Hello!
Gerry folded 3/8 of the pile of shirts and Molly folded 1/8 of the pile of shirts, so in total they folded 4/8 of the pile of shirts.
A N S W E R:
4 is half of 8, but it is not more than half of 8, so, together, Gerry and Molly did NOT fold more than half the shirts.
Answer:
B) Hypotenuse = Leg ∙ √2
Step-by-step explanation:
This is a well-known ratio in the 45-45-90 right triangle, but we can derive it.
An isosceles right triangle has two congruent legs forming the right angle and the hypotenuse opposite the right angle. The Pythagorean theorem works since it is a right angle.
Normally, the legs are a and b, and the hypotenuse is c, and we have
a^2 + b^2 = c^2
Here the legs are congruent, so we have a = b.
Substituting a for b, we have
a^2 + a^2 = c^2
2a^2 = c^2
c^2 = 2a^2
c = a√2
Answer: B) Hypotenuse = Leg ∙ √2
Perpendicular lines have slopes that multiply to -1
y=mx+b
slope=m
y=5x+3
5=slope
5 times what=-1
divide both sides by 5
what=-1/5
the equation of a line that passes through the point (x1,y1) and has a slope of m is
y-y1=m(x-x1)
given
m=-1/5
point=(-1,-1)
y-(-1)=-1/5(x-(-1))
y+1=-1/5(x+1)
y+1=-1/5x-1/5
y=-1/5x-6/5
1/5x+y=-6/5
x+5y=-6
the euation is
y+1=-1/5(x+1) or
y=-1/5x-6/5 or
x+5y=-6 (all same equation but different forms)
