Answer:
KL = 16
Step-by-step explanation:
For this problem, JL is the sum of KL and JK. So we can say this:
JK + KL = JL
( 3x + 6 ) + ( 5x + 6 ) = 28
8x + 12 = 28
8x = 16
x = 2
So, now we can find KL:
5x + 6 = ?
5(2) + 6 = ?
10 + 6 = ?
16 = ?
So the length of KL is 16.
Cheers.
Answer:
The absolute value inequality to represent the situation is presented as follows;
Step-by-step explanation:
The given information are;
The number of words Annika needs to write = 400 words
The absolute deviation of the number of words Annika needs to write = 10 words
When we let the number of words Annika write = w, we have;
The absolute value inequality given that the absolute deviation of the number of words is 10 is given as follows;
Therefore we have;
gives the statement, -10 < w - 400 < 10.
Answer:
is perpendicular to 
and parallel to 
Step-by-step explanation:
First, convert the equation to standard form so that y is isolated.
x + 5y = 6 --> x - 6 = -5y (divide both sides by -5) --> 
A perpendicular line will have a slope that is the opposite reciprocal of the original slope (meaning you flip the numerator and denominator then make it negative).
is perpendicular to 
which simplifies to 5.
A parallel line will have the same slope, but the y-intercept will be different. It can be pretty much any number as long as the original slope is used in the new equation.
is parallel to just like 
.
So, we are given 5^8. It was happy and content. But then... we had to write it as a quotient of two exponential terms with the same base in four different ways and use negative or zero exponents and ahhhhhh!!!
... anyways...
We'll build a quotient of two exponential terms with the same base 5. Something like this:
5^a / 5^b
We need them to make 5^8 when we are done. I'll first use a zero exponent.
[1] Now, zero exponents are nice since they make things equal 1. Like 5^0 = 1. Well, obviously, 5^8 / 1 = 5^8. So, our first quotient can be:
5^8 / 5^0
Done.
[2] Let's try this on its head. This one's a little weird. Remember that negative exponents flip things upside down. So 5^-8 = 1/5^8 and 1/5^-8 = 5^8 for example. In fact... that's the answer!
5^0 / 5^-8 = 5^8
Done.
[3] Let's try to not use 0s or 8s. We can be clever and do something like this:
5^-1 / 5^-9
What the heck is that? Well, we just flip them and get:
5^-1 / 5^-9 = 5^9 / 5^1 = 5^8
Done.
[4] Can you come up with one last trick on your own? Try it!
Conner is correct because when 2 exponents with the same base are multiplied, you add the exponents (for example, (x^3)*(x^4) = (x^7)
