A linear function that represents the number of animals adopted from the shelter is compared to a different linear function that represents the hours volunteers work at the shelter each week. Describe the key features of the functions that are needed to determine if these lines intersect.

Step-by-step explanation:

point slope form

y-y1=m(x-x1)

slope-intercept form

y=mx+b

slope formula

y2-y1/x2-x1

slope of line passing through (3.29,-9.19) & (3.29,4.72)

UNDEFINED

line perpendicular to y=3x-7 & passes through (3,5)

y-5 = -1/3(x-3)

slope of perpendicular lines

negative reciprocals (flip and change signs)

m --> -1/m

covering up method

only used with standard form

-4x + 7y = 56 Find x & y intercepts of equation

x = (-14,0) y = (0,8)

Terry is skiing down a steep hill. Terry's elevation E(t)

in feet after t seconds is given by E(t) = 2000 − 90t.

Write a complete sentence describing Terry's starting elevation and how it is changing over time.

Terry starts at an elevation of 2000 feet and descends at 90 feet per second.

If the graphs of two linear functions are perpendicular, describe the relationship between the slopes and the y-intercepts.

slope: negative reciprocals of one another.  

y-intercept: There is no relationship.

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step-by-step explanation:

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.