The solution to the following equation is x=0 6x+7= 1/2x+7

True
or
False
(The 1/2 is a fraction)

True

Step-by-step explanation:

To see if that is the solution, lets solve the equation.

6x + 7 = 1/2x + 7

Subtract 1/2x from each side to bring it to the right

6x - 1/2x + 7 = 7

Subtract 7 from each side to bring it to the left

6x - 1/2x = 7 - 7

Simplify it

5.5x = 0

Divide 5.5 from each side to leave x alone.

x = 0

The answer is true. I hope this helps!

d. it is a convex pentagon because it has five sides and none of the sides would extend into the inside of the polygon.

step-by-step explanation:

let's cover over the formula of the vertex:

y = a(x – h)^2 + k

in this formula, (h,k) are the vertex, always remember that the positive or negative value of the vertex is based on the sign it has.

for example, if the vertex is -3,-6 then both the x and y value would have the positive sign attached to it and if it were a positive x and y value, then a negative sign would be attached to it.

with that being said, for our problem the x value is a positive one so we are looking for a number with a negative sign next to it, in this case the first and second choice.

however, for the first answer choice it isn't quite part of the formula so we know that the answer choice correctly displays the x value.

to confirm, we can see if the -1 fits correctly with the second answer choice, and as mentioned above a negative number will have a positive sign attached to it. so, for our problem we can see that -1 has been changed to +1, so we can confirm that the second answer choice is correct.

hence, our final answer is y=(x - 1)^2 + 1