The perimeter of the rectangle is 16 units.
A rectangle is a 2-D shape with length and width.
The length and width are different.
If the length and width are not different then it is a square.
The area of a rectangle is given as:
Area = Length x width
We have,
First, let's plot the points on a coordinate plane to visualize the rectangle:
7| F(4,7) E(1,7)
6|
5|
4| o G(4,2)
3| o D(1,2)
2|
1|
|__________
1 2 3 4
Now,
From the coordinates, we can see that the length of side DE is 7 - 2 = 5, and the length of side DG is 4 - 1 = 3.
Since this is a rectangle, we know that opposite sides are congruent, so EF and FG must also have lengths 5 and 3, respectively.
The perimeter of a rectangle is simply the sum of the lengths of all four sides. So, the perimeter of rectangle DEFG is:
perimeter = DE + EF + FG + DG
perimeter = 5 + 5 + 3 + 3
perimeter = 16
Therefore,
The perimeter of the rectangle is 16 units.
Learn more about rectangles here:
#SPJ2
Answer:
answer Z
Step-by-step explanation:
Look for a graph that contains the following zeros: x = 1, x = 2 , x= 3, following the info derived by the binomial factors that the function contains. Also look ate the fact that the function in question has for leading term positive , then this function must go towards plus infinity when x becomes large. This is the case for the graph option Z (the last graph of the group)
Answer:
The answer to your question is:
1x² - 6x + 8 - 9 / (x³ - 5x² + 2x -1)
Step-by-step explanation:
Divide x³ - 5x² + 2x -1 by x + 1
1 -5 +2 -1 -1
-1 +6 -8
1 -6 +8 -9
1x² - 6x + 8 - 9 / (x³ - 5x² + 2x -1)
g(x) = 3x2 + 5x – 5
Find: g(f(x))
Answer:
Step-by-step explanation:
g(x - 6)= 3(x - 6)^2 + 5(x - 6) - 5
= 3(x^2 - 12x + 36) + 5x - 30 - 5
= 3x^2 - 36x + 108 + 5x - 35
= 3x^2 - 31x + 73