Answer:
see explanation
Step-by-step explanation:
Under a counterclockwise rotation about the origin of 90°
a point (x, y ) → (- y, x )
The function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
What are coordinates?A coordinate system in geometry is a system that employs one or more integers, or coordinates, to define the position of points or other geometric components on a manifold such as Euclidean space.
When the given coordinate (x,y) are rotated rotated 90° counterclockwise about the origin, then the coordinates become (- y, x ).
R(x, y )= (- y, x )
Therefore, the function that represents the rotation of coordination by 90° counterclockwise about the origin is R(x, y )= (- y, x ).
Learn more about Coordinates:
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Simplify this expression (square root 2+square root 3)(square root 5-square root 7)
Answer:
√10−√14+√15−√21
Step-by-step explanation:
Answer:
√10−√14+√15−√21
Step-by-step explanation:
Correct on Edge 2022
16. John's daily income is $120. His daily income is 20% more than Michael's daily income. What is Michael's
daily income?
Plz send step by step explanation
Will mark as a brainiest
Answer:
Michael's daily income is $96
Step-by-step explanation:
Given
john's income=$120
by question
John's income is 20%more than Micheal's
so,. Micheal's income= John's income - 20%of John's income
=$120 - 20%of $120
=$120 -20/100*$120
=$120 - $24
=$96
Answer:
100
Step-by-step explanation:
[tex]x + \frac{20x}{100} = 120 \\ x + \frac{x}{5} = 120 \\ 5x + x = 600 \\ 6x = 600 \\ x = 100[/tex]
HELP HELP HELP HELP HELP HELP
Problem 1
I'm assuming your teacher means "list all the possible rational roots".
If so, then we use the rational root theorem. This is the idea where we'll divide the factors of the last term over the factors of the first coefficient.
Factors of 5: 1, 5Factors of 3: 1, 3If we divide said factors in the order mentioned, then we get this list of possible positive rational roots:
1/1, 1/3, 5/1, 5/3
That list simplifies to
1, 1/3, 5, 5/3
That takes care of the positive possible rational roots. We double the list to incorporate the negative possible rational roots as well
-1, -1/3, -5, -5/3
Answer: 1, -1, 1/3, -1/3, 5, -5, 5/3, -5/3Note: We can rewrite that list in bold into [tex]\pm 1, \pm\frac{1}{3}, \pm 5, \pm \frac{5}{3}[/tex] to shorten it.
============================================================
Problem 2
We'll follow the same idea as the previous problem
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 4: 1, 2, 4
To keep track of everything, I made a spreadsheet table. Refer to the diagram below. The factors of 36 are laid across the top while the factors of 4 are along the left side. Each inner cell represents dividing the headers.
For example, 36/4 = 9 is in the bottom right corner. The first table is before the fractions are reduced, and the second table after the fractions are reduced.
As the second table shows, we have a few repeats. The unique items here are:
1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4
We'll then mirror this set to include negative values as well to write the full list of all possible rational roots.
Answer: 1,2,3,4,6,9,12,18,36,1/2,3/2,9/2,1/4,3/4,9/4-1,-2,-3,-4,-6,-9,-12,-18,-36,-1/2,-3/2,-9/2,-1/4,-3/4,-9/4============================================================
Problem 3
Factors of 15: 1, 3, 5, 15Factors of 5: 1, 5Divide the factors of 15 over the factors of 5 to get
1/1, 1/5, 3/1, 3/5, 5/1, 5/5, 15/1, 15/5
That list reduces to
1, 1/5, 3, 3/5, 5, 1, 15, 3
we can then toss out the duplicates to get
1, 3, 5, 15, 1/5, 3/5
Don't forget to include the negative values as well
Answer: 1, 3, 5, 15, 1/5, 3/5-1, -3, -5, -15, -1/5, -3/5============================================================
Problem 4
The steps will be effectively the same as before. You can write out the factors like done in problem 3, or make a table like done in problem 2. I'll skip the steps shown here unless you need me to go over them.
Answer: 1, 3, 9, 1/2, 3/2, 9/2-1, -3, -9, -1/2, -3/2, -9/2============================================================
Problem 5
There's not really much new here, except for the fact that the first term has coefficient of 1. This is a special case where all we have to do is list the factors of the last term -40 to generate all the roots we need. This is because each time we're dividing over +1 or -1 which doesn't really change the overall result (except for the sign part).
Factors of 40: 1, 2, 4, 5, 8, 10, 20, 40
Don't forget the negative values as well
Answer:1, 2, 4, 5, 8, 10, 20, 40-1, -2, -4, -5, -8, -10, -20, -40
write an equation of the line that passes through the point (1,3) and has a slope of -2
Answer:
y= -2x+1
Step-by-step explanation:
y=mx+b
y= -2x +b
3= -2(1) +b
3= -2 +b
b=1
y= -2x+1
calculate the time taken for a train to travel 1000m if its initial is 3 m/s and it is moving at a constant acceleration of 0.1m/s^2
Answer:
Step-by-step explanation:
For obects already in motion, the distance travelled, s, is:
s = vi*t + (1/2)at^2
where vi is the initial velocity, a is the acceleration, and t is the time in seconds.
We want the time, t, to reach 1000 meters.
1000 m = (3 m/s)*t + (1/2)*(0.1m/s^2)*(t^2)
(1/2)*(0.1m/s^2)*(t^2) = 0.05t^2
0.05t^2 + 3t -1000 = 0
Solve quadratic equation:
t = 114.6 seconds
please help me asap if you can!
Answer:
Step-by-step explanation: -3(m-2)=-9
-3m + 6 = -9
-3m = -15
m=5
Answer:
[tex]m=5[/tex]
Step-by-step explanation:
[tex]-3(m-2)=-9~(Given)\\\\-3m+6=-9~(Distributive~Property)\\\\-3m+6-6=-9-6~(Addition~Property~of~Equality)\\\\-3m=-15~(Simplify)\\\\\frac{-3m}{-3}=\frac{-15}{-3}~(Division~Property~of~Equality)\\\\m=5~(Simplify)[/tex]
Pls help this is for a test ill give 20 points
Answer:
y = 2x+1
Step-by-step explanation:
Given, the slope of a line is 2 and y-intercept is 5.
Here, m=2 and c=1.
The equation of the line in slope-intercept form is given by
y=mx+c
∴ y=2x+1 is a required equation.
Not sure if it correct or not.
Which function represents the graph below?
Answer:
b
Step-by-step explanation:
Since it intercepts y at 4, and x at 2, we use y=ax+b and rearrange to get the equation from y=2x+4 to 2x-y=-4
Answer:
b) 2x - y = -4
Step-by-step explanation:
The y-intercept is the y-coordinate of the point (0, b) where the graph crosses the y-axis. It is also the value of y when x = 0.
The crosses the y-axis at point (0, 4). Therefore, the y-intercept, b = 4.
Next, we need to determine which of the given options matches the graph. It helps to transform each of them into their slope-intercept form, y = mx +b:
a) 2x + y = 42x - 2x + y = - 2x + 4
y = -2x + 4 (This is not the correct answer because the slope, m = -2. The given graph has a positive slope).
b) 2x - y = - 42x - 2x - y = - 2x - 4
-y = -2x - 4
Divide both sides by -1:
[tex]\frac{-y}{-1} = \frac{-2x - 4}{-1}[/tex]
y = 2x + 4 This is the correct answer because it matches the y-intercept (0, 4), and has a positive slope of 2.
We could easily disregard the last two options because both of their y-intercept is 0.
Therefore, the correct answer is Option b) 2x - y = - 4
The opposite angles formed by two intersecting lines are ______?
1)of equal measures/ समान मापाचे
2)supplimentary / पूरक
3)of unequal measures / असमान मापाचे
4)corresponding angles / संगत कोन
Answer:
1)
Step-by-step explanation:
The opposite angles formed by two intersecting lines are of equal measures.
They are called vertically opposite angles.
Need help thank you !
Answer:
Step-by-step explanation:
The lowest common denominator of 10 and 6 is 30.
9/10 = 3*9/10*9 = 27/30
1/6 = 5/1/(6 * 5) = 5/30
6 27/30 - 5/30 = 6 22/30 = 6 11/15
Answer 6 11/15
Express 1.07 into percentage
Answer:
12 * 1.07 = 12.84
Step-by-step explanation:
You an can pick any number to express another number in this example we find 0.84 = 7% and 12 = 1 as 12 represents 1 whole.
s 0.4544555444........ Rational or Irrational? Why
Answer:
Rational
Step-by-step explanation:
Its rational because it has the same numbers/pattern
You can find the answer in the image above.
What is the vertex form of the function: f(x) = -12x - 6x^2- 13?
Answer:
f(x)=-6*(x+1)^2+-7
Step-by-step explanation:
This is because the vertex is at (-1|-7)
f(x)=-6*x^2+-12*x+-13
f(x)=-6*(x^2+2*x+13/6) ( Factor out )
f(x)=-6*(x^2+2*x+(1)^2+-1*(1)^2+13/6) ( Complete the square )
f(x)=-6*((x+1)^2+-1*(1)^2+13/6) ( Use the binomial formula )
f(x)=-6*((x+1)^2+1*7/6) ( simplify )
f(x)=-6*(x+1)^2+-7 ( expand )
Hope this Helps
Lucie spent 1/4 hour shooting baskets. She made 15 baskets durning that time. How many baskets would she make in 3 1/2 hours?
Answer:
15*4=60;60*3.5=210
Step-by-step explanation:
60 is the number of baskets Lucy makes in an hour,210 is her 3.5 hours of baskets
Answer:
answer is 1/4 × 3 1/2 =
3 1/8
IF YOU CAN ONLY ANSWER ONE ITS OKAY
Find the slope of a line perpendicular to each given line.
13) -3y = 9 - 4x
14) -y - 1 = 6 x
13. M=4/3
14. m=-6
Step-by-step explanation:
Can someone pls help me :(( tysm if u do and i have 7 khan academy’s and there only 4 questions on each on can someone pls help me on them there all due by 12 tn and i dont know who else to ask for help tysm if u do:c
Answer:
-8
Step-by-step explanation:
I’ll substitute x for the blank space:
-2 = x + 6
-2 - 6 = x
x = -8
-8 + 6 = -2 ✅
Which segments are parallel?
Select each correct answer.
O EF
O AB
O GH
O CD
Answer:
EF ║ CD and AB ║ CD are the parallel segments.
Step-by-step explanation:
The given question is incomplete without picture; here is the picture attached with the answer.
Since m∠A = m∠D = 42°
Therefore, AB ║ CD and segment AD is the transverse.
Now ∠AEF + ∠IEF = 180° [Supplementary angles]
138° + ∠IEF = 180°
∠IEF = 180 - 138
= 42°
∠IHG + ∠DHG = 180° [ Supplementary angles ]
∠IHG + 122 = 180
∠IHG = 180 - 122
∠IHG = 58°
But ∠IEF ≠ ∠IHG
Therefore, EF and GH are not parallel.
If the segments AB and GH are parallel then ∠IHG = ∠IAB (By the property of alternate angles)
But ∠IHG ≠ ∠IAB
Therefore, AB and GH are not parallel.
Now ∠IEF ≅ ∠IDC ≅ 42° [alternate angles]
which reveals that EF ║ CD
Therefore, EF ║ CD and AB ║ CD
what is I need help with this 3/4 + 1/3 =
Answer:
Find the LCM of 3 and 4
Divide 12 by 4 and multiply with 3 which is 9
Divide 12 by 3 and multiply with 1 which is 4
9 plus 4 is 13
so the answer is 13/14
Mona opened a savings account with a S500
deposit and a simple interest rate of 5.6% If
there were no deposits or withdrawals now
much money is in the account after 8 ÷ years?
$224
...................
{(-4,3), (5,-9), (11,4), (9,6), (5,-3), (8,-9), (1,4)}
Function / Not a Function
is not a function.
The relation is not a function.
Step-by-step explanation:
Which of the following systems of inequalities has no solution?
Answer:
The third one
Step-by-step explanation:
y=>x+1
y=<x-1
removing y
x-1 => x+1
removing x
we have no solution
Which of these is not a factor of 4x2? x2 2.
I need help asap pleaseeeee
please!!!
need an answer asap!
will give brainliest
MATH if someone can please help that would be amazing thank you!
Which of the following relation is/are function/s?
A.the rule which assigns each person a surname
B. the rule which assigns a pen and the color of it's ink
C.the rule which assigns the name of teachers you have
D. the rule which assigns to each person the name of his brother
Answer:
A. THE RULE WHICH ASSIGNS EACH PERSON USERNAME
Step-by-step explanation:
MARK PLS
Answer:
punta ka sa settings bi tapos I change ng Pilipinas yong server mo baka may makasagot ng tanong mo
3. Consider the equation 3x + 4 = 8x - 16. Solve for x using the given starting point."
Group 1
Group 2
Group 3
Group 4
Add 16 to both sides
Subtract 3x from both
sides
Subtract 4 from both
sides
Subtract 8x from both
sides
Answer:
X=-2.4
Step-by-step explanation:
3x+4=8x+16
-5x+4=16
-5x=12
x=-2.4
The population of Hillsborough County in Florida in 2010 was 1,229,226 and the land
area was 1,020 square miles. The population increased by 9.7% in 2015.
Part 1: To the nearest whole number, find the population density, in people per
square mile, for Hillsborough County in 2010.
Part 2: To the nearest whole number, how much did the population density, in people
per square mile, increase from 2010 to 2015?
Answer:
About 1205.12352941 people per square mile in 2010
About 1329.36306853 people per square mile in 2015
Explanation:
take population and divide by land area
for 2015 pop do total pop divided by 9.7 plus total pop
Find the 9th term of the geometric sequence 9, -27, 81, ...
Answer:
59049
Step-by-step explanation:
nine times negative 3 8 times
Answer:
a₉ = 59049
Step-by-step explanation:
The nth term of a geometric sequence is
[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]
where a₁ is the first term and r the common ratio
Here a₁ = 9 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-27}{9}[/tex] = - 3 , then
a₉ = 9 × [tex](-3)^{8}[/tex] = 9 × 6561 = 59049
how many feet is 535 from -8
Answer:
527 is your answer
Step-by-step explanation: