8×51 = 8 ×(50+1)=8×50+8×1=400+8=408
Rectangles are similar figures, thus if scaled copies of each other then the ratios of corresponding sides must be equal
compare ratios of lengths and widths
rectangles A and B
k =
=
← ratio of lengths
k =
=
← ratio of widths
scale factors are equivalent, hence rectangle A is a scaled copy of B
rectangles C and B
k =
=
← ratio of lengths
k =
=
← ratio of width
scale factors (k ) are not equal, hence C is not a scaled copy of B
rectangles A and C
k =
=
← ratio of lengths
k =
← ratio of widths
the scale factors are not equal hence A is not a scaled copy of C
Answer:
D.
Step-by-step explanation:
3-6-3-6×7=-48
3-7*(-3)-6=6
(3-7)×(-3)-6=6
(3-7)(-3-6)=36
9514 1404 393
Answer:
1) f⁻¹(x) = 6 ± 2√(x -1)
3) y = (x +4)² -2
5) y = (x -4)³ -4
Step-by-step explanation:
In general, swap x and y, then solve for y. Quadratics, as in the first problem, do not have an inverse function: the inverse relation is double-valued, unless the domain is restricted. Here, we're just going to consider these to be "solve for ..." problems, without too much concern for domain or range.
__
1) x = f(y)
x = (1/4)(y -6)² +1
4(x -1) = (y-6)² . . . . . . subtract 1, multiply by 4
±2√(x -1) = y -6 . . . . square root
y = 6 ± 2√(x -1) . . . . inverse relation
f⁻¹(x) = 6 ± 2√(x -1) . . . . in functional form
__
3) x = √(y +2) -4
x +4 = √(y +2) . . . . add 4
(x +4)² = y +2 . . . . square both sides
y = (x +4)² -2 . . . . . subtract 2
__
5) x = ∛(y +4) +4
x -4 = ∛(y +4) . . . . . subtract 4
(x -4)³ = y +4 . . . . . cube both sides
y = (x -4)³ -4 . . . . . . subtract 4
Answer:
the first one, and the last one
Step-by-step explanation: