-x-6+2y=0

Rewrite in slope intercept form, and show steps

Slope intercept form: y=mx+b

-x-6+2y=0

2y=x+6

y=1/2(x+6)

y=1/2x+3

Let me know if this helps!

Step-by-step explanation:

slope intercept is y=mx+b

add -x to the other side to get

-6+2y=x

then add the -6 to get

2y=x+6 then divied by 2 to get

y=1/2x+6/ 2

then simply to get

y=1/2x+3 or y=x/2+3

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

11.2

step-by-step explanation:

when doing tangent the tangent of the angle is equal to the opposite side from the angle over the adjacent side to the angle.

tan43 = x / 12

move 12 over by multiplying each side by 12

12tan43 = x

x = about 11.2