Answer:b=5
Step-by-step explanation:the formular for pythagoras theory is
C^2=a^2+b^2
13^2=12^2+b^2
169=144+b^2
Collect like terms
169-144=b^2
b^2=25
Take the the square root of both sides
b=square root of 25
b=5
Answer: 300 square feet
Step-by-step explanation:
length of walkway = 20 + 2x
width of walkway = 15 + 2x
A(x) = (20 + 2x)(15 + 2x)
A(x) = 300 + 30x + 40x + 4x2
A(x) = 300 + 70x + 4x2
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:
1.5 or -5
Step-by-step explanation:
2x²+7x-15=0
Divide by 2:
x²+7x/2-15/2=0
x=-7/2/2 ± √49/4(4)+15/2
=-7/4 ± √49/16+120/16
=-7/4± √169/16=-7/4 ±13/4
=6/4 or -20/4
=1.5 or -5
