Answer:
6x = 42
Step-by-step explanation:
The formula to find the area of a rectangle is 
. Since we have a value for the width, we simply need to find what to multiply to 6 to get 42.
Let x = length
6x = 42
We then divide both sides by 6 to find the value of x.
So we know the length is 7.
To check the answer we substitute x with 7.
Answer:
answer is y=-2x+8 is the eq of given line
Answer:
195.25
Step-by-step explanation:
Consider geometric series S(n) where initial term is a
So S(n)=a+ar^1+...ar^n
Factor out a
S(n)=a(1+r+r^2...+r^n)
Multiply by r
S(n)r=a(r+r^2+r^3...+r^n+r^n+1)
Subtract S(n) from S(n)r
Note that only 1 and rn^1 remain.
S(n)r-S(n)=a(r^n+1 -1)
Factor out S(n)
S(n)(r-1)=a(r^n+1 -1)
The formula now shows S(n)=a(r^n+1 -1)/(r-1)
Now use the formula for the problem
Answer:
Absolute maximum is 2
Absolute minimum at -2
Step-by-step explanation:
The given parametric functions are:
By the chain rule:
At fixed points, 
This gives 
on 
This implies that the extreme points are 
and 
By eliminating the parameter, we have 
This is a circle with radius 2, centered at the origin.
Hence (0,2) is an absolute maximum ,at 
and (0,-2) is an absolute minimum at 
Answer:
D: Point E is the midpoint of segment AC
Step-by-step explanation:
The midpoint is a point where it is in the middle of a line, line segment, or ray.
Congruent means something that is exactly the same.
Congruent triangles are two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
Bisect means separating something into two precise and equal pieces/ angles.
Similar triangles means two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
