Answer:
(-1,-1)
Step-by-step explanation:
Step 1 identify coordinates of A
A is located at ( -3 , -3 )
Step 2 apply dilation by multiplying the x and y values of coordinate A by the scale factor
Given:
scale factor = 1/3
Coordinates of A: ( -3 , -3 )
* Multiply the x and y values by 1/3 *
( -3 * 1/3 , -3 * 1/3 ) -------> ( -1 , -1 )
The new coordinates would be (-1,-1)
multiply the coordinates of A by the scale factor given
The expression which is irrational is √10. Also, 8/5 is rational. √4 is rational. √64 is rational.
Rational numbers are numbers that can be written in the form of where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), etc.
Irrational numbers are those real numbers that are not rational numbers.
Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
8/5 is rational. It is expressed in the form of .
√4 = 2 = 2/1 . This is rational because it is expressed as the ratio of two integers.
√64 = 8. This is rational because it is expressed as the ratio of two integers.
√10 = 3.16227..... The decimal part does not end and it is irrational because it can not be expressed in the form of .
Therefore √10 is irrational.
Learn more about rational number here;
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Let's use the information given to create an inequality for Mary's age (represented as x):
↪ Emily is three years older than twice Mary's age, so Emily's age is 2x + 3.
↪ The sum of their ages is less than 30, so we can write an inequality:
Now, We can simplify the inequality:
Subtract 3 from both sides of the inequality:
Now, divide both sides by 3 to isolate x:
So, Mary's possible age (represented by x) is less than 9. The inequality that represents Mary's possible age is: x < 9.
Answer:
4096
Step-by-step explanation:
2^12
=2x2x2x2x2x2x2x2x2x2x2x2=4096