Answer:
y=3/2and x =2
Step-by-step explanation:
Answer:
and
are parallel.
is neither parallel nor perpendicular.
Step-by-step explanation:
First, you have to simplify each equation in terms of y.
![y=\frac{3}{5} x+1\\5y=3x-2\\10x-6y=-4](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B5%7D%20x%2B1%5C%5C5y%3D3x-2%5C%5C10x-6y%3D-4)
Your first equation is already in terms of x, so simplify your second equation.
![5y=3x-2\\y=\frac{3}{5} x-\frac{2}{5}](https://tex.z-dn.net/?f=5y%3D3x-2%5C%5Cy%3D%5Cfrac%7B3%7D%7B5%7D%20x-%5Cfrac%7B2%7D%7B5%7D)
Now you can simplify your third equation.
![10x-6y=-4\\-6y=-10x-4\\y=\frac{5}{3} x+\frac{2}{3}](https://tex.z-dn.net/?f=10x-6y%3D-4%5C%5C-6y%3D-10x-4%5C%5Cy%3D%5Cfrac%7B5%7D%7B3%7D%20x%2B%5Cfrac%7B2%7D%7B3%7D)
These are your three equations in terms of y:
![y=\frac{3}{5} x+1\\\\y=\frac{3}{5} x-\frac{2}{5} \\\\y=\frac{5}{3} x+\frac{2}{3}](https://tex.z-dn.net/?f=y%3D%5Cfrac%7B3%7D%7B5%7D%20x%2B1%5C%5C%5C%5Cy%3D%5Cfrac%7B3%7D%7B5%7D%20x-%5Cfrac%7B2%7D%7B5%7D%20%5C%5C%5C%5Cy%3D%5Cfrac%7B5%7D%7B3%7D%20x%2B%5Cfrac%7B2%7D%7B3%7D)
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.
W=x
L=2x+17
Double everything since we need to lengths and two widths to find the perimeter
2x+17+2x+17+x+x = 76
Combine like terms
6x+34=76
Solve for x
First step is subtract 34 from both sides
6x=42
Next you divide both sides by 6 in order to get x by itself
X=7
Now you plug in 7 into the x’s in length and width
W=7 cm
L=31 cm
THE WIDTH IS 31 CM
Check:
7+7+31+31 = 76 cm
It equals 76 cm just like the problem said so therefore it is right.
I don't think you're stupid. ^^
Let's take the third term, 8. If n=3, then an should be 8.
The first answer gives 15+2.5*3=22.5.
The second answer gives 15.5+2.5=23.
The third answer gives 15-2.5*3=7.5.
The fourth answer gives 15.5-2.5*3=8.
Choice 4 is correct.
Let's try to actually find the equation on our own.
The equation for an arithmetic series is an=a0+dn where a0 is the term that comes before the first term.
The first term given is 13 and it decreases by 2.5 each time so n=-2.5 and the term that would be before 13 is 15.5.
Thus the equation is an=15.5-2.5n
Answer:
The equations have the same mathematical form:
S = A + V0 t - 1/2 g t^2
They are both quadratic equations in one variable (t here)
This equation expresses the distance traveled by an object in time t in the vertical direction - it does not necessarily refer to a graph
In the other equation, y can be considered a vertical coordinate equation on a graph and x would be the horizontal coordinate
Note that in one equation 3 terms are necessary to describe the displacement of an object in one direction
In the other 2 terms in the x-direction describe the displacement in the other or y-direction