Use distance formula d=sqrt root (y2-y1)^2+(x2-x1)^2. So (-3, 4) and (1, 7). D= sqrt root ( 7-4)^2+(-3+1)^2. So now solve d= sqrt (3)^2+(-2)^2. Now d= sqrt 9+4. D= sqrt 13 or 3.60555
Answer:
0.40x = 320
Step-by-step explanation:
If 40% of the total houseplants watered = 320
0.40 times x (total houseplants) = 320
Given:
If you divide any natural number n by 4, you get a remainder r.
To find:
The values of r if 
. Also find the domain and range.
Solution:
It is given that any natural number n by 4, you get a remainder r.
Where, n is a natural number, q is quotient, r is the remainder.
For 
,
So, 
.
For 
,
So, 
.
For 
,
So, 
.
For 
,
So, 
.
Therefore, the required value are 
if respectively.
The domain of the function is 
and the range of the function is 
.
Answer:
Step-by-step explanation:
Take a triangle ABC, in which AB=AC.
Construct AP bisector of angle A meeting BC at P.
In ∆ABP and ∆ACP
AP=AP[common]
AB=AC[given]
angle BAP=angle CAP[by construction]
Therefore, ∆ABP congurent ∆ACP[S.A.S]
This implies, angle ABP=angleACP[C.P.C.T]
