Answer:
y=x-5
Step-by-step explanation:
slope of line s=-1= m1
lines are perpendicular m1m2=-1 m2=1
equations of t=y-y1=m2(x-x1)
y-2=x+3
y=x+5
P = perimeter
Perimeter of a rectangle = l + l + w + w
or P = 2l + 2w
You know:
P = 150 m
l = w + 5 [length is 5 m greater than the width]
P = 2l + 2w Plug in what you know
150 = 2(w + 5) + 2w Simplify, distribute/multiply 2 into (w + 5)
150 = 2w + 10 + 2w
150 = 4w + 10 Subtract 10 to both sides of the equation
140 = 4w Divide 4 on both sides
35 = w
PROOF l = w + 5 ---> l = 40
P = 2l + 2w
150 = 2(40) + 2(35)
150 = 80 + 70
150 = 150
Answer:
7
Step-by-step explanation:
First, plug-in f(-3) into t in the function:
Second, multiply -2 and -3 to get 6:
⇒
Third, add 6 and 1 to get your answer:
⇒
Answer:
20
Step-by-step explanation:
The distance between two points is found by
d = sqrt( ( x2-x1)^2+(y2-y1)^2
= sqrt( ( 10- -6)^2 + (-4 -8)^2 )
= sqrt( (16^2 + (-12 )^2)
= sqrt(256+144)
= sqrt(400)
= 20
