Write the rule for the linear function. Remember a function rule is written using f(x)

The rule for the linear function wil be:

Step-by-step explanation:

We know that linear function can be represented using the slope-intercept formula

y = mx+b

where m is the slope and b is the y-intercept

Given the function is linear

Taking two points

Finding the slope between (0, 0) and (1, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

                 =  [1 - 0] / [1 - 0]

                 = 1 / 1

                 = 1

Thus, the slope of the line = m = 1

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

From the graph, it is clear

at x = 0, y = 0

Thus, the y-intercept b = 0

Now, substituting m = 1 and b = 0 in the slope-intercept form of linear function

y = mx+b

y = (1)x + 0         ∵ m = 1, b = 0

y = x

f(x) = x     ∵

Therefore, the rule for the linear function wil be:

c.35

step-by-step explanation:

8+13=21

21+8=29

29+6=35

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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