<span>Last week, Rosa ran 6 1/4 laps around the lake. Clara ran 1/5 as many laps around the lake as Rosa did. How many laps around the lake did Clara run?</span>
Answer:
and 
are parallel.
is neither parallel nor perpendicular.
Step-by-step explanation:
First, you have to simplify each equation in terms of y.
Your first equation is already in terms of x, so simplify your second equation.
Now you can simplify your third equation.
These are your three equations in terms of y:
Now, all you have to know is how to tell using your slope if a line is parallel or perpendicular to another.
Two parallel lines will have the exact same slope.
Two perpendicular lines will have slopes which are opposite reciprocals. For example, a line with a slope of 2 is perpendicular to a line with a slope of 
, as they have opposite signs and are reciprocal (2/1 versus 1/2) to each other.
Your first two equations have the same slope and are therefore parallel.
Your third equation is a reciprocal, but it is not opposite, and is therefore not parallel nor perpendicular.
Answer:
i think the difference in height from the top to the bottom is 8ft
Answer:
10 rabbits
Step-by-step explanation:
Let us represent
Number of rabbits = x
Number of squirrels = y
Number of deer = z
Katniss caught three times as many squirrels as deer.
y = 3z
She also caught five less rabbits than squirrels.
y = x - 5
The total number of animals she caught is ten more than four times the number of deer caught.
x + y + z = 4 × z + 10
x + y + z = 4z + 10
How many rabbits did Katniss catch?
Number of rabbits = x
We make x subject of the formula
x + y + z = 4z + 10
x = 4z + 10 - y - z
y = 3z
x = 4z + 10 - 3z - z
x = 4z - z - 3z + 10
x = 4z - 4z + 10
x = 0 + 10
x = 10
Therefore, the number of rabbits Katniss caught is 10 rabbits
Answer:
(x+4) (x-8)
Step-by-step explanation:
The function is represented by the zeros
(x-a) (x-b) ....... = 0 where a,b,..... are the zeros
There are 2 zeros so there are 2 factors
( x- -4) ( x-8) = 0
(x+4) (x-8) =0
