What is the image of the point (6,-2) after a rotation of 90° counterclockwise about
the origin?
Answers
The point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
It is given that a point (6,-2) is rotated 90° counterclockwise about origin.
We have to find the new point after rotation.
What do you mean by rotation counterclockwise ?
If something is moving counterclockwise that meant it is moving in the opposite direction to the direction in which the hands of a clock move.
As per the question ;
A point (6,-2) is rotated 90° counterclockwise about origin.
Let's assume (6,-2) = (x , y)
If we rotate it 90°counterclockwise ; then the point will be inverted ; i.e.,
(x , y ) ⇒ ( y , x)
So ;
(6 , -2) = (-2,6)
So ;
The new point will be ;
= (-2 , 6)
Thus , the point will be inverted when (6,-2) is rotated 90° counterclockwise i.e., the new point will be (-2,6).
To learn more about rotation clockwise click here ;
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Related Questions
Use the expression 14x + 28y + 21
(Answer both questions below)
Part A: What is the greatest common factor of the expression?
Part B: Factor the expression
Answers
Answer:
A) 7 is the greatest common factor of the expression.
B) factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]
Step-by-step explanation:
We are given the expression: [tex]14x + 28y + 21[/tex]
Part A: What is the greatest common factor of the expression?
We need to find the greatest common factor of the expression.
The expression is divisible by 7
So, 7 is the greatest common factor of the expression.
Part B: Factor the expression
We need to factor the expression: [tex]14x + 28y + 21[/tex]
Taking 7 common:
[tex]14x + 28y + 21\\=7(2x+4y+3)[/tex]
So, factoring the expression [tex]14x + 28y + 21[/tex] we get [tex]\mathbf{7(2x+4y+3)}[/tex]
The sum of a number and two times that number is at most 36
Answers
Answer:
12
Step-by-step explanation:
x + 2x = 36
3x = 36
x = 36 ÷ 3
x = 12
12 + 24 = 36
Answer:
12
Step-by-step explanation:
x + 2x = 36
3x = 36
x = 36 ÷ 3
x = 12
12 + 24 = 36
The video streaming service that you want to use is represented with the equation
below, where y represents the the total monthly cost of the service and x represents
the number of videos you plan to stream each month:
y = $1.25x + $5.00
Create a table for the values when x = 0, 5, 8, 10, 30
x-value
y-value
0
5
8
10
30
Answers
Answer:
HERES THE ANSWER
Step-by-step explanation:
0 = 5.00
5 = 11.25
8 = 15.00
10 = 17.50
30 = 42.50
also to understand it easier. # 1.25 times (whatever number), then take whatever that equals and add it to 5.00 ! (works for any question, just substitute the numbers)
To create a table for the values when x is given value, you can put those value in given function and can calculate what does y evaluates to.
The corresponding values of y are:
[tex]\begin{array}{cc}x&y\text{(In dollars)}\\0&5\\5&11.25\\8&15\\10&17.5\\30&42.5\end{array}\right[/tex]
Given that:y represents the total monthly cost to the servicex represents the number of videos you plan to stream each month. y = $1.25x + $5.00 ( a linear function )To find:Values of y for values of x as x = 0, 5, 8, 10, 30
Using the relation between y and x to find the values of y to corresponding values of x:For x = 0:[tex]y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=0}\\ y = 1.25 \times 0 + 5\\ y = \$5\\ \\ [/tex]
For x = 5:[tex]y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=5}\\ y = 1.25 \times 5 + 5\\ y = \$11.25\\ \\ [/tex]
For x = 8:[tex]y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=8}\\ y = 1.25 \times 8 + 5\\ y = \$15\\ \\ [/tex]
For x = 10:[tex]y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=10}\\ y = 1.25 \times 10 + 5\\ y = \$17.5\\ \\ [/tex]
For x = 30:[tex]y = 1.25x + 5\\ \\ y = 1.25x + 5|_{x=30}\\ y = 1.25 \times 30 + 5\\ y = \$42.5\\ \\ [/tex]
Thus, the corresponding values are:
[tex]\begin{array}{cc}x&y\text{(In dollars)}\\0&5\\5&11.25\\8&15\\10&17.5\\30&42.5\end{array}\right[/tex]
Learn more about linear functions here:
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Edward plans to put $75 into a savings account. He can place his money into an account represented by b(x) = 7x + 75, or into another account represented by c(x) = 75(1.06)x. Which account has the highest value in 2 years? Which account has the highest in 12 years?
Answers
Answer:
the answer is the option B
b(x) has the highest value in years; b(x) has the highest value in years
Step-by-step explanation:
x------> the time in years
b(x)----> the value in dollars of a saving account
c(x)----> the value in dollars of another account
we know that
Step 1
Find the value of each account for
so
----> b(x) has the highest value in years
Step 2
Find the value of each account for
so
----> b(x) has the highest value in years
7 1/2 divided by 3/4 ?
= 5
= 4
= 7
= 10
Answers
Answer:
10
Step-by-step explanation:
Select the reason why these triangles are
similar. If they are not, select "Not similar".
A. AA
B. SAS
C. SSS
D. Not similar
Answers
Answer:
B. SAS
Step-by-step explanation:
In the given diagram, it would be observed that each side of the bigger triangle are multiplied by a factor of [tex]\frac{1}{3}[/tex] to give the values of each corresponding sides of the smaller triangle. But the included angle of the two triangles are the same.
Therefore, the reason why the triangles are similar is because of side-angle-side (SAS) relations. The correct option is B.
Answer:
SAS
Step-by-step explanation:
Just Because.
solve the simultaneous equations
5x-2y=4
3x-6y=6
Answers
x=0.5
y=-3/4
1. What is the area of a circle with a a diameter of 20 cm in terms of pi?
2. What is the area of a circle with a radius of a 8 yd using 3.14 as pi?
3. The area of a circle in terms of pi is 49pi. What is the radius of the circle?
Help needed and it would be appreciated
Answers
Answer:
1. 100pi cm
2. 200.96 yd
3. 7
Step-by-step explanation:
1.) diameter = radius multiple by two (D = r × 2)
&
radius = diameter divided by two (r = D ÷ 2)
So
20 ÷ 2 = 10 => A = pi (10)power 2 => A = 100pi
---------------------------------------------------------------------------------------------
2.) 3.14 × (8)power2 =200.96
---------------------------------------------------------------------------------------------
3.) A = 49pi => 49pi = pi(r)power2
[ cross out the pi from both sides]
And your left with
49 = (r)power2
[square root both sides to get rid of the power]
And your left with
7 = r
Rectangle describe in your own words
Answers
Answer:
A shape with four sides with two being longer than the other two?
Step-by-step explanation:
Answer:
A geometric shape with two sets of paralel lines joined by 4 vertexes.
Which table represents the function y = 4x - 3?
Answers
Answer:
B
Step-by-step explanation:
Answer:
Second table (B)
Input: 0, 1, 2
Output: -3, 1, 5
Explanation:
Given the 2D linear equation y = 4x - 3,
y must represent the output because it is the dependent variable, so x must represent the input because it is a independent variable.
Are adjacent angles ever congruent?
Answers
Solve for b.
-t = 9(t - 10)
(WILL GIVE BRAINLIEST)
Answers
Answer:
Do you mean solve for t?
If you do, the answer is 9.
Step-by-step explanation:
If we expand the equation out, we get:
-t = 9t - 90
If we move the -90 over to the left side and the -t to the right side, we get:
90 = 10t
Dividing both sides by 9, we get:
t = 9
The anser is this and its easy first multiply
help me please I need help in math I suck and I need good grades
Answers
Answer:
The answer to the question provided is 60.
Can someone please help me with this? I’ll give Brainliest!
Note: Show how you got the answer
Answers
Help ASAP please help
Answers
Answer:
Step-by-step explanation:
another isosceles triangle
SOH CAH TOA
Cos(x)=Adj/ Hyp
Hyp*Cos(45) = Adj
26 * [tex]\sqrt{2}/2\\[/tex] = Adj
13[tex]\sqrt{2}[/tex] both legs
Factor this polynomial.
-3x^2-16x- 5
Answers
Answer:
B. [tex]-(3x+1) (x+5)[/tex]
Step-by-step explanation
factored the equation to solve. Hope this helps!
Help it’s due tomorrow, I’ll mark the first answer brainliest
Answers
Answer:
well then... idek sorry :(
Step-by-step explanation:
please mark brainliest
Solve for X. The triangles are similar
Answers
Answer:
Step-by-step explanation:
B
B. 9
Step-by-step explanation:
35-25=10
65+10=75 (8x+3=75)
8x+3=75
8x=72
x=72/8
x=9
What is the slope of line P? And then what is the slope of line Q?
Answers
Slope of q = -3
Q= -3/1
Rise over run q is going to the left so it’s negative
Please help me if you can
Answers
Answer:
7. [tex]r^{19}[/tex]
Step-by-step explanation:
r^11 x r^8 =
r^11 + 8=
2^19
I need this awser noww and I forget how to do it !! please help!
SIMPLIFY:
[tex]6 \sqrt{2} \times 5 \sqrt{2} [/tex]
Answers
Answer:
6√2 × 5√2 = 60
Step-by-step explanation:
6√2×5√2
6×5×√2×√2
30×(√2)². since √2²=2
30×2
60 Answer
HOPE IT HELPS YOU
MARK ME AS BRAINEST
i’ll give u brainliest!! what is the shape of 1, 2 and 3
Answers
Answer:
1.81.34
2.96.04
3.110.41
Step-by-step explanation:
Answer:
Shape 1: 96.04
Shape 2: 110.41
Shape 3: 75.43
Step-by-step explanation:
For shape 1, you can do 9.8*9.8 and get the answer of 96.04. For shape 2, you can do 6.1*18.1 to get the answer of 110.41. Finally for shape 3, you can find the whole circle and divide it by 4 because it is only a quarter of the circle. The radius being 9.8, you then get the area of 301.72. But since its only a quarter of a circle you divide by 4 and get 75.43.
Using the formula of A=Pi x r^2 or r= d/2
Answers
9514 1404 393
Answer:
9π ≈ 28.3 square meters
Step-by-step explanation:
Using the given formula for the area of the circle, we find its area to be ...
A = πr^2
A = π(3 m)^2 = 9π m^2 ≈ 28.3 m^2
The dog has about 28.3 square meters to run around in.
Put the following numbers in order from least to greatest. 9.201, 9.210, 9.012, 9.0
Answers
Answer:
9.0, 9.012, 9.201, 9.210
Step-by-step explanation:
9.0 has no decimal numbers, so it goes at the beginning, 9.012 is the next greatest, then 9.201, and finally, 9.21. Also, a zero at the end of a decimal number adds nothing.
Yesenia swims laps at a pool. For every 10 laps she swims the backstroke, she swims 15 laps of freestyle. Which ratio shows the number of laps Yesenia swims the backstroke to the number of laps she swims freestyle?
A.2 : 3
B.2: 5
C.3: 2
D.5: 2
Answers
Answer:
10:15, which can be simplified to 2:3
Which system of linear equations appears to have a solution of (-1, 4)?
4ty
2
2
2
4
Answers
Answer:D
Step-by-step explanation:
I think your question is missed of key information, allow me to add in and hope it will fit the original one.
Please have a look at the attached photo.
My answer:
A solution is (-1,4) means that point of intercept is (-1,4)
<=> when x=-1 so y = 4 for both equations
From the 4 possible answers, only graph D meets the requirement.
Hope it will find you well
Answer:
Post a picture?
Which statements are true about points A, B, and C? Check all that apply.
theres more then one answer.
The coordinates of point A are (3, –3).
The coordinates of point B are (1, –3).
The coordinates of point C are (–2, 2).
Point C is the closest to the y-axis.
Points A and B are the same distance from the x-axis.
Answers
Answer:
A B C are all correct yuhh
Step-by-step explanation:
HELP PLS ill mark u brainliest
Answers
Answer:
11
Step-by-step explanation:
Since angle 11 is next to angle 12, and they should add up to 180 degrees, which makes them supplementary angles.
Answer:
The person above me is right
Janice paid $820 plus 7% sales tax for her airfare. How much did she pay in total for her airfare?
Answers
Answer:
877.40
Step-by-step explanation:
5 12 14 will form a acute?
True or false
Answers
No it won't. it's false
cuz proofs here.
(5²)+(12²)= (169)
√(169) = 13
.. so if 13 was the number at 14
it would have been true.
currently the answer is false