Answer:
h = -t+20
After 8 hours the candle will be 12 inches
Step-by-step explanation:
We have 2 points (time, inches)
(3,17) and (5,15)
We can find the slope
m = (y2-y1)/(x2-x1)
= (15-17)/(5-3)
= -2/2
= -1
We can use point slope form
y-y1 = m(x-x1)
Replace y with h and x with t
h-17 = -1 (t-3)
Distribute
h-17 = -t+3
Add 17 to each side
h-17+17 = -t+3+17
h = -t+20
After 8 hours
h = -t+20
h = -8+20
h= 12
Step-by-step explanation:
Im not sure if its supposed y = -2x + 1 or y = 2x + 1 but I'll solve the problem for both.
First for y = -2x + 1
Since the line has to be parallel to y = -2x + 1
the slopes would be the same.
so, so far the equation would be
y = -2x + b
now we substitute (5,2) into the equation
2 = -2(5) + b
2 = -10 + b (Add 10 to both sides of the equation)
+10 +10
12 = b
Now that we solved for b
The equation would be
y = -2x + 12
^^ This equation is parallel to y = -2x + 1
Now to solve for an equation parallel to y = 2x + 1
Both equations would have the same slope
So far we would have
y = 2x + b
Now we solve for be by substituting the point (5,2)
2 = 2(5) + b
2 = 10 + b (subtract 10 from both sides)
-10 -10
-8 = b
After solving for b
The equation is
y = 2x - 8
This equation is parallel to y = 2x + 1
Answer:
Step-by-step explanation:
43/60
Slope of function B is "rising" 3 and going over to the right by 1. Representing the slope as 3/1 = 3.
Slope of function A is already giving. If you multiply the slope of function B by 2, it will equal the slope of Function A
Answer:
The length of diagonal XU is 6.40 units
Step-by-step explanation:
* Lets explain how to find the distance between two points
- The rule of the distance between two points 
and 
is:
* Lets solve the problem
-From the attached figure:
- The coordinates of the vertex X are (2 , 2)
- The coordinates of the vertex U are (-2 , 7)
∴ The point = (2 , 2)
∴ The point = (-2 , 7)
∴ 
∴ 
∵
∴ 
∵ 
∴ d = 6.40
* The length of diagonal XU is 6.40 units
