Rohit visited a pumpkin patch with his family. The table shows the relationship between the weight and price of a pumpkin. Isosceles triangle LMN is graphed with vertices L(0, 1), M(3, 5), and N(6,1). What is the slope of side LN?

Work Shown:

L = (0,1)

N = (6,1)

m = slope of LN

m = (y2-y1)/(x2-x1) is the slope formula

m = (1-1)/(6-0)

m = 0/6

m = 0

Points L and N are on the same horizontal level, so line LN is horizontal and completely flat. We can see this by noting the y coordinates are both the same. All horizontal lines have a slope of 0 to indicate no change in y value (ie, no change in rise; no increase nor decrease)

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

beluga wheeeaaalle matt

step-by-step explanation: