Addition : sum, plus, together, added to, total of, combined, both
Subtraction: difference, minus, take away, fewer than, less than, decreased by are not, change
Multiplication: product of, multiplied by, times, of, double, triple
Division: quotient of, divided by, per, into, out of ratio, of unit price, cut up, separated, share equally, split, half, parts
Answer: Two sides of a triangle have lengths 2 and 7. Find all possible lengths of the third side. Show Answer. difference $$< x <$$ sum $$7 -2 < x < 7+2$$ Answer: $$5 < x < 9$$ Problem 7. Two sides of a triangle have lengths 12 and 5. Find all possible lengths of the third side
Step-by-step explanation: i hope i helped
Answer:
x > -9/4
Step-by-step explanation:
Step 1 :
88
Simplify ——
5
Equation at the end of step 1 :
32 88
(0 - (—— • (2x - 1))) - —— < 0
10 5
Step 2 :
16
Simplify ——
5
Equation at the end of step 2 :
16 88
(0 - (—— • (2x - 1))) - —— < 0
5 5
Step 3 :
Equation at the end of step 3 :
16 • (2x - 1) 88
(0 - —————————————) - —— < 0
5 5
Step 4
-16 • (2x-1) - (88) -32x - 72
5 5
Step 5 :
Pulling out like terms :
5.1 Pull out like factors :
-32x - 72 = -8 • (4x + 9)
Equation at the end of step 5 :
-8 • (4x + 9)
————————————— < 0
5
Step 6 :
6.1 Multiply both sides by 5
6.2 Divide both sides by -8
6.3 Divide both sides by 4
x+(9/4) > 0
Answer: 45,28,13
Step-by-step explanation:
Firstly let’s call integer 3
‘x’
Following the information given the following equations can be constructed:
integer 3 = x
integer 2 = 2+2x because 2x represents 2 times integer 3 (which is x) and plus two
integer 1 =3((2x+2)-x) what we have written is the difference between integer 2 (which was (2x+2)) and integer 3 which was x and simply multiply the result of that subtraction by 3
next we can treat them like their own variables almost.
integer 1 + integer 2 + integer 3 =86
so now plug in the equations we have constructed for each integer:
(3((2x+2)-x)) + (2x+2) + x = 86
to make it easier to read please see the image attached below to solve for x
After you have gone through the image I have included you should notice x= 13 great we got one integer! (Integer 3)
now plug in 13 into our integer equations :
integer 2: 2(13)+2= 28
Therefore integer 2 is 28
integer 1: 3((2(13)+2)-(13))=
3((28-13)
3(15)
45
Therefore integer 1 is 45.
and integer 3 is x which as we now know is equal to 13
Answer:
rational
Step-by-step explanation: