seth is using the figure shown below to prove pythagorean theorem using triangle similarity:

in the given triangle abc, angle a is 90o and segment ad is perpendicular to segment bc.

which of these could be a step to prove that bc2 = ab2 + ac2?
a. by the cross product property, ab^2 = bc multiplied by bd
b. by the cross product property, ac^2 = bc multiplied by bd
c. by the cross product property, ac^2 = bc multiplied by ad
d. by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is

125 yards

step-by-step explanation:

i take 75 plus 50.

55.44 inches

step-by-step explanation:

part a. assuming a perfectly linear relationship, we can find the slope from the first two data points.

slope = m = (change in rainfall)/(change in years)

= (61.80 -62.33)/(2005 -2004) = -0.53/1 = -0.53

then the point-slope form of the equation of the line can be written as

y = m(x -h) +k . . . . . m = -0.53, (h, k) = (0, 62.33)

y = -0.53x +62.33 . . . x = years after 2004

part b. in 2017, x = 2017 -2004 = 13. then the predicted rainfall is

y = -0.53·13 +62.33 = 55.44 . . inches

the predicted rainfall in 2017 is 55.44 in.