Answer:
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes
<u>Given line</u>
<u>In slope-intercept form it is</u>
- - x + 7y = 42
- 7y = x + 42
- y = 1/7x + 6
<u>Perpendicular line has slope - 1/(1/7) = - 7 and its equation is:</u>
<u>Finding b using the point (-2, -1)</u>
- -1 = -7(-2) + b
- -1 = 14 + b
- b = -1 - 14
- b = -15
<u>So the line is</u>
Answer:
Step-by-step explanation: does anyone know? I really need this
No...............................
Answer:
The root beer mug
Step-by-step explanation:
To known what vessels holds more root beer, we must find the volume (this is the holding capacity) of the two vessels. From the description given, the mug is a cylinder while the glass is a cone.
The volume V of a cylinder whose height is h and radius r may be found as
V = πr²h
The volume V of a cone with similar features
V = 1/3πr²h
Hence the volume of the mug shaped basically like a cylinder that is eight inches tall with a radius of three inches
= π * 3² * 8
= 72π Inches³
Given that the cone shaped bottle has a diameter of four inches, the radius r = 4/2
= 2 inches
Hence the volume of the bottle
= 1/3 * π * 2² * 18
= 24π Inches³
Based on comparison, the mug holds more root beer
Write 2 equations, multiply amount bought per month by number of months and add to the starting values :
Marko = 45 + 4M
Tamara = 61 + 2M
Set the equations equal to each other and solve for number of months:
45 + 4m = 61 + 2m
Subtract 45 from both sides:
4m = 16 + 2m
Subtract 2m from both sides:
2m = 16
Divide both sides by 2:
m = 8
Answer: 8 months