Answer:
7cm
Step-by-step explanation:
Area = Length x width
A = 35
w= L - 2
L = w+ 2
Now it becomes
35 = ( w+2) x w
35 = w^2 + 2w
W^2 + 2w - 35 = 0
By Factorization we have
( w + 7)( w-5)
w = 5cm
Since L = w + 2, we have
L = 5 + 2
= 7cm
Answer:
No.
Step-by-step explanation:
Since we know the side lengths of the triangle, we can figure out whether or not this is a Pythagorean triple.
Pythagorean theorem: a^2 + b^2 = c^2
a and b are both smaller than c.
So,
8^2 = 64.
13^2 = 169.
15^2 = 225.
64 + 169 = 233.
233 is not equal to 225.
Therefore, this is not a right triangle.
Answer:
a quadrilateral is a polygon with 4 sides and for corners
Step-by-step explanation:
First let's talk about the blue line.
You can see its rising so its slope is certainly positive. But by how much is it rising? You can observe that each unit it rises it goes 1 forward and 1 up so its slope is the ratio of 1 up and 1 forward which is just 1.
We have thusly,
Now look at where blue line intercepts y-axis, -1. That is our n.
So the blue line has the equation of,
Next the black lines. The black lines are axes so their equations are a bit different.
First let's deal with x-axis, does it have slope? Yes but it is 0. The x-axis is still, not rising nor falling. Where does x-axis intercept y-axis? At 0. So the equation would be,
Now we have y-axis. Does y axis have a slope? Yes but it is 
. The y-axis rises infinitely in no run. Where does it intercept y-axis? Everywhere! So what should the equation be? What if we ask where does y-axis intercept x-axis and write its equation in terms of x. Y-axis intercepts x-axis at 0 which means its equation is,
That is, every point of a form 
lies on y-axis.
Hope this helps :)
Answer:
-2
Step-by-step explanation:
-10 x 12 x -4 + 40 x -2 x 6 - 2
-120 x -4 - 80 x 6 - 2
480 - 480 - 2
0 - 2
-2
