Solve the following equation:
5.3a - 7.9 = 2.6a + 2.9

a = 4

Step-by-step explanation:

To solve this equation you need to isolate a to one side of the equation. To rearrange the equation you must subtract or add each term to both sides. For example we will add 7.9 to both sides to begin isolating a. You should also add like terms when it is possible.

5.3a - 7.9 = 2.6a + 2.9

       +7.9               +7.9

5.3a=2.6a +2.9 +7.9=

5.3a=2.6a +10.8

Next, you should subtract 2.6a from both sides, and add/ subtract like terms.

5.3a=2.6a +10.8

-2.6a     -2.6a

5.3a-2.6a = 10.8

2.7a = 10.8

Last, you should divide both sides by 2.7, and solve for a.

2.7a = 10.8

/2.7         2.7

a = 10.8/ 2.7

a = 4

y = 5x + 17

step-by-step explanation:

a perpendicular line will be the opposite reciprocal slope of the given equation.   the slope given is -1/5 so the opposite reciprocal is 5

find b:

7 = 5 (-2) + b

7 = -10 + b

17 = b

write equation

y = 5x + 17

d. 8

step-by-step explanation:

the given radical expression is:

we can rewrite this as:

we express as square numbers to get;

the exponents will now cancel out to give.

the correct answer is d