Answer:
y=(-5/3)x+29
Step-by-step explanation:
we will use the base formula y=mx+b
In order to be perpendicular, the slope must be the flipped fraction and have the opposite sign, so our m is (-5/3)
y=(-5/3)x+b
You can plug in the (9,14) point in order to find the b
14=(-5/3)(9)+b
14=(-45/3)+b
14=(-15)+b
14+15=b
29=b
and so altogether our equation is y=(-5/3)x+29
There are two pints every quarter.
So let's convert pints to quarter
![\frac{4\frac{1}{2} }{2} =\frac{\frac{9}{2} }{2} = \frac{9}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Cfrac%7B1%7D%7B2%7D%20%7D%7B2%7D%20%3D%5Cfrac%7B%5Cfrac%7B9%7D%7B2%7D%20%7D%7B2%7D%20%3D%20%5Cfrac%7B9%7D%7B4%7D)
There 4 1/2 pint is to 9/4 quarter.
Hope that helps!
p.s. look at my diagram to help you remember
If you mean width, 7 x 7 = 49, so 49 feet, then add on the 3.5 feet due to the 0.5 left over, and you have 52.5
the answer to this question (-2,3)
Answer:
Step-by-step explanation:
This is a Combination (as in permutation vs combination) question the symbol (n r) refers to "n choose r". This is sometimes written as nCr
i.e the question is asking you to find how many combinations each will yield when you chose r items from n item without repetition and order does not matter.
I will only do the first question for you and you can just follow the same steps to solve the rest of the questions.
Recall that
![nCr=\frac{n!}{(r!)(n-r)!}](https://tex.z-dn.net/?f=nCr%3D%5Cfrac%7Bn%21%7D%7B%28r%21%29%28n-r%29%21%7D)
Consider question a) we are given (5 1) or ₅C₁
we can see that n = 5 and r = 1
If we substitute this into the formula:
₅C₁ = (5!) / [ (1!)(5- 1)!]
= (5!) / [ (5- 1)!]
= (5!) / (4!)
= (5·4·3·2·1) / (4·3·2·1)
= 5
hence ₅C₁ = 5