Step-by-step explanation:
So, x=width and the width=13+L. The formula for perimeter is 2(L)+2(W) and the total perimeter in this question is 62 feet. That means 2(L)+2(13+L)=62 feet. Solve for L and that's going to be your length. Add the length plus 13 and you'll have the width. Double check the equation by plugging the width and length back into the equation. (Does that help?)
Answer:
<em>It has infinitely as many solutions</em>
Step-by-step explanation:
Equations and Identities
When dealing with equations, we must find values of the variable who mak the expression become an identity.
The expression is an identity regardless on what the value of x is, so we can say the equation has infinite as many solutions. For example x=0 will make the expression look like 3=3 which is an identity. If x=8, we'll obtain 27=27 and so on
Scale factor = 0.5 / 25 = 0.02 inches per foot
on scale drawing of the park the dimensuons will be 600 * 0.02 by 1000*0.02
= 12 inches by 20 inches
Answer:
o
Step-by-step explanation:
the displacement is zero
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

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