Answer:
The last one
Step-by-step explanation:
Hey There!
The Pythagorean Theorem states that
the two legs squared added together equal the hypotenuse square
we are given the two legs so to find the missing side we square them, then add them together
the missing side length equals
hope this helps!
Answer:
1. Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
5.
6.
7.
Step-by-step explanation:
Question 1:
We need to rewrite the expression using exponents
5.a.b.b.5.c.a.b.5.b
We will first combine the like terms
5.5.5.a.a.b.b.b.b.c
Now, if we have 5.5.5 we can write it in exponent as:
a.a as
b.b.b.b as:
So, our result will be:
Rewriting the expression 5.a.b.b.5.c.a.b.5.b using exponents we get:
Question:
Rewrite using positive exponent:
The rule used here will be: which states that if we need to make exponent positive, we will take it to the denominator.
Applying thee above rule for getting the answers:
5)
6)
7)
We know that so, we get
Answer:
Step-by-step explanation:
The equation of the line in Slope-Intercept form is:
Where "m" is the slope and "c" is the y-intercept.
By definition:
1. If the lines of the System of equations are parallel (whrn they have the same slope), the system has No solutions.
2. If the they are the same exact line, the System of equations has Infinite solutions.
(A) Let's solve for "y" from the first equation:
You can notice that:
In order make that the System has No solutions, the slopes must be the same, but the y-intercept must not. Then, the values of "a" and "b" can be:
Substituting those values into the second equation and solving for "y", you get:
You can idenfity that:
Therefore, they are parallel.
(B) In order make that the System has Infinite solutions, the slopes and the y-intercepts of both equations must be the same. Then, the values of "a" and "b" can be:
If you substitute those values into the second equation and then you solve for "y", you get:
You can identify that:
Therefore, they are the same line.
