Answer:
6 units
Step-by-step explanation:
I will just assume that you made a typo when typing the question when saying AB is 6√3. Here is the solution if AB = 6√2.
Since it is given that ABC is a right triangle and x labels each of the legs, the triangle is a right isoceles triangle.
Now we can use the right isoceles triangle theorem to solve the problem. This theorem states that if a leg is "x" in a right isoceles triangle, then the hypotenuse is equal to x√2.
Here, the hypotenuse is equal to 6√2. To figure out the legs, you need to solve the equation 6√2 = x√2. It is solved here:
6√2 = x√2 (Divide by √2)
x = 6
The length of the legs are 6 units.
In order to answer this question, we must break this mathematical expression up into a series of mathematical operations (exponent, multiplication,division, addition, and/or subtraction):
"4 times a number" - The word "times" implies that we have to multiply 4 by an unknown number. We can simply label this unknown number as x.
"cubed" - In order to "cube" a number, we must raise it to the third power, or have an exponent of 3. Our unknown number of x now becomes x3 because we raised it to the third power.
"decreased by 7" - The word "decreased" implies that we must subtract 7 from the product of 4 multiplied by x3
With all of the information we now have, we can form an algebraic expression for this problem.
"4 times a number cubed decreased by 3" now becomes:
4x3 - 7
Answer: Expression represents the number of text messages you sent on Tuesday = 2x
Expression represents the number of text messages you sent on Wednesday = 12+2x
Expression represents the number of text messages you sent on Thursday = x+6
Step-by-step explanation:
Given:
Number of text messages sent on Monday = x
On Tuesday, Number of text messages sent = 2 (Number of messages sent on Monday)
= 2 x
On Wednesday, Number of text messages sent = 12+ (Number of messages sent on Tuesday)
= 12 +2x
On Thursday, Number of text messages sent = 
= x+6
Expression represents the number of text messages you sent on Tuesday = 2x
Expression represents the number of text messages you sent on Wednesday = 12+2x
Expression represents the number of text messages you sent on Thursday = x+6
