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hodyreva [135]
3 years ago
13

Please help its urgent ​

Mathematics
1 answer:
hram777 [196]3 years ago
5 0

Answer:

<h2>Function is y = x.</h2><h2>Domain: -3 \leq x \leq 2.</h2><h2>Range: -5 \leq y \leq 4.</h2>

Step-by-step explanation:

In the given image, the line passes through (-1, -1) and (1, 1).

Let the equation of the line is y = mx + c, where m is the tangent of the line and c is a constant.

Putting the co-ordinates of the points in the equation, we get -1 = -m + c and 1 = m + c

From the two equations we get, c = 0 and m = 1.

Hence, the function is y = x.

Domain is -3 \leq x \leq 2.

Range is -5 \leq y \leq 4

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Answer:

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c. Domain - x= all real numbers

d. Domain - x= All real numbers

Step-by-step explanation:

The domain of a function is all the possible x values. It is easy to solve for domain by graphing the function.

a graph - blue

b graph - red

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The volume is 420 cubed inches 
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A simplified model of a particular monument is a rectangular pyramid placed on top of a rectangular prism, as shown. The volume
timama [110]

*See attachment for the simplified model of the monument

Answer:

The correct option is B. 13ft.

YES to option B. NO to A and C.

Step-by-step Explanation:

=>Given: Model of the monument consisting of a rectangular pyramid and a rectangular prism having a total volume of 66ft³.

Volume of monument = Volume of Pyramid + Volume of Prism = 66ft³

=>Dimensions of given rectangular pyramid:

base length (l) = 3ft

base width = 2ft

height of pyramid (h) = ? (h = Unknown)

Base Area (B) = l × w = 3 × 2 = 6ft²

Volume of pyramid = ⅓ × base area (B) × h = ⅓ × 6 × h

V of Pyramid = 2h ft³

=> Dimensions of the rectangular prism:

base length (l) = 3ft

base width (w) = 2ft

Height of prism (h) = 10ft

Base area (B) = l × w = 3 × 2 = 6 ft³

Volume of prism = base area (B) × height (h)

V of prism = 6 × 10 = 60 ft³

We are required to find the possible height of the monument.

Height of monument = height of pyramid + height of prism

Height of pyramid is unknown (h)

Height of prism = 10ft

Let's find the height of the pyramid using the Volume of the monument = volume of pyramid + volume of prism

Thus,

V of monument = 66 ft³

V of pyramid = 2h ft³

V of prism = 60 ft³

Therefore,

66 = 2h + 60

Subtract 60 from both sides

66 - 60 = 2h + 60 - 60

6 = 2h

Divide both sides by 2

3 = h

Height of pyramid (h) = 3ft

Height of monument = h of Pyramid + h of prism

Height of monument = 3 + 10

Height of monument = 13ft.

The correct option is B. 13ft.

YES to option B. NO to A and C.

3 0
3 years ago
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