Answer:
y = -1/3 x+9
Step-by-step explanation:
First find the slope between the two points
m = ( -1 -8)/(2 - 5)
-9/-3
=3
We want a line that is perpendicular so it is the negative reciprocal
-1 /(3)
The slope of the perpendicular line is -1/3
y= mx+b where m is the slope and b is the y intercept
y = -1/3x+b
We have a point of (6,7)
7 = -1/3 (6) +b
7 = -2 +b
Add 2 to each side
7 +2 = -2+b+2
9 = b
The equation of the line is y = -1/3 x+9
Answer:
12 hours
Step-by-step explanation:
In 1 hour jack mows 1/4 of the lawn
Together they mow half a lawn in 1.5 hours
Which is a whole lawn in 3 hours
in one hour together they mow 1/3 of the lawn
It takes Jill x hours to mow the lawn
in one hour Jill mows 1/x of the lawn
Working together in one hour
jack + jill = together
1/4 + 1/x = 1/3
1/x = 1/3 - 1/4
1/x = 4/12 - 3/12
1/x = 1/12
Cross multiply
12 = x
It takes Jill 12 hours to mow the lawn
Answer:
112 in.³
Step-by-step explanation:
This box is a combination of two rectangular prisms:
bottom - 9 in. by 2 in. by 4 in.
top - 5 in. by 2 in. by 4 in.
total volume = 9 in. × 2 in. × 4 in. + 5 in. × 2 in. × 4 in.
total volume = 112 in.³
Step-by-step explanation:
1.9 is a bigger number than 1.09
$1.09 = 1 and 9 hundredths
$1.90 = 1 and 9 tenths
1.09 < 1.9
