Answer:
[tex](x, y) \rightarrow (-x, -y)[/tex]
Step-by-step explanation:
Rotation of any point in the form of (x, y) about the origin O through 180 degree in anticlockwise or counterclockwise direction, it will takes the new position (-x, -y)
i.e,
The rule of rotation about the origin through 180 degree is given by:
[tex](x, y) \rightarrow (-x, -y)[/tex]
For example:
Let the point A(-4, 6) rotate by the rule [tex]R_{0, 180^{\circ}}[/tex]
then;
[tex]A(-4, 6) \rightarrow (4, -6)[/tex]
⇒the coordinate of image of the point A is, (4, -6)
Therefore, the rule represents [tex]R_{0, 180^{\circ}}[/tex] is, [tex](x, y) \rightarrow (-x, -y)[/tex]
Answer:
B
Step-by-step explanation:
State two pairs of angles that are congruent. Justify your answer.
Which row in the chart correctly identifies the functions of structures A, B, and C? *
(has to no more than one option)
Row 1
Row 2
Row 3
Row4
Thx so much :)
The correct row in the chart that identifies the functions of structures A, B, and C is Row 3. In Row 3, A is responsible for photosynthesis, B transports water and nutrients, and C provides structural support.
Explanation:The correct row in the chart that identifies the functions of structures A, B, and C is Row 3.
In Row 3, A is identified as the structure responsible for photosynthesis, which is the process by which plants convert sunlight into energy. B is identified as the structure that transports water and nutrients from the roots to the rest of the plant, and C is identified as the structure that supports the plant and provides structural stability.
Lines s and t are perpendicular If slope of line s is 5 what is the slope of line t
5. A packet of razors and a bar of soap cost £5.50. If the soap costs £2.50 less than the razors, find the cost of each.
April 15 is the _____. date you will receive your tax refund date you will receive your W-2 form deadline to file your tax return deadline to submit your W-4 form
How many different tax brackets are there in the United States currently?A.35 B.6 C.10 D.1
Please help!! I'm giving brainliest!!Suppose the number of students who prefer classical music is 64. What would be the relative frequency? Round the answer to two decimal places if needed.
(1 point)
A.0.64 B.0.25
C.0.09
D.0.11
Answer:0.9
Step-by-step explanation:
test
what’s 2/5+3/4+1/2 in simplest form
What is the rule about significant figures when multiplying and dividing measurements?
Tell which number is prime: 19, 28, 49, 63.
Answer:
The number 19 is the prime number.
Step-by-step explanation:
Consider the provided number.
Prime number: A prime number is a whole number which is greater than 1 and the factors of the number are 1 and itself.
The prime factorization of the provided numbers are:
19 = 1×19
28 = 2×2×7
49 = 7×7
63 =7×9
Here 19 is the only number having factors 1 and 19 which is itself.
Hence, the number 19 is the prime number.
tom is 4 more than twice andrews age. sara is 8 less than 5 times andrews age. if tom and sara are twins, how old is andrew?
Why do you think it might be useful to rearrange formulas before solving for one of the variables
Answer:
It’s easier to find the solution to a variable when that variable is by itself on one side of the equal sign. Rearranging formulas before substituting values for each variable makes calculations more straightforward. With this approach, we only need to perform operations such as multiplication, division, addition, and subtraction on one side of the equal sign, and we simplify instead of solving by using the properties of equality.
Step-by-step explanation:
The population of Columbus, Ohio in 2014 was about 823,000. The population of the United States was 319 million in 2014.
About how many times larger was the population of the United States than the population of Columbus, Ohio?
Please show how you got answer.
Translate into a numerical expression.
seven less than the product of eleven and the reciprocal of nine.
To translate the sentence 'seven less than the product of eleven and the reciprocal of nine' into a numerical expression, you would write '11*(1/9) - 7'.
Explanation:The sentence 'seven less than the product of eleven and the reciprocal of nine' can be translated into a numerical expression as follows:
Firstly, identify the main operations in the sentence. In this case, you have a product (multiplication) and a less than (subtraction) operation. The phrase 'the product of eleven and the reciprocal of nine' will be translated as 11*(1/9), since the reciprocal of nine is one over nine or (1/9).
Next, the 'seven less than' part indicates a subtraction operation. So, the complete numerical expression would be written as '11*(1/9) - 7'.
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A teacher had $57.72 in his checking account. He made a deposit of $209.54. Then he wrote a check for $72.00 and another check for $27.50. What is the new balance in his checking account?
Which equation is the inverse of y = 16x2 + 1?
we have
[tex]y=16x^{2} +1[/tex]
Step 1
exchange variables x for y and y for x
[tex]x=16y^{2} +1[/tex]
Step 2
Isolate the variable y
Subtract [tex]1[/tex] both sides
[tex]x-1=16y^{2}+1-1[/tex]
[tex]16y^{2}=x-1[/tex]
Divide by [tex]16[/tex] both sides
[tex]16y^{2}/16=(x-1)/16[/tex]
[tex]y^{2}=\frac{x-1}{16}[/tex]
Square root both sides
[tex]y=(+/-)\sqrt{\frac{x-1}{16}}[/tex]
[tex]y=(+/-)\frac{\sqrt{x-1}}{4}[/tex]
Step 3
Let
[tex]f(x)^{-1}=y[/tex]
[tex]f(x)^{-1}=(+/-)\frac{\sqrt{x-1}}{4}[/tex]
therefore
the answer is
The inverse is equal to
[tex]f(x)^{-1}=(+/-)\frac{\sqrt{x-1}}{4}[/tex]
The inverse of the function is y = \sqrt{x+1/16}
Inverse of functionsGiven the expression
y = 16x² + 1
We see to find the inverse of the function
Replace y with x to have;
x = 16y² - 1
Make y the subject of the formula
16y² = x + 1
Divide both sides by 16
16y²/16 = x+1/16
y² = x+1/16
Take the square root of both sides
y = \sqrt{x+1/16}
Hence the inverse of the function is y = \sqrt{x+1/16}
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What are the equation(s) used to solve the absolute value equation below: |3x + 2| = 10
An elevator started on the ground floor. It went up 4 floors, down 4 floors, up 8 floors, and down 2. Which expression matches the scenario?
a= |+4|-|-4|-|+8|-|-2|
b= (+4)-(-4)-(+8)-(-2)
c= (+4)+(-4)+(+8)+(-2)
d= |+4|+|-4|+|+8|+|-2|
The correct mathematical expression for the elevator's movement of up 4, down 4, up 8, and down 2 floors is option c: (+4) + (-4) + (+8) + (-2).
The correct expression that matches the scenario where an elevator went up 4 floors, down 4 floors, up 8 floors, and then down 2 floors is (+4) + (-4) + (+8) + (-2). Let's break it down step by step:
The elevator first goes up 4 floors, which can be represented as +4.Then it goes down 4 floors, which is the opposite of going up, so we represent this as -4.Next, the elevator goes up 8 floors, which is +8.Finally, it goes down 2 floors, which is -2.By combining these, the expression becomes c= (+4) + (-4) + (+8) + (-2). This expression correctly reflects the elevator's movements up and down the floors.
Two planes that are initially 800 mi apart are flying directly toward each other. one flies at 250 mph and the other at 150 mph. how long will it be before they meet?
Is the remainder supposed to be this big of a number? Did I mess something up?
A flower bed has the shape of a rectangle 7 yards long and 4 yards wide. what is its area in square feet
One number is 6 less than a second number. twice the second number is 9 less than 5 times the first. find the two numbers
mandy's school has 1300 girls. the ratio of boys to girls is 17:20. How many boys attend mandy's school
There are 1,105 boys attending Mandy's school.
To calculate the number of boys in Mandy's school, we use the provided ratio of 17:20, which corresponds to the number of boys and girls respectively.
With 20 parts equal to the 1,300 girls enrolled, one part equals 65 girls, and thus there are 17 parts representing boys. Multiplying 17 by 65 gives us 1,105 boys attending the school.
To apply this ratio, we'll perform the following steps:
Determine the total number of parts in the ratio. Since the ratio is 17 boys to 20 girls, 17 + 20 = 37 parts in total.Calculate the value of one part. Since there are 1,300 girls and they are represented by 20 parts one part equals 1,300 girls "/" 20 = 65 girls.Find the number of boys. Since each part represents 65 individuals and there are 17 parts representing boys, the number of boys is 17 * 65 = 1,105 boys.Therefore, there are 1,105 boys attending Mandy's school.My rectangular soccer field site has a length equal to three times its width. find its area in terms of its length x.
how to convert 1500 ml to liters
Conversion of 1500 mL to liters is 1.5 liters.
To convert 1500 mL to liters, follow the strategy for conversions. You are starting from mL, which is a smaller unit, and want to find out how many liters this is equivalent to, with liters being the larger unit.
Firstly, we know that 1 liter is equivalent to 1000 milliliters. Since we are converting from a smaller unit to a larger unit, you will need to divide the number of mL by 1000. Therefore:
1500 mL / 1000 = 1.5 liters.
You will need to move the decimal point 3 places to the left because there are 3 zeros in 1000. So, the final step to convert 1500 ml to liters is to simply divide 1500 by 1000, which gives us 1.5 liters.
Is this a function? If so, write function in function notation. (0,-7), (1,-4), (2,-1), (-1,-10) Is this a function? Yes or No? If yes, write the equation.
The permiter of a triangle is 100 feet. the longest side is 3 feet less than twice the shortest side, and the third side is 7 feet longer than the shortest side. find the lengths of the sides of the triangle
What are the subsets of the set {7, 8, 9}?
The subsets of the set {7,8,9} are explained below:
Given that,
The given set is {7,8,9}.We need to find the subset of the above set.Based on the above information, the subsets are as follows:
{} = empty set
{7,8,9}
{7}
{8}
{9}
{7,9}
{7,10}
{8,9}
Therefore the above are the subsets.
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-4(w+3)+5w what is this answer
Answer choices:
never
sometimes
not enough information provided to answer the question
always
P(A and B) means add A and B
if both A and B are both greater then 1/2
then when they are added they will always be greater than 1