Step-by-step explanation:
Given - 10 - 11i
1st requirement - conjugate
Z = X + Yi
Change the sign between x & yi to find the conjugate of a complex
number.
Z = 10 + 11i
Now multiply the conjugate & the 1st complex number
=10-11i × 10+11i
= (10 × 10)+ (10× 11i)+ (-11i × 10) + (-11i × 11i)
Recall that i = √-1
= 100 + 110i - 110i + (-(-(11 × 11))...since √-1 × √-1 = -1.
= 100 + 121
= 221.
x-2y=4 solve for y in standard form
Rearranging the question,
SOLVE FOR Y IN TERMS OF X:
x - 2y = 4
Move 2y to the other side
x=2y+4
Move 4 to the other side and flip the equation
2y=x-4
Divide both sides by two:
y=1/2x-2-Hunter
Answer:
y = 1/2x - 2
(You need to rearrange x-2y=4)
I NEED HELPP PLZ Which equation best represents the relationship shown in this graph?
y=−12x
y=−2x
y=12x
y = 2x
Answer:
y = 2x
the formula for linear equations are y = mx+c,
where m is the gradient,
and c is the y-intercept
to find m (the gradient):
1. pick to points on the graph (eg. -2,-4 and 2,4)
2 substitute the values into the formula for gradient y2-y1/x2-x1.
m = y2-y1/x1-x2
= -4 -4/-2-2
= -8/-4
= 2
to find c (y-intercept):
- the y-intercept is where the graph cuts the y axis
- in this graph, the y-intercept is 0
hence,
c = 0
substitute m = 2 and c = 0 to y = mx+c,
y = 2x + 0
y = 2x
hence, the equation that best represents the relationship shown in the graph is y = 2x.
Need number 9 please!
Are the two triangles similar? How do you know (What Theorem) S 9 и 6 U T V Your answer
Yes they are ;
SUT angle = WUV angle
&
[tex] \frac{SU}{WU} = \frac{TU}{VU} = \frac{ST}{VW} \\ [/tex]
The sum of two numbers is 11. The first number plus triple the second is 25. Find these two
numbers.
Answer:
4 + 7 = 11
4 + 7(3) = 25
4 + 21 = 25
first number is 4, second is 7
I hope this helped!
Step-by-step explanation:
Find the area of the circle to the nearest whole number, if necessary!
Answer:
The circle has an area of about 1385 square mm.
Step-by-step explanation:
Let's recall that circles have an area that can be found with the following formula:
[tex]A=\pi r^{2}[/tex]
where r is the radius of the circle.
Now, focus your eyes on the circle. We are shown that the diameter of this circle is 42 mm, but we only want the radius. Since the radius is half the diameter, the radius is 21 mm. Now, we can solve for the area of the circle.
[tex]A=\pi (21)^2\\A=441\pi \\A=1385.44236...[/tex]
So, to the nearest whole number, the area of the circle is 1385 square mm.
Evaluate 4x^2 -3x for x=-4
Answer:
Step-by-step explanation:
4x^2 -3x for x = -4
4(-4)^2 - 3(-4)
4 (16) - (-12)
64 + 12
76
Hope this helps!
Answer:
76
Step-by-step explanation:
It is easier to do x square first which gives you 16
Then do 16 times 4 which is 64
Then do x times -3 which is -12
Then do the sum 64-(-12)
which gives you the answer of 76
Hope This Helps
kali runs 10 laps around a track each day. Each lap around the track is 400 meters. How many will it take kali to run a total of 12 kilometers?
Answer:
3 days
Step-by-step explanation:
Kali runs 10 laps around a track each day, and each lap is 400 meters. So, the first step would be:
10 • 400 = 4,000
That means Kali runs 4,000 meters each day.
Now, there are 1,000 meters in 1 kilometer. This means he runs 4 kilometers each day, and we're trying to get to 12 kilometers.
The final step is to divide. 12/4 = 3
So, it would take 3 days for him to run a total of 12 kilometers.
Answer:
Kali will run 3 days
Step-by-step explanation: took quiz
PLEASE HELP ME QUICKKK, FIRST CORRECT PERSON GETS BRAINLIEST
The scatter plot shows the number of minutes people had to wait for service at a restaurant and the number of staff available at the time.
A line that models the data is given by the equation $$, where $$ represents the wait time, and represents the number of staff available.
The slope of the line is -1.62. What does this mean in this situation?
the time you have to wait per staff number.
Is a slope of 1.62 realistic in this context?
no because it is not a coordinate and there isn't any decimals in the wait time
The $$-intercept is $$. What does this mean in this situation?
it means there's more waiting time
Is a $$-intercept of $$ realistic in this context?
no because when you try to find it it goes off the graph and isnt calculable.
The slope of a linear regression is the rate of change of the line of the best fit
The interpretation of the slope is that the wait time per staff is 1.62 minutesThe slope value is realisticThe linear regression is given as:
y = -1.62x + 18
Where
y represents the wait timex represents the number of staffUsing the above representations, the slope means that the wait time per staff is 1.62 minutes
Also, the slope value is realistic because time can be measured in decimals
Read more about linear regressions at:
brainly.com/question/25987747
A tractor-trailer travels 205.296 miles in 3.12 hours . What is the speed at which the tractor-trailer in traveling?
Answer:
i think 66.5 miles per hour
Step-by-step explanation:
Answer:
205.295 miles divided by 3.12 hours = 65.8 miles per hour
Step-by-step explanation:
Sandeep visited Green Glen Apple Orchard yesterday. He picked a basket of fresh apples in the field. He also got 3 pounds of pre-picked apples at the farm stand because they were overripe and perfect for making applesauce. The farm charges $4 a pound for apples, regardless of whether they're fresh or pre-picked. Sandeep paid $30 in all
Answer:
4.5 pounds of fresh applesStep-by-step explanation:
Total weight of apples:
30/4 = 7.5 poundsThe weight of fresh apples:
7.5 - 3 = 4.5 poundsTotal Weight of Apples
[tex] \frac{30}{4}=7.5pounds [/tex]
Weight of Fresh Apples
[tex]7.5 - 3 = 3.5pounds[/tex]
Hope it helps youuuu :)
— llAdillDavid throws a bucket with an initial speed of 2 meters per second into a well that is 30 meters deep. When will the bucket hit the bottom of the well?
A. About 2.69 seconds
B. About 30 seconds
C. About 3.82 seconds
D. About 4.21 seconds
Answer: A
Applying the expression for speed, we found that the time taken for the bucket to hit the bottom of the well is 15 seconds
Speed, Distance, TimeGiven Data
Speed = 2 meters per second
Distance = 30 meters
Time = ??
We know that the expression for the relationship between speed, distance and time is given as
Speed = Distance/Time
substituting we have
2 = 30/t
cross multiplying
2t = 30
divide both sides by 2
t = 30/2
t = 15 seconds
Answer 15 seconds
Learn more about speed and distance here:
https://brainly.com/question/4931057
Find The Value Of x
[tex] \sf \: 5x = 25[/tex]
Thank You! :)
[tex] \: \: \: [/tex]
[tex] \sf \: x = \frac{25}{5} [/tex][tex] \: \: \: [/tex]
[tex]x = \cancel\frac{25}{5} [/tex][tex] \: \: \: [/tex]
[tex] \boxed{ \sf \orange{x = 5}}[/tex]The Value Of x Is 5.
Hope Helps~Answer:
x = 5
Step-by-step explanation:
5x = 25
x = 25/5
x = 5
Hope it helps ⚜
CAN SOMEONE HELP ME PLEASEREE
Answer:
a) 52
Step-by-step
49+52=101
which makes the equation true
101>100
51 will make it equal
53 and 54 its more than 52 that meants it wont be the smallest whole number
When a percentage of the smallest and largest values are deleted from a data set, the mean of the remaining data values is the _____ mean.
213 (2 significant figures)
Step-by-step explanation:
210
.................
Solve Polynomials for 9 and 10
Answer:
See below.
Step-by-step explanation:
(4x^2-3x^3)+(2x^2+4x^3)
6x^2-x^3
(-8x^2-2x+7)+(x^2-3x+2)
-7x^2-5x+9
-hope it helps
The solution set of the inequality 2x - y> 2 consists of all the points_?_ the line?
above; y = 2x - 2
below, y = 2x - 2
above; y = -2x + 2
below; y = -2x + 2
Answer:
The answer is below, y = 2x - 2
Step-by-step explanation:
2x - y > 2
-2x -2x
-y > 2 - 2x
/-1 / -1
y < -2 + 2x, also written as y < 2x - 2
This is where we got our answer: y = 2x - 2
*There is an invisible 1 before the variable (y)*
*When dividing an inequality with a negative number, the sign flips (from < to >, or from ≤ to ≥)*
I'm going to share a little tip:
< or ≤ = below the line
> or ≥ = above the line
Hope that helps
Rachel is going to rent a truck for one day. There are two companies she can choose from, and they have the following
prices,
Company A charges $79 and allows unlimited mileage.
Company B has an initial fee of S65 and charges an additional S0.70 for every mile driven
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer:
65 + .70(20)= 79 dollars
Step-by-step explanation:
65+0.70miles = Fee
this means she can drive 19 miles and she will still be below the price company A but as soon as she drives 20 miles company A and B will cost the same
please mark brainliest if u can i need 5 more :)
please help me i give you 30 points
x - 6 ( if x = 6)
Answer:
x - 6 = 0
Step-by-step explanation:
x - 6 = ?
If x = 6, then
6 - 6 = 0
Please help! Tell me which color and if you can please explain.
Answer:
Yellow
Step-by-step explanation:
y= -f(x) reflects over the x-axis which is what this graph shows. When you complete the factor of
-(x+3)(x-1)
Use the FOIL method to solve
(First, Outer, Inner, last) This will equal to the
y= -x^2-2x+3 as shown in the yellow box
“El producto de dos veces
un número y ocho”
Please help me whoever gets the answer right first will get brainliest
Answer:I believe its this
Step-by-step explanation:
you can see the step by step in the attached image as well as the result
the pdf format of your answer. Note: Any format different from pdf would not be graded and do not send your response to my email. Questions Answers 1. Two balls are drawn from a bag containing 3 red, 3 green and 4 black balls. Find the probability that : (a) both are red, (b) one is green and one is black, (c) both are of the same colour. (a) (b) (c) 2. Four cards are drawn from a pack of 52 cards. Determine the probability that (a) all are aces, (b) they are A, K, Q, J (c) they are of the same suit. (a) (b) (c) 3. In a class of 45 students, 25 students failed Maths, 20 students failed Physics, and 10 students failed both subjects. A student is selected at random. (a) If he failed Physics, find the probability that he failed in Maths. (b) If he failed Maths, find the probability that he failed in Physics. (c) Find the probability that he failed in Maths or Physics, but not both.
Answer:
a: 3/10 + 3/10 =6/10
b: 3/10 + 4/10 = 7/10
c:
What is the value of x
Answer:
x = 37
Step-by-step explanation:
74 and 2x are vertical angles so they are equal.
74 = 2x
x = 37
A coordinate plane with a line passing through the points (negative 4, negative 5) and (1, negative 1).
Write an equation in standard form of the line that is graphed. Then find the x- and y-intercepts.
The equation of the line in standard form is
.
The x-intercept is
.
The y-intercept is
.
Answer:
0.8x - y = -1.8, x-int = 2.25, y-int = -1.8
Step-by-step explanation:
(-4, -5) and (1, -1)
slope = [(-5) - (-1)] / [(-4) - 1] = -4 / -5 = 4/5 = 0.8
Let y = 0.8 x + b
Sub (-4, -5) into it
-5 = 0.8 * (-4) + b = -3.2 + b
b = -5 + 3.2 = -1.8
The equation is y = 0.8x - 1.8
standard form: 0.8x - y = -1.8
let y = 0, 0.8x - 1.8 = 0
x = 1.8/0.8 = 2.25 (x-intercept)
let x = 0, y = -1.8 (y-intercept)
What is the total surface area of this triangular prism?
Given :
A triangular prism .To Find :-
The total surface area of the prism .Solution :-
From the given figure we can see that the prism is made up of
2 triangular surfaces .3 rectangular surfaces .And the base and height of each triangle is ,
base = 7 inch height = 5 inchAnd the dimensions of each rectangle is ,
length = 13 inchbreadth = 6.1 inchTherefore , the Total surface area is ,
→ TSA = 2( area of each ∆) +3(area of each rectangle)
→ TSA = 2 ( 1/2 * 7 * 5)in.² + 3(13*6.1) in.²
→ TSA = 2 * 35/2 in.² + 3* 79.3 in.²
→ TSA = 35 in.² + 237.9 in.²
→ TSA = 272.9 ≈ 273 in.²
Hence the TSA of prism is 273 in.² .
I hope this helps.
I spent 22.50 on carinal rides that cost 1.25 each how many rides did i get
Answer:
18
Step-by-step explanation:
divide 22.50 by 1.25 to get the number of rides.
A tree is 39.6 feet tall. What is its height in meters? Use the following conversion: 1 meter is 3.3 feet
Answer:
12 m
Step-by-step explanation:
If 1 m = 3.3 feet, then,
1 feet = 1/3.3 m
So,
39.6 feet
= 39.6/3.3
Multiplying by 10....
= 396/33
= 12 m
Hope it helps ⚜