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bija089 [108]
2 years ago
13

What is the vertex of y<∣x−3∣+5​

Mathematics
1 answer:
Tcecarenko [31]2 years ago
3 0

Answer:

(3, 5)

Step-by-step explanation:

The graph is is the standard y=|x| except the values tells you that x shifts 3 (within the absolute value or parentheses x does the opposite) to the right and the y value shifts 5 up (numbers outside parentheses affects y and does what it says). You can try using a table of values then graphing to check your answer.

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5. Find the volume of the composite space figure to the nearest whole number. (1 point)
-BARSIC- [3]

Answer:

  (d)  944 mm³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

__

<h3>base area</h3>

Here, the base of the prism is a rectangle with a semicircle on top. The circle has a diameter of 9 mm, so a radius of 4.5 mm. The area of the semicircle is ...

  A = 1/2πr² = 1/2π(4.5 mm)² ≈ 31.809 mm²

The area of the rectangle is the product of its length and width.

  A = LW = (9 mm)(6 mm) = 54 mm²

So, the total base area is ...

  31.809 mm² +54 mm² = 85.809 mm²

<h3>prism volume</h3>

The prism volume is this area multiplied by the length of the figure:

  V = Bh = (85.809 mm²)(11 mm) ≈ 944 mm³

The volume of the figure is about 944 mm³.

8 0
2 years ago
In addition to age, the gomez score was originally based on the measurements of:
Musya8 [376]
Measures of height
width does not matter
3 0
3 years ago
Tell you what (since some of y’all wanna lurk), imma start speaking your language. I’ll give 61 points to whomever can help me o
Alla [95]

the first answer is 14

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6 0
3 years ago
Read 2 more answers
A square rug has an inner square in the center. The side length of the inner square is x inches and the width of the outer regio
Gwar [14]

Answer: area of the outer part of the​ rug= 16 -x²

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Area of a square: Side²

Since the area of the rug including the inner square is:  

Area of the rug = 4² =16 in²

And the area of the inner square is equal to:

Area if the inner square = x²

To obtain the area of the outer part of the rug we have to subtract the area of the inner square to the area of the rug.

Area of the outer part of the rug= 16 -x²

Feel free to ask for more if needed or if you did not understand something.

6 0
3 years ago
Sam put a 12-inch ruler into a cup. If 3 inches of the ruler were sticking out of the top of the cup, how deep was the cup?
Goryan [66]

Answer:

9 inches deep

Step-by-step explanation:

12 inches - 3 inches = 9 inches

8 0
3 years ago
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