Answer:
y = -4
Step-by-step explanation:
5.1y = –0.3y – 21.6
5.1y + 0.3y = -21.6
5.4y = -21.6
y = -4
Answer:
3
Step-by-step explanation:
P is the in-center
⇒PA=PE=PD because they are in-radius of the in-circle
We know that, tangent segments drawn from a point outside the circle are always equal in length
⇒DK=EK=7.2
In right triangle PKE,
using Pythagoras' Theorem : 
⇒
⇒
⇒
⇒
Therefore, 
There are two possibilities, and we don't know which situation is true.
<em>#1).</em> School is in the middle, between home and grandparents.
Home --------- 3/8 ----------- School --------- 2/8 ------- Grandparents .
If this is true, then in the whole day, Tasha walks
(3/8 + 2/8 + 2/8 + 3/8) = 10/8 = <u>1.25 miles</u> .
===========================================
<em>#2):</em> Grandparents house is in the middle, between home and school.
Tasha passes by them on her way to school, and stops there to visit
on her way back home.
Home ------- 1/8 ------- Grandparents ---------- 2/8 ---------- School
If this is true, then in the whole day, Tasha walks
(3/8 + 2/8 + 1/8) = 6/8 = <u>3/4 mile</u> .