Finding an arc length requires knowing a bit about the geometry of a circle. Since the arc is a portion of the circumference, if you know what portion of 360 degrees the arc’s central angle is, you can easily find the length of the arc.
Answer:
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Step-by-step explanation:
As shown you have an equality, not an inequality.
-6x+2=2(5-x) distribute through parenthesis
-6x+2=2(5)+2(-x)
-6x+2=10-2x add 2x to both sides
2x-6x+2=10-2x+2x
-4x+2=10 subtract 2 from both sides
-4x+2-2=10-2
-4x=8 divide both sides by -4
-4x/(-4) = 8/(-4)
x = -2
With the ≥ or ≤ sign you would solve the exact same way
except for the point where when dividing both sides by
-4 requires you to reverse the inequality.
Your final answer is either
x≥-2 if your initial inequality was
6x+2≤2(5-x)
OR
x≤-2
if your initial inequality was
6x+2≥2(x-2)
Yes they are you can put it in a calculator and see
Answer:
The original nimber is 67.
Step-by-step explanation:
Let the two digits be x and y.
According to the question.
The sum of two digits of a two digit number is
x + y = 13
or, x = 13 - y
And, a two digit number can be written as
x × 10 + y
when the digits are reversed, the number can be written as
y × 10 + x
the original number increases by 9. i.e.
y x 10 + x = x × 10 + y + 9
Replacing value of x by 13 - y,
y × 10 + 13 - y = 10(13 - y) + y + 9
10y + 13 - y = 130 - 10y + y + 9
9y + 13 = 139 - 9y
18y = 139 - 13
18y = 126
y = 126/18
y = 7
So, x = 13 - y
= 13 - 7
= 6
The original number is x × 10 + y = 6 x 10 + 7 = 67.
I hope this helps! Just follow the instructions.
