112/150, then reduce. the answer is 56/75
What we know:
Area=l x w
vertices at (-4,0),(-3,1), (0,-2),(-1,-3)
pythagorean formula=a²+b²=h²
What we need to find:
Area
Finding length:
Length of rectangle is from point (-4,0) to (-1,-3), found it by plotting the points on graph paper. Went down 3 units and right 3 units to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(3)²=(3)²=h²
9+9=h²
18=h²
√18=√h²
√18=h
Finding width:
Width of rectangle is from point (-4,0) to (-3,1), found it by plotting the points on graph paper. Went up 1 unit and right 1 unit to go from one point to the other, these are the a and b in the pythagorean formula.
a²+b²=h²
(1)²+(1)²=h²
1+1=h²
2=h²
√2=√h²
√2=h
Now we can find area,
Area= l x w
= √18 x√2
=√36=6
Area=6
Remember that when we square root a number we get two solutions, one negative and one positive but since length, width and area are positive we only use positive solutions.
Answer:
12.5
Step-by-step explanation:
25/8 x 8/5 x 5/2 simplify 25 by 5
5/8 x 8/1 x 5/2 simplify 8 by 8
5/1 x 1/1 x 5/2
5 x 1 x 5/2
5 x 5/2
25/2
12.5
Answer:
G = (2, -1)
Step-by-step explanation:
You want ...
FG/FH = 1/6 = (G -F)/(H -F)
H -F = 6(G -F)
H +5F = 6G . . . . . . add 6F, simplify
G = (H +5F)/6 . . . . .divide by 6
Substituting the given coordinates, we get ...
G = ((-8, 19) +5(4, -5))/6 = (-8+20, 19 -25)/6 = (12, -6)/6
G = (2, -1)
