Answer:
D.(2, 2)
Step-by-step explanation:
- Staring point = (2, -4)
- Since he moved 6 units up, so, there will be change in only y-coordinate of the starting point and x-coordinate will remain unchanged.
- End point of the segment = (2, - 4 + 6) = (2, 2)
For 1. If two lines are parallel, the slopes are the same.
If two lines are perpendicular, the slopes are the opposite reciprocal, or is -1.
2. The answer is 3/2. Because in a perpendicular slope of a line, it has to be opposite sign and the reciprocal.
3.It is parallel.
because first we solve 6x-3y=8
We move the 6x to the other side, making it -6x
Now we have -3y=-6x+8
We use the y=Mx+b
-3y=-6x+8
Then we divide by -3
answer: y= 2x-8/3
now compare
y=2x+3
and
y=2x-8/3
With this we know it’s parallel because it’s the same slope but different y-intercept .
-I hope I helped:,)
Answer:
15 inches
Step-by-step explanation:
1. Use the Pythagorean Theorem: a^2+b^2=c^2
You are already given c (the longest side) and one of the legs which could be a or b.
2. Plug the numbers into the formula and square them.
a^2 + 36^2 = 39^2
Squaring the numbers gives you: a^2 + 1,296 = 1,521
3. Subtract 1,296 from both sides and take the square root of the result.
a^2 = 225
= 15
Answer:
Part a) 
Part b) 
Step-by-step explanation:
Part a) Create a linear equation
Let
t ----> the time in minutes
y ---> the temperature in °F
we know that
The linear equation in slope intercept form is equal to

where
m is the slope or unit rate of the linear equation
b is the y-intercept or initial value of the linear equation
In this problem we have
The slope m is equal to

The y-intercept is

substitute

Part b) How many minutes until the water boils at 212° F?
For y=212° F
substitute in the linear equation and solve for t



