<span>7.6 so i would say 7 medium and 1 small or 8 medium apples
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Answer:
b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Step-by-step explanation:
Simplify the following:
-2 a (a + b - 5) + 3 (2 b - 5 a) + b (6 a + b - 8)
-2 a (-5 + a + b) = 10 a - 2 a^2 - 2 a b:
10 a - 2 a^2 - 2 a b + 3 (2 b - 5 a) + b (6 a + b - 8)
3 (2 b - 5 a) = 6 b - 15 a:
10 a - 2 a^2 - 2 a b + 6 b - 15 a + b (6 a + b - 8)
b (-8 + 6 a + b) = -8 b + 6 a b + b^2:
10 a - 2 a^2 - 2 a b - 15 a + 6 b + -8 b + 6 a b + b^2
Grouping like terms, 10 a - 2 a^2 - 2 a b - 15 a + 6 b - 8 b + 6 a b + b^2 = b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a):
b^2 + (6 a b - 2 a b) + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
a b 6 + a b (-2) = 4 a b:
b^2 + 4 a b + (6 b - 8 b) - 2 a^2 + (10 a - 15 a)
6 b - 8 b = -2 b:
b^2 + 4 a b + -2 b - 2 a^2 + (10 a - 15 a)
10 a - 15 a = -5 a:
Answer: b^2 + 4 a b - 2 b - 2 a^2 + -5 a
Answer is choice D. The other choices involve dilations, or scalings, which basically make the graph taller or flatter depending on what the scale factor is. In the case of f(x-1/2)+3, we shift f(x) to the right 1/2 a unit and up 3.
Given:
The ratio of the measures of the three sides of a triangle is
.
Its perimeter is 31.4 centimeters
To find:
The shortest side of the triangle.
Solution:
Let the measures of the three sides of a triangle are
respectively (in cm).
Its perimeter is 31.4 centimeters.




On further simplification, we get


Divide both sides by 3.


Now, the sides of triangle are



Therefore, the length of the shortest side is 6.978 cm.