Where is the blue dot located on the number line

Explanation:

Use the midpoint formula to find the midpoint of -10 and -4

A = -10 = left endpoint

B = -4 = right endpoint

C = midpoint of A and B

C = (A+B)/2

C = (-10+(-4))/2

C = -14/2

C = -7

The value -7 is exactly midway between -10 and -4, so that's the missing tickmark between those values. Consequently, it also means each gap is 3 units wide (i.e., distance from -10 to -7 is 3 units).

Start at -10 and subtract 3 to move to the left by that amount. Do this three times to follow this pattern:

The blue dot is located at -19

17 1/3

step-by-step explanation:

5=812a+9+3

step 1: simplify both sides of the equation.

5=812a+9+3

5=(812a)+(9+3)(combine like terms)

5=812a+12

5=812a+12

step 2: flip the equation.

812a+12=5

step 3: subtract 12 from both sides.

812a+12−12=5−12

812a=−7

step 4: divide both sides by 812.

812a /812 = -7/812

a= -1/116

so the answer is

a=   -1/116