43.008
to the nearest tenth AB = 43.0 m
URGENT PLEASE HELP!!!! GIVING BRAINLIEST!! If you answer this correctly ill answer some of your questions you have posted! (29pts)
Answer:
answer is B
Step-by-step explanation:
I am in high school and I learned this a month ago anyways
Hong is driving on the freeway at a constant speed. He then speeds up to pass a truck. After passing the truck, he exits the freeway and slows down
Which expression is equivalent to the one below?
14(2x + 4)
Answer:
Step-by-step explanation:
14(2x+4)
14(2(x+2))
28(x+2) or
28x+56
Answer: 28x + 56 or 14(2x) + 14(4). (They are equivalent)
Step-by-step explanation:
Distribute 14 to both 2x and 4.
14(2x+4) = 14(2x) + 14(4)
=28x + 56
PLZ PLZ PLZ PLZ PLZ PLZ HELP I NEED HELP PLZZZZZZZZZ NO ONE HAS HELPED ME FOR AN HOUR 25 POINTS
The expression 2(4+v)+9v is simplified in several steps below.
For each step, choose the reason that best justifies it.
8+2v+9v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
8+11v
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
11v+8
commutative property of addition
associative property of addition
distributive property of addition
combining like terms
Answer:
C, D, A
Step-by-step explanation:
Distributive property
Combining like terms
Communitive property
PLS ANSWER ASAP WILL MARK BRAINLIEST!!
Select all that apply.
A direct variation equation is graphed. The point (6,4) is on the graph. Which of the following points are also on the
graph of the equation?
•(-6, -3)
•(-9, -6)
•(3, 2)
•(-12, 8)
Answer:
Below in bold.
Step-by-step explanation:
As its direct variation the graph is a straight line and passes through the origin (0,0) and the slope (y/x) is a constant.
The fraction (y/x) for any point will be a constant.
The fraction for (6, 4) is 4/6 = 2/3.
So also on the line we have:
(-9, -6) (because -6/-9 = 2/3).
and (3, 2).
A box of 35 Cowboy Crunch cookies costs $5.40. Matthew has a $2.25 off coupon. If Matthew uses his coupon, what will be the price per cookie?
9 cents per cookie
Subtract 2.25 from 5.40 and get 3.15 divide 3.15 by 35
Some one help pleaseeere
Answer:
m = 2/3, you were correct
Step-by-step explanation:
plot the point on a graph
calculate the rise by going up alongside the y axis
the rise is 2
calcualte the run it takes to get to the second point
the run is 3
m = rise/run = 2/3
m = 2/3
Plz mark as brainliest if correct! Have a nice day!!!
Find g−1(x) when g(x)=3/5x−9.
A) 5/3x+1/5
B)5/3x−1/9
C)5/3x+9
D)−3/5x+9
Please please someone help me!!! ill give brainliest this is 20 points pleeasee help
Answer:
F = - 20h + 450
Step-by-step explanation:
Since the relationship is linear then the function is of the form
F = ax + b
Calculate a using the slope formula
a = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 410) ) and (x₂, y₂ ) = (1, 430) ← 2 ordered pairs from the table
a = [tex]\frac{430-410}{1-2}[/tex] = - 20 , then
F = - 20h + b ← is the partial equation
To find b substitute any ordered pair from the table into the partial equation
Using (3, 390 ), then
390 = - 60 + b ⇒ b = 390 + 60 = 450
F = - 20h + 450 ← linear function
If the length of the segment AB is 5, and BC is 9, and CD is three, find the difference between the furthest and shortest possible distance of AD?
A: 12
B: 13
C: 14
D: 15
E: 16
9514 1404 393
Answer:
E. 16
Step-by-step explanation:
If the order of points on the line is ABCD, the distance between A and D is ...
AB +BC +CD = 5 + 9 + 3 = 17
If the order of points on the line is BADC, the distance between A and D is ...
BC -BA -DC = 9 -5 -3 = 1
Then the difference between the longest and shortest possible distances AD is ...
17 - 1 = 16 . . . . matches choice E
helllllllllllllllllllllllllllllp
Answer:
36,579.5180
Step-by-step explanationan:
Erza's bill for breakfast at a Restaurant was $98.85 . he left a 20% tip. what was the total cost if his breakfast, including tip?
Answer:
Step-by-step explanation: first you have to divide to get your answer
98.85/20%= $494.25 is ur answer
The verticals of the triangle shape are A (-2, 4) , B (-2,3) , and C (-5,2). If ABC is reflected across the line y = -1 to produce the image of A'B'C', What's the coordinate of B' after a reflection across the line y=-1?
Given:
The vertices of a triangle are A (-2, 4) , B (-2,3) , and C (-5,2).
Triangle ABC is reflected across the line y = -1 to produce the image of A'B'C'.
To find:
The coordinate of B' after a reflection across the line y=-1.
Solution:
If a figure is reflected across the line y=b, then
[tex](x,y)\to (x,-(y-b)+b)[/tex]
[tex](x,y)\to (x,-y+b+b)[/tex]
[tex](x,y)\to (x,2b-y)[/tex]
The given triangle ABC is reflected across the line y=-1. So, the rule of reflection is
[tex](x,y)\to (x,2(-1)-y)[/tex]
[tex](x,y)\to (x,-2-y)[/tex]
The coordinates of point B are (-2,3). So,
[tex]B(-2,3)\to B'(-2,-2-3)[/tex]
[tex]B(-2,3)\to B'(-2,-5)[/tex]
Therefore, the coordinates of point B' are (-2,-5).
What’s the answer to this problem?
Nicole has 18 nickels n and dimes d. If the value of her coins is $1.45, how many of each coin does she
have?
Answer:
19 nickel = .95
5 dimes = .50
Step-by-step explanation:
.95 + .50 = 1.45
A wheel on Ravi's bicycle is 0.5m in diameter. Ravi races the bicycle for 47m. How many times does the wheel turn as the bicycle travels this distance?
Use the value 3.14 for π. Round your answer to the nearest tenth. Do not round any intermediate steps.
Answer:
29.9 times or approximately 30 times
Step-by-step explanation:
circumference=[tex]\pi d[/tex]
3.14×0.5
=1.57
so, 47/1.57
=29.9363057325
what is the slope of the line if the equation is 5x-3y=9
Answer:
Slope = 5/3
Step-by-step explanation:
5x - 3y = 9
Write in slope y-intercept form: y = mx +b
-3y = -5x + 9
Divide the whole equation by (-3)
[tex]\frac{-3y}{-3}=\frac{-5x}{-3}+\frac{9}{-3}\\\\y =\frac{5}{3}x- 3[/tex]
Slope =5/3
help pls me , help pls
A line passes through the points (7,6) and (8,8) What is its equation in slope intercept form?
Answer:
y = 2x - 8Step-by-step explanation:
The slope: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{8-6}{8-7}=\dfrac21=2[/tex]
y = mx + b ← slope intercept form
(8, 8) ⇒ x = 8, y = 8
so:
8 = 2·8 + b
b = - 8
The equation: y = 2x - 8