Answer:
0
Step-by-step explanation:
Using the algebraic expansion
x³ + y³ = (x + y)³ - 3xy(x + y)
Given
x³ + y³ - 12xy + 64
= (x + y)³ - 3xy(x + y) - 12xy + 64
Substitute x + y = - 4 into the expression
= (- 4)³ - 3xy(- 4) - 12xy + 64
= - 64 + 12xy - 12xy + 64
= 0
A = P(1 + r/n)^nt
p=2000
r=.052
n=4
t=8
answer is 3,023.66
Answer:
D
Step-by-step explanation:
These two triangles are similar triangles. The two angles marked are the same and the two angles at the intersection where you see the square are also the same, making it clear that the last angle must be the same as well.
Therefore,
length 8 from the top triangle is similar to length 6 on the bottom triangle,
length 10 from the top is similar to b on the bottom triangle,
length 6 from the top is similar to a on the bottom.
To find the ratio of similarity, you would compare the length 8 to length 6, and divide them. 8/6 = 1.33333
Now that you've found the proportionality constant, you divide the other two lengths on the top triangle with the constant to get <em>b </em> and <em>a</em>.
b = 10/1.3333 = 7.5
a = 6/1.3333 = 4.5
Therefore, the answer is D: a = 9/2, b = 15/2.
C. 5/6
30 people with soda + 45 people with lemonade = 75/90 people
simplifies to 5/6.
Answer:
On the diagram, construct lines BY, XY and DY.
Now, consider triangles ΔXBY and ΔXDY. We can say that these triangles are congruent by the SAS postulate (they share side XY, XY bisects ∠BYD so ∠BYX=∠DYX, and BY=DY=radius). If they're congruent, their sides are the same so BX=DX.
BX=DX
AB+radius = CD +radius
AB=CD