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antoniya [11.8K]
3 years ago
15

A city manager wants to add a playground in a new city park. The rectangle below represents the plan for the dimensions of the r

ectangular playground.
area = x^2 + 18x + 45; Width=W; Length= x+15

a. Find the width (w) of the rectangle if the area of the rectangle is x2 + 18x + 45.
b. Find the dimensions (length × width) and the area of the playground if x = 8 yards.
Mathematics
1 answer:
tatiyna3 years ago
8 0
The answer to letter a is (x+3)(x+15). The answer to b is 640 yards.
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5q - p + p + 1, please help!
Mamont248 [21]
So basically you just add the like terms to simplify the equation. You have 5q-p+p+1 you can cancel out the both p’s because one is negative and one is positive. That leaves you with 5q + 1 they are not like terms so you cannot simplify them so your simplified equation is 5q +1
3 0
2 years ago
How many ways are there to choose a committee of 7 people from a group of 10 people?7201208405040?
lyudmila [28]

Answer: 120

---------------------------------------------------------------------------------------

Explanation:

We have seven slots to fill. Let's call the slots A, B, C, D, E, F, G

There are 10 choices for slot A

There are 9 choices for slot B

There are 8 choices for slot C

There are 7 choices for slot D

There are 6 choices for slot E

There are 5 choices for slot F

There are 4 choices for slot G

We count down because each previous slot reduces the pool to choose from. Multiply those values out: 10*9*8*7*6*5*4 = 604800

Now divide that result by 5040. Why 5040? Because this is the number of ways to arrange 7 people within a single grouping. Note how 7! = 7*6*5*4*3*2*1 = 5040. W're dividing because order does not matter for any committee.

So we have 604800/5040 = 120 which is the answer we want

---------------

Side note: We could use the alternate route of the nCr combination formula

nCr = (n!)/(r!*(n-r)!)

where n = 10 and r = 7


5 0
3 years ago
What is the vertex of the function h(x)=|x+6|+3
meriva

Answer:

(-6, 3)

Step-by-step explanation:

The function f(x) = a |x − h| + k has its vertex at (h, k).

In this case, the vertex is (-6, 3).

8 0
3 years ago
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KatRina [158]

Answer:

Step-by-step explanation:

I understand

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