Answer:
(25,19)
Step-by-step explanation:
We are to find the location of the train station.
Using the formula for calculating midpoint given as:
M(X,Y) = [(x1+x2)/2, (y1+y2)/2]
X = x1+x2/2
Y = y1+y2/2
Given
M(X,Y) = (11,11)
Bus station (x1, y1) = (-3,3)
Substituting the given parameters into the formula.
11 = -3+x2/2
Cross multiply
11×2 = -3+x2
22 = -3+x2
x2 = 22+3
x2 = 25
Similarly
Y = y1+y2/2
11 = 3+y2/2
Cross multiply
11×2 = 3+y2
22 = 3+y2
y2 = 22-3
y2 = 19
Hence the location of the train station is at (25,19)
It is b because the line intersects at (0,4) and the slope decreases by 2
Y=mx+b
m=slope
paralell lines have the same slope
y=1/2x+3
m=slope=1/2
the slope of the paralelll line is 1/2
Answer:
50
Step-by-step explanation:
2,500/50=50
50x50=2,500
Answer:
side length each 5√2
Step-by-step explanation:
both legs have the same length, as the triangle is a 45 - 90 45
To find one side of the triangle us the cosine of an angle is equal to the ratio of the adjacent side to the hypotenuse.
cos(A)=adj/hyp
cos(A)=adj/10
adj=cos(A) * 10
adj = 5√2