If the sum of a number and five is doubled, the results is one less than the number. find the number

Step-by-step explanation:

Let the number be "x"

So,

Sum of the number and 5 is DOUBLED, the result would be ONE LESS THAN number, so we can write:

(x + 5)*2 = x - 1

See how we took the sum, added parenthesis and then DOUBLED it (LHS). And RHS is 1 less than number (x). Now we simply use distributive property  [ a(b+c) = ab + ac ]  to simplify and solve for x, the number. Shown below:

Thus,

the number is -11

step-by-step explanation:

for this case we have by definition, if two lines are perpendicular, then the product of their slopes is -1.

then, given the following line:

so,

we are looking for m_ {2}:

then, the line is given by:

we find "b" replacing the given point:

finally, the equation is:

option c