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)
Step-by-step explanation:
3p + 7q = 55
7p + 7q = 91
(-)
-4p=-36
p=9
q=4
Answer:
x=21
Step-by-step explanation:
We know that C is a right angle, which means that x + 3x+6 = 90
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Answer:
-15/2 or -7.5 or -7½
Negative StartFraction 15 Over 2 EndFraction
Step-by-step explanation:
Slope or gradient of a line is the ratio of change in y co-ordinates to the change in x co-ordinates.
Therefore;
M=∆y÷∆x
The change in y co-ordinates is given by
∆y=y2-y1
Similarly, change in x co-ordinates is given by
∆x=x2-x1
Given the two points as (5, 80) and (7, 65)
X1=5 Y1=80
X2=7 Y2=65
∆y=65-80=-15
∆x=7-5=2
Hence ∆y÷∆x will be -15÷2=-7.5 or -7½
Negative StartFraction 15 Over 2 EndFraction
Answer:
El pelotero ha bateado imparables en el 35% de sus intentos.
Step-by-step explanation:
Dado que un pelotero profesional ha bateado 14 imparables en 40 turnos al bate, para hallar la razón entre las veces que ha bateado imparables y los turnos que ha tenido que batear se debe realizar el siguiente cálculo:
14 / 40 = X
0.35 = X
0.35 x 100 = 35
Por lo tanto, el pelotero ha bateado imparables en el 35% de sus intentos.
