The transformations that always produce congruent figures are TRANSLATIONS, REFLECTIONS, and ROTATIONS. These transformations are isometric, thus, the figures produced are always congruent to the original figures.
The transformation that sometimes produce congruent figures is dilation. It can be enlargement or contraction.
rule: (x,y) → (x+4,y+8)
10, 35 & 40 are all multiples of five
Answer:
Lets calculate the value for each expression to get the answers
f(x) = x² + 6x + 9
g(x) = x² - 9
(f+g)(x) = x² + 6x + 9 + x² - 9
(f+g)(x) = 2x² + 6x
(f+g)(x) = 2x(x + 3)
(f-g)(x) = x² + 6x + 9 - (x² - 9)
(f-g)(x) = x² + 6x + 9 - x² + 9
(f-g)(x) = 6x + 18
(f-g)(x) = 6(x + 3)
(f×g)(x) = (x² + 6x + 9)(x² - 9)
(f×g)(x) = x⁴ - 9x² + 6x³ - 54x + 9x² - 81
(f×g)(x) = x⁴ + 6x³ - 54x - 81
(f÷g)(x) = (x² + 6x + 9) / (x² - 9)
(f÷g)(x) = (x+3)(x+3) / (x+3)(x-3)
(f÷g)(x) = (x+3)/(x-3)
Answer:
20 cm
Step-by-step explanation:
Given that :
P = 1/25 r²h
P = price = 240 ; h = height = 15cm
Inputting values into the equation :
240 = 1/25 * r² * 15
25 * 240 = 15r²
6000 = 15r²
6000 / 15 = r²
400 = r²
Square root of both sides
20 = r
Radius = 20cm
Answer:
114 feet
Step-by-step explanation: