Let's imagine we enclosed the entire shape in a 15 inch wide, 21 inch tall rectangle, area 315 sq inches.
From that rectangle we have to take away the 3x6 bottom left corner, and a strip 21-6=15 inches long and 3 inches wide on the right.
A = 15×21 - 3×6 - 3×15 = 315 - 63 = 252 sq in
Answer: D. 252 inches squared, last choice
Answer:
(32/15, -2/5)
Step-by-step explanation:
(1) ³/₂x - 2y = 4
(2) x + ⅓y = 2
(3) 3x - 4y = 8 Multiplied (1) by 2
(4) 3x + y = 6 Multiplied (2) by 3
5y = -2 Subtracted (3) from (4)
(5) y = -⅖ Divided each side by 5
x + ⅓(-⅖) = 2 Substituted (5) into (2)
x - ²/₁₅ = 2
x = 2 + ²/₁₅ Added ²/₁₅ to each side
x = 32/15
The system of equations has only one solution: (32/15, -2/5).
Answer:
It is an octagon if and only if it has eight sides.
Step-by-step explanation:
Answer:
r=10
Step-by-step explanation:
Take 4 away from 5 to isolate your variable. Now you have r/10= 1. figure out the unknown value by placing ten on top which is the same as 1.
To simplest form of a fraction you find the lowest common factor, usually I use this trick: if both numbers are even I keep dividing by 2 to the numerator and denominator till I can't anymore
In this case:
6 divided by 2= 3
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8 divided by 2= 4
now I can't simplify an further because 3 isn't an even number, therefore its the simplest form
remember= my trick only works if both number are even, if not you'll have to find the lowest common factor and divide them by that
