Bath X Edger Miche b geogebre. org/caserom/grognoz
FINA
+
ora
All changes
Lesson 6 Practice: More Linear Relationships
Task 1: Explain what the slope and intercept mean in each situation
A graph represents the perimetes, s, in units, for an equilateral triangle with side length z units. The slope of the line is 3 and the y-intercept is 0.
Task 2
The amount of money in a cash box after z tickets are purchased for camival games. The slope of the line is
and the interceat is 8
A graph represents the perimeter y in units for an equilateral triangle with side lengths x units the slope of the line is 3 and the y intercept is 0

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

ca = ec

cpctc makes it so that corresponding parts of the triangle you proved to be equal are equal, the other options aren't part of the part of the triangles you proved to be equal.