Answer:
The measure of the length is
Step-by-step explanation:
Let
x-----> the length of rectangle
y-----> the width of rectangle
we know that
The perimeter of rectangle is equal to
so
Simplify
-----> equation A
----> equation B
Substitute equation B in equation A and solve for y
Find the value of x
Answer:
t = d/r
Step-by-step explanation:
Given the equation, d = rt for <em>t</em><em>:</em>
Switch sides:
rt = d
Divide both sides by r to isolate<em> t</em>:<em> </em>
t = d/r
Answer:
d =
e =
f =
Step-by-step explanation:
D is equal to pi because pi is 3.1415... Therefore we need a point that is a little more than -3 and that is point d.
is roughly equal to -2.8 because 3 * 3 = 9 so that is too much, and 2 * 2 = 4 is too little so it has to be between -2 and -3. Therefore the point is e.
For 3/2 it has to be less than 2 because 2 cannot go into 3 more than once. The point would then be point f.
<em>Hope this helps!!</em>
<em>- Kay :)</em>
Take an arbitrary vector (<em>x</em>, <em>y</em>, <em>z</em>), which goes from the origin to some point (<em>x</em>, <em>y</em>, <em>z</em>) on the plane we want to find.
Subtract from this vector, the vector that points to , which is (-3, 3, 1). This translates the first vector so that it starts at the point
and is directed at some point (<em>x</em>, <em>y</em>, <em>z</em>). We get a new translated vector, (<em>x</em> + 3, <em>y</em> - 3, <em>z</em> - 1), which lies in the plane.
The normal vector to the plane is orthogonal to every vector in the plane. So taking the dot product of any vector in the plane with the normal to the plane will always result in 0. We use this to find the plane's equation:
and so the answer is D.