This is a right triangle, so first find the distance between the two legs...
Points where the numbers are the same indicate a point that is on the same axis as the other
(-3, 3) and (-3, 2) have a distance of 1
(-3,2) and (1,2) have a distance of 4
The area formula for a triangle is 1/2bh and in this case 1/2(1)(4) = 2
The area is 2
13/15-1/4
=52/60-15/60
=52-15
______
60
=37/60
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Answer: 2(x^3+2x+3x+6)
Step-by-step explanation:
Answer:
x=3
y=-2
Step-by-step explanation:
2x - 5y = 16
3x + 2y = 5
Solve for x in the first equation.
2x - 5y = 16
2x = 16 + 5y
x = (16 + 5y)/2
x = 8 + 5/2y
Put x as 8 + 5/2y in the second equation and solve for y.
3(8+5/2y) + 2y = 5
24+15/2y + 2y = 5
24 + 19/2y = 5
19/2y = 5-24
19/2y = -19
y = -2
Put y as -2 in the first equation and solve for x.
2x - 5(-2) = 16
2x +10 = 16
2x = 16-10
2x = 6
x = 3
Answer:
4/5
Step-by-step explanation:
cos B = 3/5
cos Ф = adjacent/hypothesis
hypothesis ² = adjacent² + opposite²
5²= 3²+ o²
25 = 9+o²
25-9=o²
16 = o²
√16 = o = 4
Sin B = opposite/hypothesis = 4/5