Answer:
Perimeter = 60
Step-by-step explanation:
because l bisects AB:
3y+1 = 5y-5
reduce:
2y = 6
y = 3
and:
2x+4 = 4x-12
reduce:
2x = 16
x = 8
AB = (3y+1) + (5y-5)
AB = 8y-4
substitute for y
AB = 8(3)-4
AB = 20
Perimeter = (2x+4) + (4x-12) + 20
reduce:
perimeter = 6x+12
substitute for x:
Perimeter =6(8)+12
reduce:
Perimeter = 60
For this case we must solve each of the equations proposed:
A) 
We apply distributive property to the terms within parentheses:
Subtracting 6 from both sides of the equation we have:
Dividing between -12 on both sides of the equation:
B) 
We apply distributive property to the terms within parentheses:
We add 5m on both sides of the equation:
Dividing between 2 on both sides of the equation:
C) 
We apply distributive property to the terms within parentheses:
We subtract 14 from both sides of the equation:
Dividing between -7 on both sides of the equation:
D) -
We apply distributive property to the terms within parentheses:
We add 28 to both sides of the equation:
Dividing between -21 on both sides of the equation:
Answer:
Answer:
Step-by-step explanation:
To define the perpendicular line we need to first know the slope of the reference line graphed.
m=(y2-y1)/(x2-x1) we have points (0,5) and (2,1)
m=(1-5)/(2-0)
m=-4/2
m=-2
For lines to be perpendicular their slopes must satisfy
m1m2=-1, we have a line with a slope of -2 so
-2m=-1
m=1/2, so our perpendicular line is so far
y=x/2+b, it must have point (3,2) so we can solve for b
2=3/2+b
b=1/2, so the swimmer will travel along the line
y=x/2+1/2
Answer:
there is a website called desmos and you can type all of that in and it can graph it, hope that helps(: and its free
Answer:
-1 < m ≤ - 5
Step-by-step explanation:
Your expression includes: m, -1, -5, >, ≤
m is the value being compared so it will be in the middle.
# sign m sign #
m is no less than -1: no less than means it is greater than -1, but does not include -1. Therefore, our sign is >
m > -1
m is less than or equal to -5. This means we use ≤ because it can equal -5.
m ≤ -5
Now combine the two expressions
m > -1 – This can also be written as -1 < m.
m ≤ -5
-1 < m ≤ - 5
