Find a rational number halfway in between the two numbers. 7/9 and 3/4
1 answer:
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Answer: c. 8!
Step-by-step explanation:
We know , that if we line up n things , then the total number of ways to arrange n things in a line is given by :-
( in words :- n factorial)
Therefore , the number of ways 8 cars can be lined up at a toll booth would be 8! .
Hence, the correct answer is c. 8! .
Alternatively , we also use multiplicative principle,
If we line up 8 cars , first we fix one car , then the number of choices for the next place will be 7 , after that we fix second car ,then the number of choices for the next place will be 6 , and so on..
So , the total number of ways to line up 8 cars = 8 x 7 x 6 x 5 x 4 x 3 x 2 x1 = 8!
Hence, the correct answer is c. 8! .
<u>Answer:</u>
<u>y+1=-2(x-5)</u> - Point Slope Form
<u>y=-2x+9</u> - Slope Intercept Form
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Step-by-step explanation:
We will be using point-slope formula, as attached in a picture below.
1) Plug in the slope -2 as "m" in point slope form, along with the two points, (5, -1)
<u>y+1=-2(x-5)</u>
2) Next, if you want to put the line into slope-intercept form, you will need to distribute -2 to x and -5:
y+1=-2x+10
3) Now, subtract 1 from both sides:
<u>y=-2x+9</u>
Answer:
The <u>distance</u> <em>between</em> the two given points is equal to √85.
Step-by-step explanation:
Let's recall what the distance formula is:
We are defined our two points as:
- (x₁, y₁) → (1, -7)
- (x₂, y₂) → (7, 0)
We can rewrite this into our different "variables":
- x₁ = 1
- y₁ = -7
- x₂ = 7
- y₂ = 0
Now given our distance formula and our variables, we can find the distance between the two points:
∴ since the radical is already in its simplest form, our distance between the two points is equal to √85.
Hope this helps!