Answer:
(1, -1)
Step-by-step explanation:
we isolate y in the first equation
2x+y=1
-2x. -2x
y=1-2x
and now we fill y into second equation
4x-2(1-2x)=6
4x-2+4x=6
8x-2=6
+2 +2
8x=8
/8 /8
x=1
and now to find y we insert x
2(1)+y=1
2+y=1
-2. -2
y= -1
hopes this helps
Area = Length x width
Area = 12 x 8.6
Area = 103.2 square yards.
Answer:
b = 24 ft
h = 10 ft
Step-by-step explanation:
120 = ½hb
120 = ½h(3h - 6)
240 = h(3h - 6)
240 = 3h² - 6h
80 = h² - 2h
0 = h² - 2h - 80
0 = (h - 10)(h + 8)
h = 10 ft or -8 ft
we ignore -8 as it makes no sense for a triangle side length.
b = 3(10) - 6 = 24 ft
Answer: 14s - 7s/2 = 84
Step-by-step explanation:
Given that s is the length of the unknown side:
Area of the shaded region = 84
Area of rectangle - Area of triangle = 84
Area of rectangle = L * W
= 14 * s
= 14s
Area of triangle = ¹/₂ * base * height
= ¹/₂ * 14 * s/2
= 7s/2
Area of shaded region:
14s - 7s/2 = 84
Solving for s:
14s - 7s/2 = 84
28s - 7s = 168
21s = 168
s = 168/21
s = 8 inches
There are 9 candies in total, with 5 being orange. Think of it. For the first grab, you have a 5/9 chance of it being orange flavored. Now there are 4 orange flavored candies, and 8 total candies in the bag. Grabbing a second candy, Billy has a 4/8 chance of grabbing an orange flavored candy. So your two fractions are...
5/9, 4/8
Can you combine these two fractions for a final answer?
