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:
<h2>10 + 5x ≤ -15</h2>
Step-by-step explanation:
<u>sentence</u> <u>—————————-——————></u> <u>math expression</u>
Ten increased by —————————————> 10 +
the product of a number ‘x’ and 5 —————> 5x
less than -15 —————————-——————> ...... ≤ -15
<em>Conclusion</em>:
10 + 5x ≤ -15
Answer: 2w + 4 = 35
Step-by-step explanation:
Carl's two checked bags and his one backpack together weigh 35kg.
Carl's two checked bags have equal weight so both their weight can be denoted as 2w.
Equation is;
2w + 4 = 35
If you were to solve;
2w + 4 = 35
2w = 35 - 4
w = 31/2
w = 15.5kg
Answer:
JM
Step-by-step explanation:
A tangent line is a line that only intersects a circle at one point.
LG and CJ are not lines, and GH intersects the circle twice (at point G and point H), so JM is the tangent line.
Answer:
1.36 miles per min
Step-by-step explanation: