Answer:
6 ft < L₃ < 30 ft
Step-by-step explanation:
To obtain the answer to the question given above, we must bear in mind that:
The sum of the length of two sides of any triangle is always greater than the 3rd length i.e
L₁ + L₂ > L₃
With the above information in mind, we can obtain the answer to the question given above as follow:
Length 1 (L₁) = 12 feet
Length 2 (L₂) = 18 feet
Length 3 (L₃) =..?
Case 1:
L₁ + L₂ > L₃
12 + 18 > L₃
30 > L₃
L₃ < 30 feet
Case 2:
L₁ + L₃ > L₂
12 + L₃ > 18
Collect like terms
L₃ > 18 – 12
L₃ > 6 feet
Thus,
6 feet < L₃
Combining case 1 and 2,we obtained:
6 ft < L₃ < 30 ft
Therefore, the possible Lenght of the 3rd side is : 6 ft < L₃ < 30 ft
Answer:
-(x + 1)(7x - 12)
Step-by-step explanation:
Step 1: Factor out a -1
-1(7x² - 5x - 12)
Step 2:
Think. Answer this question: "What 2 numbers multiply up to -12 and adds up to -5 while 7 is an x coefficient?". You answer should be -12 and 1.
So, <em>factor</em>.
-1(x + 1)(7x - 12)
To double check, just expand/FOIL everything and see if it is the same as the original expression.
Answer: if talking square root, it is sqrt3/2. if talking decimals, it is about 0.87.
So convert to inprompery fractions
3 and 7/8=3+7/8=24/8+7/8=31/8
1 and 5/8=1+5/8=8/8+5/8=13/8
so each uses 1/4 cup
1/4=2/8
so
find the difference between 31/8 and 13/8

=

so find how many 2/8 goes into 18/8
2/8 times what=18/8
multily both sides by 8/2 to clear faction
what=144/16=36/4=9/1=9
I made 9 sandwitches
Answer: 540 ft
<u>Step-by-step explanation:</u>
When given the equation in standard form y = ax² + bx + c,
the Axis of Symmetry can be found using the formula x = -b/(2a).
Plug that x-value into the given equation to find the y-value <em>which represents the max (if "a" is negative) or the min (if "a" is positive)</em>
y = -10x² + 160x - 100
↓ ↓ ↓
a= -10 b=160 c= -100

Max: y = -10(8)² + 160(8) - 100
= -10(64) + 1280 - 100
= -640 + 1180
= 540