I accidentally crossed out 29 lol whoops I need help with 27,29,and 31

28 is 21 degrees (easiest question yet ha) Range=80 (highest number)-59 (lowest)=21

30 is x=35 because 80+25+40=145

180-145=35

Just to show you I know the easy ones xD

RainbowPanda
Apr 17, 2018

#1**+2 **

27....We * could* find the inverse of the function...but....the easier method is to just solve this :

-10 = (x - 1) / 4 multiply both sides by 4

-40 = x - 1 add 1 to both sides

-39 = x = f^{-1} (-10)

29 We have this form

y = a (x - h)^2 + k where h, k are the coordinates of the vertex

So we have

y = a (x - -3 )^2 + 5

y = a (x + 3)^2 + 5

Since the point (2, -10) is on the graph, we can solve for "a"

-10 = a ( 2 + 3)^2 + 5 subtract 5 from both sides

-15 = a (5)^2

-15 = 25a divide both sides by 25

-15/25 =a

-3/5 = a

So...the function is y = (-3/5)(x + 3)^2 + 5

The y intercept occurs where x = 0 ....so....

y = (-3/5)(0 + 3^^2 + 5

y = (-3/5)(3)^2 + 5

y = (-3/5)*9 + 5

y = -27/5 + 25/5

y = - 2/5

Here's a grpah to confirm this : https://www.desmos.com/calculator/ecloqpgull

Lst one.... we can always divide a polygon of n sides into (n -2) triangles.....since each triangle has 180 degrees of measure, then the sum of the interior angles is just 180 (n - 2)

So....we can solve this

900 = 180 (n - 2) divide both sides by 180

5 = n - 2 add 2 to both sides

7 = n (7 sides)

CPhill
Apr 17, 2018