If the diagonals of the parallelogram intersect with each other, this means that the diagonals bisect each other. Thus,
AE = CE
Substituting the equations,
2x² - 3x = x² + 4
The values of x from the equation are equal to 4 and -1.
AE = 2(4)² - 3(4) = 20
Hence, AC is equal to 40.
Answer: 40 units
Answer:
r(n)=3n-1
Step-by-step explanation:
Answer:
∠1 = ∠3 = 54°; ∠2 = 36°
Step-by-step explanation:
Each of the triangles is isosceles. Triangles opposite each other are congruent, so ∠2 is congruent to 36°.
∠2 and ∠3 are complementary, so ∠3 is 54°. Since ∠3 is congruent to ∠1, it, too, is 54°.
ANSWER
y=7
EXPLANATION
The horizontal asymptote of an exponential function

is y=c.
The given exponential function is

When we compare to

c=7, therefore the horizontal asymptote is y=7.
(3x+2) (x-7)
FOIL
first 3x*x = 3x^2
outer 3x*-7 = -21x
inner = 2*x = 2x
last 2*-7 = -14
add them together = 3x^2 -21x+2x -14
combine like terms 3x^2 -19x -14