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Elden [556K]
3 years ago
7

Find the missing side length.

Mathematics
1 answer:
Gelneren [198K]3 years ago
5 0

Answer:

94 cm^2.

Step-by-step explanation:

We can split this up into a rectangle of dimensions 6 * 9 and another of dimensions 9 - 5)*10 = 4 * 10.

Answer is 54 + 40 = 94 cm^2.

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G(r)=−(r+11)(r+14)
Oduvanchick [21]

Answer:

The zeros are

Larger r=-11

Smaller r=-14

2)The vertex is (-12.5,-2.25)

Step-by-step explanation:

The given function is:

g(r)=(r+11)(r+14)

This function is already in the factored form therefore it is easy to find the zeros,

(r+11)(r+14)=0

Either (r+11)=0 or (r+14)=0

The zeros are r=-14 or r=-11

b) The expanded form of the given function is:

g(r)=r^2+25r+154

We obtain the vertex form by completing the square:

g(r)=r^2+25r+(\frac{25}{2})^2+154-(\frac{25}{2})^2

The vertex form is:

g(r)=(r+\frac{25}{2})^2-(\frac{9}{4}

Therefore the vertex is (-12.5,-2.25)

8 0
3 years ago
A coffee shop sells coffee to about 500 people every morning, but this can vary by as many as 60 people. On any given day, what
Ivanshal [37]

Answer:

440 ≤ x ≤560

Step-by-step explanation:

  1. |x−500|≤60
  2. Rewrite it as a compound inequality−60≤x−500≤60
  3. Solve for X by adding 500 to each side. -60+500≤x-500+500≤60+500
  4. Leaving you with 440≤x≤560
  5. Answer: The coffee shop is expected to serve a maximum of 560 customers and a minimum of 440 customers per morning.  
4 0
3 years ago
What equation represents the area of a rectangle whose length is x 4 and whose width is x − 9?
Lena [83]
The area of a rectangle is length * width so: (x+4) * (x-9)

(I assumed you meant x+4 just forgot to put the "+" there, if it's something else, then just simply use that instead.) 
4 0
3 years ago
How is the surface area of a prism determined?
Oliga [24]

Answer:

Option b.  sum of all areas of faces

Step-by-step explanation:

we know that

The surface area of the prism is equal to the area of its bases plus the area of its four rectangular lateral faces

so

SA=2B+PH

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

therefore

sum of all areas of faces

7 0
3 years ago
Give the domain and range of each relation. Tell whether the relation is a function. Expain. {(-5,-3), (-3,-2), (-1,-1), (1,0)}
kotegsom [21]

Answer:

It is a function. The first number in each  parenthesis is the domain, and the second number is the range

Step-by-step explanation:


4 0
4 years ago
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