PLEASE HELP ASAP MATH
1 answer:
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Answer:
≈ 0.9 cm²
Step-by-step explanation:
I don't know if there is any easier way to solve this, I use 8th grade slope and line method to solve. suppose A is on origin, then the coordinates of triangle ABC are (0,0) (1,3) (4,1) and polygon DEFGH intersect line BC at F and G.
F is the intersect of y=2 and line BC, while G is intersect of x=3 and line BC.
Line BC: pass (1,3) and slope (m) = (1-3)/(4-1) = - 2/3,
F(x,2)
(2-3) / (x-1) = -2/3
2x-2 = 3 x = 2.5
*<u>F (2.5 , 2</u>)
G (3,y)
(y-3) / (3-1) = -2/3 y = 5/3
*<u>G (3 , 5/3)</u>
*<u>point I (3 , 2</u>)
segment FI = 3-2.5 = 0.5 = 1/2
segment GI = 2 - 5/3 = 1/3
area ΔFIG = (1/2 * 1/3) / 2 = 1/12 = 0.083
area of polygon DEFGH (region colored RED) = 1 - 0.083 = 0.917 ≈ 0.9 cm²
Answer:
y – 1/3 = 3/4 (x – 4)
Step-by-step explanation:
The equation of a line is given by
Where
m is the slope, and
is the coordinates of the point given
<em>It is giventhat the slope is 3/4, so m = 3/4. Also, the point is (4, 1/3) so this is </em>
<em />
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Plugging it into the formula, we get:
Hence, 2nd option is the right answer.