Answer: I believe the Awnser is 18.75
Step-by-step explanation:all you have to do is divide 78 and 1/4
Answer:
A = 222 units^2
Step-by-step explanation:
To find the area of this trapezoid, first draw an imaginary horizontal line parallel to AD and connecting C with AB (Call this point E). Below this line we have the triangle CEB with hypotenuse 13 units and vertical side (21 - 16) units, or 5 units. Then the width of the entire figure shown can be obtainied using the Pythagorean Theorem:
(5 units)^2 + CE^2 = (13 units)^2, or 25 + CE^2 = 169. Solving this for CE, we get |CE| = 12.
The area of this trapezoid is
A = (average vertical length)(width), which here is:
(21 + 16) units
A = --------------------- * (12 units), which simplifies to:
2
A = (37/2 units)(12 units) = A = 37*6 units = A = 222 units^2
Answer: the following system of equations has 2 solutions
x1=4
X2=-2
Step-by-step explanation:
5*x+4=x²+3*x-4
x²-2*x-8=0
x12=(2+/-√4+4*1*8)/2
x12=(2+/-√36)/2
x1=(2+6)/2=4
x2=(2-6)/2=-2
9514 1404 393
Answer:
(c) No, it is not a rectangle because the diagonals are not congruent
Step-by-step explanation:
The diagonals of a rectangle bisect each other and are the same length. The lengths of the diagonals of this figure are ...
AC = √((8-0)² +(6-2)²) = √(64+16) = 4√5
BD = √((5-3)² +(2-6)²) = √(4 +16) = 2√5
The diagonals are different lengths, so the parallelogram is not a rectangle. This is described correctly in choice C:
No, it is not a rectangle because the diagonals are not congruent.
_____
The lengths are found using the distance formula:
d = √((x2 -x1)² +(y2 -y1)²)
you would cross multiply meaning 6(2x+2)=11(x-4) Then you distribute 6 so it would be 12x+12=11x-44 then you have to move the constant and the variable so 12x-11x= -44-12 so then the answer would be x = -56
