1.If AC = 5x + 2 and BD = 2x + 20, find BD. 5x+2=2x+20 D BD=216)+20=32 ... 5. In the accompanying diagram, ABCD is a rectangle. E is a point on CD:
Answer:
C
Step-by-step explanation:
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Answer:
A
Step-by-step explanation:
we can find out by writing its equation;
9-(-3) / (14-4) = 12 / 10 = 6 / 5
so its equation gonna be y = 6/5x - 7.8
.
now we can grid in the answer choices:
-9 = -6/5 -7.8 so (-1 , -9) is the correct answer
.
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.
D would be the answer you are looking for
