6(x-6)+4=8(x+2)-4
6(x-6)=8(x+2)-4-4
6(x-6)=8(x+2)-8
6x-36=8[(x+2)-1]
6x-36=8[x+2-1]
6x-36=8(x+1)
6x-36=8x+8
8x-6x=-36-8
2x=-44
Therefore, x=-22, as 2(-22)=-44.
Answer:
Step-by-step explanation:
The arc length is very different from the arc measure, so make sure you know the difference. Arc length is measures in feet or inches or meters or cm, etc., while arc measure is measured in degrees, like angles. The formula we need for arc length includes the circumference of a circle formula, since the arc is part of the circumference. The formula includes the angle that cuts off that arc:
where theta is the central angle that cuts off the arc we are finding the length of. That angle is 100 degrees; the radius if 12. Filling in the formula with those values and using 3.14 for pi:
Simplifying a bit gives us:
Multiplying straight across the top and then dividing by 360 gives you a length of 20.93 inches. The first choice.
Answer:
MO = 17
Step-by-step explanation:
First, you need to define what if the unknown x.
segment MN and NO are equal to MO.
thus, your equation for the combination is x +8
Now set the values equal to each other
x + 8 = 3x - 10 (subtract x from both sides)
8 = 2x - 10 ( get your x value alone, add 10 to both sides)
18 = 2x (simplfy)
x = 9
Now plug x value into MO
3 (9) - 10 = 17
Check with opposing equation:
9 + 8 = 17 √
Answer:
Step-by-step explanation:
To find the answer we have to first group the like terms:
therefore
so
The values that make this statement falser are any in which a and b do not have the same sign.
For instance, if a was equal to 3 and b was equal to -3 than see the results.
|a+b|=
|3+-3|=
|0|= 0
Then see the next equation with the same selections
|a|+|b|
|3|+|-3|
3 + 3 = 6
And this would be true no matter which is the negative, as long as there is one negative and one positive.
