Answer:
Step-by-step explanation:
To be rational means to be able to express the result as the ratio of two whole numbers.
a) 4/7 + (-1/3) = 12/21 - 7/21 = 5/21 so rational
b) √(4) • 2/5 = ±2 • 2/5 = ±4/5 so both solutions are rational
24 pie and now they want me to explain but I don’t want to
The graph is labeled correctly, so it is just a matter of counting the "blocks."
B) To get from Jeremy's house to the school, we need to go down 7 blocks and then 3 more blocks for a total of 10 blocks.
C) To get from Jeremy's house to the library, we need to go left 5 blocks and then 2 more blocks for a total of 7 blocks.
∆PQR and ∆SQT are similar, so corresponding sides occur in fixed ratios with one another. This means
SQ / PQ = ST / PR
Solve for x :
8 / ((x + 5) + 8) = (x - 9) / 21
8 / (x + 13) = (x - 9) / 21
168 = (x - 9) (x + 13)
168 = x² + 4x - 117
x² + 4x - 285 = 0
(x + 19) (x - 15) = 0
⇒ x = -19 or x = 15
But x can't be smaller than 9, otherwise ST = x - 9 would be a negative length. So x = 15.
