Point Q was rotated about the origin (0,0) by -45 degrees
Answers
Answer:
0,0
Step-by-step explanation:
The point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).
From the given graph, the coordinates of point Q are (-3, 5).
Rotating the co-ordinate axes through an angle of 45° in anti-clockwise direction is equivalent to rotating the point through an angle of -45° about origin.We will use rotation from complex numbers to solve this.
Let x + iy the new complex number
(-3+5i)[tex]e^{\frac{-\pi i}{4} }[/tex]
= (-3+5i)((1-i)/√2)
= (-3+5i)(1-i) ×1/√2
= (-3+5i+3i-5i²) ×1/√2
= (-3+8i+5) ×1/√2
= (2+8i) ×1/√2
= (2/√2 + 8i/√2)
= (√2 + 4√2i)
So, the coordinates are (√2, 4√2)
Therefore, the point Q was rotated about the origin (0,0) by -45 degrees, so the new coordinate point is (√2, 4√2).
Learn more about the rotation here:
brainly.com/question/1571997.
#SPJ4
Related Questions
Someone did something stupid in the other question
Answers
Answer:
[tex]m=-2[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASAlgebra I
Slope Formula (Rate of Change): [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Find points from graph.
Point (-1, 0)
Point (-3, 4)
Step 2: Find slope m
Substitute: [tex]m=\frac{4-0}{-3+1}[/tex]Subtract/Add: [tex]m=\frac{4}{-2}[/tex]Divide: [tex]m=-2[/tex]Answer: i see you got the answer already, but I was wondering if you could give me brainliest to help me level up. I would really appreciate it.
Step-by-step explanation:
Shane and Gemma share 35 sweetss in the ratio 1 : 4 Gemma eats 10 of her sweets and then gives Shane 1/2 of the sweets she has left. H ow many sweets does Shane have now?
Answers
Answer:
14 sweets
Step-by-step explanation:
5x+35
x=7
7*4=28
(28-10)/2=7
7+7=14
Please answer correctly !!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answers
Answer:
2.5
Step-by-step explanation:
Answer:
6 : 15 right? or do i have to simplify
Step-by-step explanation:
Veronica bought 20 bags of candy for a school dance. The first 5 bags cost $1.79 each. The rest of the bags cost $1.19 each.
How much did Veronica spend on candy?
A. 8.95
B. 17.90
C. 26.80
D. 35.80
Answers
Answer:
Your answer is C. 26.8
Step-by-step explanation:
5 × 1.79 = 8.95
15 × 1.19 = 17.85
8.95 + 17.85 = 26.8
Answer: C ($26.80)
Step-by-step explanation:
This is a multiplication problem.
The first 5 bags of candy cost $1.79 each, so we multiply the cost by the amount of bags that we bought for that price:
5 * 1.79 = $8.95
The rest of the bags cost $1.19 each, so we need to multiply this number by some value. To find this value, we need to know how many bags we have left. We already bought 5, and we bought a total of 20, so we need to buy:
20 - 5 = 15 bags
Multiplying the cost for the rest of the bags (1.19) by the amount of bags we need to buy still (15), we get:
15 * 1.19 = $17.85
Now we know what the cost of the first 5 bags (8.95), and we know the cost of the 15 other bags (17.85). To find the total amount of money Veronica spent, we can just add these two values together.
8.95 + 17.85 = $26.80
This total cost is shown in answer C, so that is the answer.
1 Find the area of the Circle below: Чcm
Answers
Answer:
A≈50.27
Or 16π
Step-by-step explanation:
Answer:
50.24cm
Step-by-step explanation:
[tex]x^2+8x+11=0[/tex]
Answers
Which expression can be used to determine 50% of 42? 42 minus 2 42 divided by 2 42 divided by 10 42 minus 10
Answers
Answer:
We know that 50% of 42 will be = 21
i.e. 50% of 42 = 50/100 = 21The correct answer should be: 42 divided by 2
Step-by-step explanation:
We know that 50% of 42 will be = 21
i.e. 50% of 42 = 50/100 = 21Also, when we divide 42 by 2, we get the answer 21.
i.e. 42/2 = 21Therefore, the correct answer should be: 42 divided by 2
Answer:The Answer is b
Step-by-step explanation: i did this the other guy can get brainlyest.
Have a nice day! :D
2 (5 – a) – 6 (2a + 3)
Answers
Answer: -14a - 8
Step-by-step explanation:
so basically... idek
A biologist determined that there were 42 oak trees in a 5-acre forest. How many oak trees would be expected on 40 acres of identical habitat?
Answers
Answer:
336
Step-by-step explanation:
Using arithmetic operation, the number of oak trees on the land which is of identical habitat would be 336.
Using the relation:
5 acres = 42 trees - - - - - (1)
40 acres = t - - - - - (2)
Cross multiply
5t = 42 × 40
5t = 1680
t = 1680 / 5
t = 336 oak trees
Therefore, the Number of oak trees would be 336
Learn more : https://brainly.com/question/18581754
how to do my homework in math
Answers
Answer:
By doing it
Step-by-step explanation:
LOL
Which equation is represented by the graph below?
Answers
Answer:
There is no graph, add a img
Step-by-step explanation:
How do I solve for x
Answers
22\10=(7x-1)\(3x+1)
66x+22=70x-10
4x-32=0
4x=32
X=8
ILL GIVE YOU BRAINLEST PLEASE THIS IS THE ONLY QUESTION I HAVENT ANSWER!
Answers
A and B
Both A and B, when simplified get -(1/6), because the others have either 0 or 2 negative signs, denoting a positive end result.
IMPORTANT!!!
Combine Like Terms. 2 + 3
a. 8x
b. 16x
c. 5x
5. Combine Like Terms. 9 + 4 + 4
a. 13x+4
b. 93x+2
c. 12x+4
Answers
please help me. i’ve posted this question 4 times in an hour with no response. i needed it 20 mins ago.
Answers
Answer:
answer is b
Step-by-step explanation:
I need help pllssss
Answers
Answer:
It is clear from the graph,
The value of x=-6 at y=0.Thus, x=-6 is the zero of g.
Step-by-step explanation:
A zero of the linear function 'g' on the graph of a linear function can be observed where the 'y-value' is zero.
In other words,
A point where the line tends to cross the x-axis is called the x-intercept.x-intercept can be observed by setting the y=0 and determining the value of x at y=0It is clear from the graph,
The value of x=-6 at y=0.Thus, x=-6 is the zero of g.
Carissa earns $450 per week for a 40 hour work week plus $16.83 per hour for each hour of overtime after 40 hours. Write an equation that would be used to determine her weekly wages where, W, is her wages and, V, is the number of overtime hours worked.
Answers
Answer:
W = 450 + 16.83V
Step-by-step explanation:
For 40 hours Carissa
earning = $450
earning for 1 hour of over time = $16.83
multiplying both side by V
earning for v hour of over time = $16.83*V = $16.83V
weekly wage(W) = earning for 40 hours + earning for V hour of over time
W = 450 + 16.83V
Thus equation will be as given below for weekly earning
The half-life of a substance is the amount of time it takes for half of the amount of substance to decay. The half-life of a pesticide is 2 years. Initially there are 500 grams of pesticide. How much pesticide is left after 10 years? Round to the nearest hundredth.
Answers
Answer:
15.625 grams
Step-by-step explanation:
The decay is First order reaction
The half life of the first order reaction is given by
T(1/2) = ㏑2/K
where K is the reaction constant for the first order reaction
T(1/2) = 2
2 = ln 2 /K
K = ln2/2
The equation of the first order reaction is given by
Kt = ln ([tex]\frac{Ro}{R}[/tex])
where
t = time = 10years
Ro = initial concentration
R = amount left after time t
upon substituting the values
[tex]\frac{ln2}{2}*10 = ln( \frac{500}{R})[/tex]
5ln2 = ln (500/R)
ln [tex]2^5[/tex] = ln (500/R) (a*lnb = ln[tex]b^a[/tex])
[tex]2^5 = 500/R[/tex]
R = 500/32 = 15.625grams
Therefore the amount of pesticide left after 10 years is 15.625grams
Can you please help me with this? the question is What is Andrew's mistake? and find the correct answer?
Answers
Answer:
there is no -1 it must be one so it is now 3/4 x 4/3=12/2=1
Step-by-step explanation:
Andrew did not do that,
So, (-3/4) / (4/3) becomes (-3/4) x (3/4)
The answer is -9/16.
After adding a tip, the total lunch cost was $32.24. What percentage tip did they give? Enter your answer to the nearest percentage. the original cost was 27.32
Answers
30 points :) please answer this question for me pleaseee its for homework
please answer it and dont just put a random answer ):
Answers
Answer:
boottom left middle left and top right
Step-by-step explanation:
Find the value of x
(8x-1) (4x+7)
Answers
Answer:
The value of x = 7
Step-by-step explanation:
Given the right triangle
Right angle = 90°α = (4x+7)°β = (8x-1)°We know that the sum of angles of a triangle is 180°.so
Right angle + α + β = 180°
90° + 4x+7 + 8x-1 = 180
Group like terms
[tex]4x+8x+90+7-1=180[/tex]
Add similar elements: :4x+8x=12x
[tex]12x+90+7-1=180[/tex]
[tex]12x+96=180[/tex]
[tex]12x=84[/tex]
Divide both sides by 12
[tex]\frac{12x}{12}=\frac{84}{12}[/tex]
[tex]x = 7[/tex]
Therefore, the value of x = 7
Please help me with this question
Answers
Answer:
120
Step-by-step explanation:
I NEED HELP NOW PLEASE
Which decimal represents the portion that is NOT shaded?
0.003
0.03
0.3
3.0
Write how u solved it
Answers
Answer:
0.3
Step-by-step explanation:
Answer:
3.0
Step-by-step explanation:
Here we have a rectangle split into ten parts with 7/10 shaded in blue. The question asks what decimal represents the portion, alright, let's go down the list.
0.003 is also known as 3 thousandths, meaning that we would need a thousand little squares as our figure. Clearly this isn't the case, so 0.003 is wrong.
0.03 is also known as 3 hundredths, meaning that we would need a hundred little squares as our figure, this also isn't the case, so 0.03 is wrong.
0.3 is known as 3 tenths, yes this could represent our figure, but it doesn't represent the finished portion, which would be 1.0, this means that only one part will be shaded in the figure we have now, leaving it to be wrong.
This leaves us with 3.0
10. What is the value of x in the solution to the system of equations?
x – 2y = 7
3x + 2y = 21
+/-
Answers
Solve for x in first equation:
x-2y=7
Add “2y” to both sides
x=2y+7
Put this in to second equation:
3(2y+7)+2y=21
Solve for y:
Distribute the 3 into the ()
6y+21+2y=21
Combine the like y terms
8y+21=21
Subtract 21 from both sides
8y=0
Divide by 8 on both sides
y=0
Put this into the first solved equation:
x=2(0)+7
Solve for x:
Multiple 2(0)
x=0+7
Add 0 and 7
x=7
So the value of x is positive 7.
PLEASE HELP!
I NEED BOTH PARTS!
Answers
Answer:
a) Yes agree
and b) (I'm not too sure about this one but I think..) By CPCT that is Corresponding parts of congruent triangles are equal/congruent theorem.
Step-by-step explanation:
I'll use this " [ " symbol for angle.
a) yes agreed ;
AB = CB (B is the midpoint of AC)
[ ABD = [ CBD = 90°
BD = BD (common side)
--> therefore by SAS criteria triangle ABD is congruent to triangle CBD.
and by CPCT .... AD = CD .
b) AD = CD (proven by CPCT)
...answer for b you're likely suppose to write it that way. so yeah hope this helps.
How do you do this ? Need some help ASAP!
Answers
Answer:
On what
Step-by-step explanation:
Answer fast plzzzzzzzzz
Answers
Answer:
its C
0.058
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
5 x 10^8 - 3.4 x 10^8 =
In Scientific notation PLS HELP
Answers
Answer:
[tex] 1.6 \times 10^8[/tex]
Step-by-step explanation:
[tex]5 \times 10^8 - 3.4 \times 10^8 \\ \\ =(5 - 3.4 ) \times 10^8 \\ \\ =1.6 \times 10^8[/tex]
There are 35 students in the drama club. 2 out of every 5 students in the club are boys.
How many students in the club are boys?
Answers
Answer: In the drama club there’s 14 boys
Step-by-step explanation:
35/5=7
7*2=14 boys
Answer:
14
Step-by-step explanation:
35 divided by 5=7
7times 2 =14