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lozanna [386]
3 years ago
13

What is the area of the shaded region? 37 ft 29 ft 21 ft 16 ft

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
What shaded region? Was there supposed to be a pic?
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Kim creates a model of a building. The scale of her model building is 1 foot to inch. Some of the measurements are
malfutka [58]

Answer:

height: 16 inch

length of base: 10 inch

width of base: 50 feet

Step-by-step explanation:

128*(1/8)=16 inch

80*(1/8)=10 inch

x*1/8=6.25

x=6.25*8=50 feet

7 0
2 years ago
Read 2 more answers
the vertex of this parabola is at (5,5). when the x-value is 6, the y-value is -1. what is the coefficient of the squared in the
zlopas [31]

Answer: OPTION D.

Step-by-step explanation:

The vertex form of a quadratic function is:

y= a(x - h)^2 + k

Where (h, k) is the vertex of the parabola and "a" is the coefficient of the squared in the parabola's equation.

We know that the vertex of this parabola is at (5,5) and we also know that when the x-value is 6, the y-value is -1.

Then  we can substitute values into  f (x) = a(x - h)^2 + k and solve for "a". This is:

-1= a(6- 5)^2 + 5\\\\-1=a+5\\\\-1-5=a\\\\a=-6

7 0
3 years ago
The leg of the isosceles triangle is two less than three times the length of its base. If the perimeter of the triangle is 45 m,
choli [55]

Answer:

19 m

Step-by-step explanation:

base=x

leg=3x-2

3x-2+3x-2+x=45

7x-4=45

7x=49

x=7

leg=3x+2=3(7)-2=19

7 0
2 years ago
Tyra is laying down square carpet pieces in her photography studio. Each square carpet piece is 1 yard by 1 yard. If Tyra's phot
irakobra [83]
Studio = 7 yards by 4 yards

Area = 7*4 = 28 square yards.

Area of square carpet = 1 yard * 1 yard = 1 square yard

Number needed = Area of studio / Area of square carpet = 28 / 1 = 28

Number needed = 28 
3 0
3 years ago
Identify the vertex, axis of symmetry, maximum, or minimum, domain and range of each function.
Fynjy0 [20]

Answer:  see below

<u>Step-by-step explanation:</u>

The vertex form of a quadratic equation is:    y = a(x - h)² + k     where

  • "a" is the vertical stretch (positive = min [U], negative = max [∩])
  • (h, k) is the vertex
  • Axis of Symmetry is always: x = h
  • Domain is always: x = All Real Numbers
  • Range is y ≥ k when "a" is positive or y ≤ k when "a" is negative

a) y = 2(x - 2)² + 5

        ↓       ↓      ↓

      a= +   h= 2   k= 5

Vertex: (h, k) = (2, 5)

Axis of Symmetry: x = h  →  x = 2  

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range:  y ≥ k → y ≥ 5

b) y = -(x - 1)² + 2

        ↓       ↓      ↓

      a= -   h= 1   k= 2

Vertex: (h, k) = (1, 2)

Axis of Symmetry: x = h  →  x = 1  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ 2

c) y = -(x + 4)² + 0

        ↓       ↓      ↓

      a= -  h= -4   k= 0

Vertex: (h, k) = (-4, 0)

Axis of Symmetry: x = h  →  x = -4  

Max/Min: "a" is negative → maximum

Domain: x = All Real Numbers

Range:  y ≤ k → y ≤ 0

d) y = 1/3(x + 2)² - 1

        ↓       ↓      ↓

      a= +  h= -2   k= -1

Vertex: (h, k) = (-2, -1)

Axis of Symmetry: x = h  →  x = -2  

Max/Min: "a" is positive → minimum

Domain: x = All Real Numbers

Range:  y ≥ k → y ≥ -2

6 0
3 years ago
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