Answer:
2x-y=-1
Step-by-step explanation:
y + 9 = 2(x + 5)
y + 9 = 2x + 10 [distribute]
y = 2x + 1 [subtract 9 from both sides]
y - 2x = 1 [subtract 2x from both sides]
-2x + y = 1 [put x first]
2x - y = -1 [multiply by -1 to make x coefficient positive]
Answer: 15
Step-by-step explanation:
By the trapezoid midsegment theorem,
Assume that
a and b = the two legs of the right triangle.
c = the hypotenuse.
The area of the right triangle is 750 yd², therefore
(1/2)*a*b = 750
ab = 1500 (1)
The perimeter is 150yd, therefore
a + b + c = 150 (2)
Let the side fenced with wood be a, at $5/yd. Sides b and c are fenced with steel at $10/y. The total cost is $1200, therefore
5a + 10b + 10c = 1200
or
a + 2b + 2c = 240 (3)
From (2), obtain
c = 150 - a - b (4)
Substitute (4) into (3)
a + 2b + 2(150 - a - b) = 240
-a + 300 = 240
a = 60
From (1), obtain
60b = 1500
b = 25
From (4), obtain
c = 150 - 60 - 25 = 65
Answer:
A. The length of the leg fenced with wood is 60 yd.
B. The length of the leg fenced with steel is 25 yd.
Answer:
1/12
Step-by-step explanation:
Probability of an even number
3/6 = 1/2
Probability of one showing up
1/6
Probably of even number on first try and 1 on second try
1/2 * 1/6 = 1/12
It would be negative seeing the key word is down. (:
Hope I could help!
