Similar triangles have corresponding sides with proportional lengths.
AB/BC = DE/EF
5/9 = 7.5/EF
5(EF) = 9 * 7.5
5(EF) = 67.5
EF = 13.5
Answer:
B
Step-by-step explanation:
When there is only rotation and reflection, there is no change in size. A change in size occurs when there is dilation.
18x
Simple as that. 18 times however many times she cuts the grass
Answer: i) 1 - 9x² - 12x
ii) 17 - 3x²
iii) - 20 + 10x² - x⁴
<u>Step-by-step explanation:</u>
g(x) = 3x + 2 h(x) = 5 - x²
i) h(g(x))
h(3x + 2) = 5 - (3x + 2)²
= 5 - (9x² + 12x + 4)
= 5 - 9x² - 12x - 4
= 1 - 9x² - 12x
ii) g(h(x))
g(5 - x²) = 3(5 - x²) + 2
= 15 - 3x² + 2
= 17 - 3x²
iii) h(h(x))
h(5 - x²) = 5 - (5 - x²)²
= 5 - (25 - 10x² + x⁴)
= 5 - 25 + 10x² - x⁴
= -20 + 10x² - x⁴
Answer:
- The amount of water is the dependent value.
- The amount of rice is the independent value.
Step-by-step explanation:
The wording "the amount of water required for different amounts of rice" suggests that the "output" value of the table is the amount of water, and the "input" value is the amount of rice.
That makes "water" the <em>dependent</em> variable, and "rice" the <em>independent</em> variable.
The amount of water is the dependent value.
The amount of rice is the independent value.
