The distance (d) between two points (x1,y1) and (x2,y2) is given by the formula
d = √ ((X2-X1)2+(Y2-Y1)2)
d = √ (-400--800)2+(300-200)2
d = √ ((400)2+(100)2)
d = √ (160000+10000)
d = √ 170000
The distance between the points is 412.310562561766
The midpoint of two points is given by the formula
Midpoint= ((X1+X2)/2,(Y1+Y2)/2)
Find the x value of the midpoint
Xm=(X1+X2)/2
Xm=(-800+-400)/2=-600
Find the Y value of the midpoint
Ym=(Y1+Y2)/2
Ym=(200+300)/2=250
The midpoint is: (-600,250)
Graphing the two points, midpoint and distance
P1 (-800,200)
P2 (-400,300)
Midpoint (-600,250)
The length of the black line is the distance between the points (412.310562561766)
Answer:
The first one is correct.
Step-by-step explanation:
-3.5 is inside of the shaded area of the line.
I hope this helps.
Answer:
7 × x = 315
x = 315 ÷ 7
x = <u>4</u><u>5</u>
<u>4</u><u>5</u><u> </u><u>is</u><u> </u><u>the</u><u> </u><u>answer</u><u>.</u>
Answer: Exponential function: 
Step-by-step explanation:
Exponential function:
, a = initial value , x= time, b= growth factor , b= 1+r , where r=rate of growth.
Given: Initial population = a= 12,000,
rate of growth = r= 5% = 0.05
Then, b= 1+r= 1+ 0.05 = 1.05
Substitute value of a and b in (i), we get

Hence, The required exponential function:
, where x= time.
<span>(-5y^3 - 7y) + (7y^3 + 8y +9)
</span>
-5y^3+7y^3-7y+8y+9 <---- Group like terms
-5y^3+7y^3+y+9 <---- Add similar elements
Answer: 2y^3+y+9
Read it carefully as it may look confusing with the symbols.