Find the image of (2,-2) obtained by translating 2 units up followed by a rotation of 90 degrees counterclockwise about the origin
Answers
Answer:
The Image Below
Step-by-step explanation:
Step 1 : translate 2 up
(2,-2) ----} (2,0)
Step 2: rotate 90 degree counterclockwise about the origin.
The image of (2, -2) after translating 2 units up and rotating 90 degrees counter clock wise about the origin is (0, 2).
What is translation?A translation is the shifting of a figure from one place to another without rotating, reflecting or changing its side.
When a point (x, y) is translated then the new point after the translation will be (x + h, y + k) where h is the horizontal change and k is the vertical change. A downward or leftward translation will be negative. And an upward or rightward translation will be positive.
What is rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
When a point (x, y) is rotated 90 degrees counter clock wise then the new obtained point will be (-y, x).
According to the given question.
We have a point (2, -2).
Now, when the given point (2, -2) is translated 2 units up then the translated point will be (2, -2+2) i.e. (2, 0).
And when (2, 0) is rotated 90 degrees counter clock wise about the origin then the rotated point will be (0, 2).
Therefore, the image of (2, -2) after translating 2 units up and rotating 90 degrees counter clock wise about the origin is (0, 2).
Find out more information about translation and rotation here:
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Related Questions
Help please solve this
Answers
RU is a diameter, so the two equations make half a circle which is 180 degrees.
24x+5 + 10x+5 = 180
Combine like terms:
34x + 10 = 180
Subtract 10 from both sides:
34x = 170
Divide both sides by 34
X= 5
RS= UV
RS = 10x +5
Replace x with 5
RS = 10(5) + 5 = 55
Answers:
X = 5
RS = 55
. Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.
Your answer
6B. List an example that refutes Fracisco's statement. Show its product. Explain why it refutes his statement.
Your answer
6C. How could Francisco rewrite his statement so it is always true?
pls Help me
Answers
Answer:
6A) i) 5 and 3 product is 15
ii) (-5) and (-3) product is 15
6B. The product of 5·i and 3·i is -15
6C. When two or more real factors are multiplied and they have the same sign, the product is positive
Step-by-step explanation:
6A. To examples that support Francisco's statement are;
Given the factors that have the same sign;
i) 5 and 3 both positive
ii) (-5) and (-3) both negative
The products of each of the two factors are therefore;
5 × 3 = 15 (Positive product)
(-5) × (-3) = 15 (Positive product)
6B. An example that refutes Francisco's claim is the product of two imaginary numbers 5·i and 3·i where i = √(-1) as follows;
5·i × 3·i = 15·i² = 15×i×i = 15 × √(-1) ×√(-1) = 15×(√(-1))² = 15 × (-1) = -15
Therefore;
5·i × 3·i = -15 which is a negative number and therefore refutes Francisco's claim
6C. Francisco could rewrite his statement as follows;
When two or more real factors are multiplied and they have the same sign, the product is positive
To make it always true.
−6(x+7)=−4x−2 how many solutions
Answers
Answer: There is one solution, -20
Step-by-step explanation:
[tex]-6(x+7)=-4x-2\\\\Distribute\\\\-6x-42=-4x-2\\\\Add(6x)\\\\-42=2x-2\\\\Add(2)\\\\-40=2x\\\\x=-20[/tex]
There is one solution, -20
Hope it helps <3
Answer:
Only one solutionStep-by-step explanation:
Solution,
[tex] - 6(x + 7) = - 4x - 2[/tex]
Distribute -6 through the parentheses
[tex] - 6x - 42 = - 4x - 2[/tex]
Move variable to L.H.S and change its sign
[tex] - 6x + 4x - 42 = - 2[/tex]
Move constant to R.H.S and change its sign
[tex] - 6x + 4x = - 2 + 42[/tex]
Collect like terms
[tex] - 2x = - 2 + 42[/tex]
Calculate the sum
[tex] - 2 x = 40[/tex]
Divide both sides of the equation by - 2
[tex] \frac{ - 2x}{ - 2} = \frac{40}{ - 2} [/tex]
Calculate
[tex] x = - 20[/tex]
Hope this helps..
Good luck on your assignment..
Major arc BLJ measures 249 degrees. Find the measure in degrees of
angle K.
2490
B
J
L
K?
K
Answers
Answer:
m∠K = 69°
Step-by-step explanation:
"When two tangents or secants intersect outside the circle, exterior angle formed between the tangents of secants is one half the difference of major and minor arcs"
By this theorem,
m(∠K) = [tex]\frac{1}{2}[m(\widehat{LBJ}-m(\widehat{LJ})][/tex]
Here, [tex]m(\widehat{LBJ})[/tex] = 249°
[tex]m(\widehat{LJ})[/tex] = 360° - 249°
= 111°
m∠K = [tex]\frac{1}{2}(249-111)[/tex]
= [tex]\frac{138}{2}[/tex]
= 69°
Therefore, measure of angle K = 69° will be the answer.
Isaac and Victoria share money in the ratio 2 : 5 Victoria recieve £6.60
work out the difference between how much money Isaac and Victoria receive?
Answers
Answer:
£3.96
Step-by-step explanation:
Data obtained from the question include:
Isaac's ratio = 2
Victoria's ratio = 5
Total ratio = 2 + 5 = 7
Amount Victoria recieve = £6.60.
Next, we shall determine the total amount of money shared by Isaac and Victoria. This is illustrated below:
Let T be the total amount of money shared.
Victoria received = £6.60
Victoria's share =
Victoria's ratio/total ratio x total amount
£6.60 = 5/7 x T
£6.60 = 5T/7
Cross multiply
5T = £6.60 x 7
5T = £46.2
Divide both side by 5
T = £46.2/5
T = £9.24
Therefore, the total amount shared is £9.24.
Next, we shall determine the amount received by Isaac. This is illustrated below:
Victoria's share = £6.60
Total amount shared = £9.24.
Isaac's share =?
Isaac's share = Total amount shared – Victoria's share
Isaac's share = £9.24 – £6.60
Isaac's share = £2.64
Therefore, Isaac received £2.64
Finally, we shall determine the difference between how much money Isaac and Victoria receive. This is illustrated below:
Victoria recieve = £6.60
Isaac receive = £2.64
Difference = £6.60 – £2.64
Difference = £3.96
Therefore, the difference in the amount received by Victoria and Isaac is £3.96
cube of -1/2 is equal to-----------. i need urgent please.I will mark brainest
Answers
Answer:
-1/8
Step-by-step explanation:
(-1/2)(-1/2)(-1/2)=-1/8
Answer:
[tex] \frac{ - 1}{8} [/tex]solution,
[tex] (\frac{ - 1}{2} ) ^{3} \\ = \frac{( { - 1)}^{3} }{( {2}^{3} )} \\ = \frac{ - 1 \times ( - 1) \times ( - 1)}{2 \times 2 \times 2} \\ = - \frac{ 1}{8} [/tex]
hope this helps...
Good luck on your assignment
In a sale normal prices are reduced by 10% Angelina bought a pair of shoes in the sale for £54 what was the original pricee of the shoes?
Answers
Answer:
£60
Step-by-step explanation:
Given that
The cost after reduction = £54
So, 90% = £54
We have to find 100%
To do so, find 10% and ,multiply that by 10
90% = £54
10% = 54/9 = £6
1005 = 6x10 = £60
Hope this helps,.
Please mark brainiest
Here were 87 sunflowers at the flower shop in the morning. There were 56 sunflowers left at the end of the day. How many sunflowers were sold? Explain a way to solve the problem.
Answers
Answer:
31
Step-by-step explanation:
We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.
Answer:
31
Step-by-step explanation:
Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).
WILL BRAINLIEST IF ANSWERED IN 2 MINUTES
What is the y-intercept of a line that has a slope of One-fourth and passes through point (8, 3)? 1 3 5 11
Answers
Answer:
1
Step-by-step explanation:
[tex]y - 3 = \frac{1}{4} (x - 8) \\ y = \frac{1}{4} x - \frac{1}{4} \times 8 + 3 \\ \\ y = \frac{1}{4} x - 2 + 3 \\ \\ y = \frac{1}{4} x + 1 \\ equating \: it \: with \: y = mx + b \\ b = 1 \\ y - intercept = 1[/tex]
Answer:
1
Step-by-step explanation:
i just took the test
Randy is building a fence at the side of his warehouse. He has 120 m of fencing and plans to use the
side of the warehouse as one side of the rectangular fenced area. What are the dimensions of the
maximum area Randy can enclose?
Answers
Answer:
The width (side perpedicular to the wall of the werehouse): x = 30 m
The lenght (side parallel to the wall of the werehouse): y = 60 m
Step-by-step explanation:
x - the width of the fenced area
Randy has 120 m of fencing so for the lenght remain (120-2x) m of fencing:
y = 120 - 2x
Area of the fencing: A = x•y
A(x) = x•(120 - 2x)
A(x) = -2x² + 120x ← quadratic function
The maximum value of quadratic function occurs at: [tex]x=-\frac b{2a}[/tex]
a = -2 b = 120
[tex]x=-\frac b{2a}=-\frac{120}{2\cdot(-2)}=-\frac{120}{-4}=30[/tex]
y = 120 - 2•30 = 60
16 - 4y when y is 4
Some plzzzzz helppppp!!!!
Answers
Answer:
0
Step-by-step explanation:
To solve this equation, first find out 4y, which equals 16. Then do the full equation, 16-16=0.
Answer:
Let 16-4y=0
Substracting 16 on both sides
16-16-4y=-16
-4y=-16
4y=16
y=4
Rebutting the value of y
=16-4(4)
=16-16
=0
Step-by-step explanation:
I hope this will help you :)
pls help me with this 2x = 8 (mod 10)
Answers
Answer:
x = 4
Step-by-step explanation:
2x = 8
Divide both sides by 2.
x = 8/2
x = 4
The value of x in the equation is 4.
The conditional relative frequency table was generated using data that compares the favorite subjects of male and female students at a high school. The survey was given to 120 male students and 180 female students.How many students in the survey said that math was their favorite subject?
Answers
Answer:
Im pretty sure its D- 123
Step-by-step explanation:
Edg 2020
Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?
Answers
Answer: 36
Step-by-step explanation:
Let the no. of biscuits be x
Peanuts will be 1/3x
So,
1/3x + 12 + 12 = x
1/3x + 24 = x
x + 72 = 3x
x-3x = -72
x = 72/2 = 36
Peanut biscuits will be 1/3 * 36 = 12
Total no. of biscuits baked were 12+12+12 = 36
A sphere has a volume of V=3600 in cubed. Find it’s surface area
Answers
Answer:
A≈1135.93
Step-by-step explanation:
Hope I help
Answer:
1136.6cm^2
Step-by-step explanation:
[tex]V = 3600\\V =\frac{4}{3} \pi\times r^3\\3600=\frac{4}{3} \times \frac{22}{7} \times r^3\\3600 =\frac{88r^3}{21} \\88r^3 =3600 \times 21\\88r^3 =75600\\\frac{88r^3}{88} =\frac{75600}{88} \\r^3 = 859\\\sqrt[3]{r^3} =\sqrt[3]{859} \\r = 9.51\\\\T.S.A = 4\pi\times r^2\\T.S.A = 4 \times 3.142\times 9.51^2\\T.S.A = 4 \times 3.142 \times 90.4401\\T.S.A = 4\times 284.16\\T.S.A =1136.64[/tex]
If 6 times a certain number is added to8, the result is 32. Which of the following equations could be used to solve the problem
Answers
This used to confuse me, too. We can use a variable to represent a number we don't know.
In elementary school, you had a problem that said 3 + _ = 8 and you could figure out the blank was 5.
Instead, we have 3 + x = 8 and we can figure out that x = 5.
We can also be given a value for x and asked something like if x = 8, what is x + 7, which we know is 15.
In algebra, when we multiply by a variable, we just say how many of that variable it is. Twelve times a variable is 12x or 12a or 12q, depending on what letter we decide to use to represent our variable.
So, six times a certain number, which we are spparently calling x, is 6x. Adding 8 to that is 6x + 8. Those do not combine to make 14 or 14x because one term has the variable and one does not.
If the result is 32...
6x + 8 = 32
Let's look at the other options.
6x = 32. Where's the 8 added??
6(x + 8) = 32. Well, that looks like it could be it, buuuuut we'd multiply 6 by everything in the parentheses, so this is 6 times the sum of a number and 8 is 32, or 6x + 48 = 32. Not quite.
6x = 8 + 32. That's six times a number equals the sum of 8 and 32, right? Thaaaat's not what it says.
The smaller of two numbers is one-half the larger, and their sum is 27. Find the numbers. I need an answer in 10 minutes
Answers
Answer:
18 and 9
Step-by-step explanation:
The numbers are x and 1/2x.
x + 1/2x = 27
3/2x = 27
x = 18 so the numbers of 18 and 9.
You want path 2 to be equidistant from the crocodile river and the habitat you chose. Path 2 represents what mathematical object?
Answers
Answer:
The object would be a Parabola
Step-by-step explanation:
The mathematical object which represent the given situation is the parabola.
Given that, you want path 2 to be equidistant from the crocodile river and the habitat you chose.
What is a parabola?
In mathematics, a parabola is a plane curve which is mirror-symmetrical and approximately U-shaped. It fits several superficially different mathematical descriptions, which can all be proved to define exactly the same curves. One description of a parabola involves a point and a line.
Therefore, the mathematical object to represent the given situation is the parabola.
To learn more about the parabola visit:
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HELP ME PLEASE HELP ME HELP ME PLEASE
Answers
Answer:
no, because the remainder is 126Step-by-step explanation:
if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0
calculating remainder:
[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]
simplify radical sign 0.08^12
Answers
Answer:
√0.08¹² = 0.08⁶
Answer:
[tex]0.08^6[/tex]
Step-by-step explanation:
[tex]\sqrt{0.08^{12}}[/tex]
The square root can be written as an exponent.
[tex]0.08^{12 \times 1/2}[/tex]
Multiply the exponents.
[tex]0.08^6[/tex]
Please help me I will give BRAINLIST and a like
I rlly need help
Answers
Answer:
?=3
Step-by-step explanation:
a= 3/5 b - 7
Answer:
the number that should be in the green box is 3
Step-by-step explanation: since it is three-fifths, in numerical way, it should be written as 3/5..
7 less than three fifths of b is a gives 3/5b-7=a
Factor completely 4x2 − 8x + 4. A Prime B 4x(x2 − 2x + 1) C 4(x2 − 2x + 1) D 4(x2 + 4)
Answers
Answer:
4 ( x-1)^2
Step-by-step explanation:
4x^2 − 8x + 4.
Factor out the greatest common factor
4( x^2 -2x+1)
Factor inside the terms
4( x-1) (x-1)
4 ( x-1)^2
Answer:
4(x-1)(x-1)
4(x^2-2x+1) C
Step-by-step explanation:
4x^2 − 8x + 4 common factor 4
4(x^2-2x+1)
4(x-1)(x-1) or (4x-4)(x-1)
9/20 GREATEST COMMON FACTOR
Answers
Answer:
1
Step-by-step explanation:
Factors of 9 are:
1, 3, 9
Factors of 20 are:
1, 2, 5, 10, 20
The greatest common factor is 1.
Mo’s tyre pressure gauge shows a reading which is 12% higher than the actual pressure. What is the actual pressure when Mo’s gauge shows 38.64?
Answers
Answer:
34.5
Step-by-step explanation:
Given that :
112% = 38.64.
We need to calculate 100%
DO this by finding 1% then multiply that by 100.
112% = 38.64
1% = 38.64/112 = 0.345
100% = 34.5
Hope this helps.
Please mark brainiest
Using proportions, it is found that the actual pressure is of 34.5.
This question is solved by proportions, using a rule of three.The tyre pressure shown on the gauge, of 38.64, is 12% higher than the actual pressure, that is, it is 112% = 1.12 of the actual pressure. How much is the actual pressure x, which is 100% = 1?The rule of three is:
38.64 - 1.12
x - 1
Applying cross multiplication:
[tex]1.12x = 38.64[/tex]
[tex]x = \frac{38.64}{1.12}[/tex]
[tex]x = 34.5[/tex]
The actual pressure is of 34.5.
A similar problem is given at https://brainly.com/question/23536327
(a) Which of the following has only one subset? (1)
(i) {2} (ii) { } (iii) {Ǿ} (iv) None of these
Answers
Answer:
Option (i)
Step-by-step explanation:
{2} has only 1 subset i.e. {2} and no other subset. While { } or ∅ has no subset.
When x= 12, y= 144. (a) Express y in terms of x. (b) Find the value of y when x= 7.
Answers
Answer:
see explanation
Step-by-step explanation:
Given x = 12, y = 144
We can see that y is 12 times the value of x, thus
(a)
y = 12x
(b)
when x = 7, then
y = 12 × 7 = 84
A group of 4 friends have a bag of 49 sweets. They divide the sweets equally between them. a) How many sweets does each friend get? b) How many sweets are left over
Answers
Answer:
a) Each friend gets 12 sweets
b) There is 1 sweet left
Step-by-step explanation:
When you divide 49 by 4 you will get 12 with a remainder 1.
49 ÷ 4 = 12 R1
The remainder is the left over while the total result is how much each friend gets.
Answer:
A) 12
B) 1
Step-by-step explanation:
49 cannot be divided equally among the 4 friends but 48 can be divided.
A) So,
48/4 = 12 sweets
Each friend gets 12 sweets
B) 1 sweet is left
Alex is 12 years older than George. Carl is three times older than Alex The sum of their ages is 68
find the ratio of George's age to Carl's age to Alex's age.
Answers
Answer:
1:12:4
Step-by-step explanation:
Let's say that George's age is x. That means that Alex's age would be x+12
Since Carl is 3 times older, Carl would be 3(x+12)
We put all those in the equation and get this:
x+ x+12 + 3(x+12)=68
2x+12+3x+36=68
5x+48=68
5x=20
x=4
George is 4 years old, Alex is 16, and Carl is 48
Divide every age by 4 to find the ratio
In order of George, Carl, and Alex:
1:12:4
Answer:
1 : 12 : 4.
Step-by-step explanation:
Let's start by assigning some variables to the names! We can use a to represent Alex, g to represent George, and c to represent Carl.
Alex is 12 years older than George, which means that a = g + 12.
Carl is three times older than Alex, which means that c = 3a.
The sum of the ages is 68, meaning that a + g + c = 68.
Since c = 3a, we can say that c = 3(g + 12), and that c = 3g + 36.
That way, we can put it all together...
(g + 12) + g + (3g + 36) = 68
g + g + 3g + 12 + 36 = 68
5g + 48 = 68
5g = 20
g = 4
Now that we have George's age, we can calculate the others!
a = g + 12
a = 4 + 12
a = 16
Now that we have Alex's age, we can calculate Carl's!
c = 3a
c = 3 * 16
c = 48
To check out work, 4 + 16 + 48 = 20 + 48 = 68. 4 + 12 = 16. 16 * 3 = 48. It all matches up!
The question asks for the ratio of George's age to Carl's to Alex's, so we can just find the ratio of g : c : a.
4 : 48 : 16
To simplify, divide all three numbers by 4.
1 : 12 : 4.
You can no longer simplify, so there is your answer!
Hope this helps!
17.
Rewrite y =
16X - 32
- 3 to make it easy to graph using a translation. Describe the graph.
Answers
Answer:
y=16x - 35
graph is in the pic
Answer:
Parent Function:
y=√x
Horizontal Shift: Right 2 Units
Vertical Shift: Down 3
Units
Reflection about the x-axis: None
Vertical Stretch: Stretched
Step-by-step explanation:
Please help me !!!!!
Answers
Step-by-step explanation:
from above figure calculate from the calculator and the right answer will be .....