(1, 1) and (4, -4)
Slope formula is : m = (y₂-y₁) / (x₂-x₁)
In this case :
x₁ = 1 ; x₂ = 4 ; y₁ = 1 ; y₂ = -4
Now that you know what variable counts as what, we simply just need to plug everything in.
m = (-4 - 1) / (4 - 1)
Simplify.
m = -5/3
Therefore, your slope is -5/3
~Hope I helped~ :)
Answer:
It takes her 25.2 mintes
Step-by-step explanation:
You can just multiply 21 by 1.2 because that's how long she takes per lap and you can get 25.2
Answer:
16. d = distance
r = rate
t = time.
We know that the rate = 4, and time = 11.
=> d = 4 * 11
=> d = 44
17. We know that distance = 36, and time = 4.
=> 36 * r* 4
=> 36 = 4r
=> 36/4 = 4r/4
=> r = 9
Answer:
- 2/5x=7/20x+1/4
- -3/4=-1/20x-1/2
- -3/4+1/20x=-1/2
Step-by-step explanation:
If you add 3/4 to both sides of the equation, you get ...
... 2/5x = 7/20x + 1/4 . . . . first choice
If you subtract 2/5x from both sides of the equation, you get ...
... -3/4 = -1/20x -1/2 . . . . third choice
If you subtract 7/20x from both sides of the equation, you get ...
... -3/4 +1/20x = -1/2 . . . . last choice
Choices 2 and 4 are erroneous versions of choices 1 and 3, so do not apply.
Answer:
There are no extraneous solutions
Reasoning:
An extraneous solution is a solution that isn't valid, it might be imaginary like the square root of a negative number.
first we want to isolate z:
1+sqrt(z)=sqrt(z+5)
^2 all ^2 all
(1+sqrt(z))(1+sqrt(z))=z+5
expand
1+2sqrt(z)+z=z+5
-1 -z -z -1
2sqrt(z)=4
/2 /2
sqrt(z)=2
^2 all ^2 all
z=4
Since there is one solution and it is a real number, there are no extraneous solutions.
