Question:
7x - 11 - 4x = 6
1. Simplify,
3x - 11 = 6
2. Add 11 to both sides
3x - 11 + 11 = 6 + 11
3x = 17
3. Divide 3 from both sides
3x/3 = 17/3
x = 17/3 <===== <em>Answer</em>
Hope this helped!!!
~Shane
Answer:
7.900 cm
Step-by-step explanation:
The computation of the diameter after using the tape is given below:
Since the circumference is 14.8 cm
And it would be decrease by 2.4 cm
So, the new circumference is
= 14.8 - 2.4
= 12.4 cm
Now the radius is
= 12.4 ÷ π
= 3.95
And, the diameter is
= 3.95 × 2
= 7.900 cm
The explicit formula for arithmetic sequence is:
an=a+(n-1)d
where:
a=first term
d=common difference
given:
a3=22
a(17)=-20
substituting this in our equation we get:
22=a+(3-1)d
22=a+2d
a=22-2d........i
also:
-20=a+(17-1)d
-20=a+16d.....ii
but substituting i in ii we get:
-20=22-2d+16d
-20-22=14d
-42=14d
d=-3
but:
a=22-2d
a=22-2(-3)
a=28
thus the formula will be:
an=28-3(n-1)
thus the first term will be 28
the 2nd term will be:
a2=28-3(2-1)
a2=25
the 3rd term will be:
a3=28-3(3-1)
a3=28-6
a3=22
a4=28-3(4-1)
a4=28-9
a4=15
a5=28-3(5-1)
a5=28-3(4)
a5=28-12
a5=15
Answer:
A
Step-by-step explanation:
1) first there are a few rules we need to know:
a) the sum of any two sides of a triangle is always larger than the 3rd side
b) the difference between any two sides of a triangle is always smaller than the 3rd side;
hence,
3+4=7
4-3=1
triangle 3,4,5 follows all the rules,
triangle 13,2,11:
11+2=13
the sum of any two sides must always be GREATER than the 3rd side-so this is not an option
triangle 10,4,5
5+4=9
9<10
not an option
