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AlladinOne [14]
3 years ago
10

Please help last question

Mathematics
1 answer:
cestrela7 [59]3 years ago
4 0

Answer:

reflective and slide the y is -1

Step-by-step explanation:

refect over the -1 x axis and the translate x-1 and y-1

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Mai wants to make an open top box by cutting out corners of a square piece of cardboard and folding up the sides. The cardboard
Bumek [7]

Answer:

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

The domain for x is all real numbers greater than zero and less than 5 com

Step-by-step explanation:

<em><u>The question is</u></em>

What is the volume of the open top box as a function of the side length x in cm of the square cutouts?

see the attached figure to better understand the problem

Let

x -----> the side length in cm of the square cutouts

we know that

The volume of the open top box is

V=LWH

we have

L=(10-2x)\ cm

W=(10-2x)\ cm

H=x)\ cm

substitute

V(x)=(10-2x)(10-2x)x\\\\V(x)=(100-40x+4x^{2})x\\\\V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

Find the domain for x

we know that

(10-2x) > 0\\10> 2x\\ 5 > x\\x < 5\ cm

so

The domain is the interval (0,5)

The domain is all real numbers greater than zero and less than 5 cm

therefore

The volume of the open top box as a function of the side length x in cm of the square cutouts is

V(x)=(4x^{3}-40x^{2}+100x)\ cm^3

5 0
3 years ago
HELP!!!! Position and label the triangle on the coordinate plane
Darya [45]

Answer:

Option (2).

Step-by-step explanation:

It is given in the question,

ΔLMN is a right triangle with base LM = 3a units

Hypotenuse MN = 5a

By applying Pythagoras theorem in ΔLMN,

MN² = LM² + NM²

(5a)² = (3a)² + MN²

25a² - 9a² = MN²

MN = √16a²

MN = 4a

Therefore, vertices of the triangle will be L(0, 0), M(3a, 0) and N(0, 4a).

Option (2) will be the answer.

4 0
3 years ago
Solve the equation: x over 2 minus 3 equals 17
qaws [65]

Answer:

40

Step-by-step explanation:

look at the picure for step by step explanation

4 0
3 years ago
Which of the following lists has a mode of 213? / 111, 108, 213, 198, 205/ /212, 215, 213, 211, 220/ /213, 278, 108, 213, 157/ /
Fed [463]
The mode is the most frequent one
The answer is 213, 278 , 108, 213, 157
4 0
3 years ago
Rewrite the equation 2x + 4y + 2 = 3y + 5 in general form. A. 2x + 7y + 7 = 0 B. 2x + y – 3 = 0 C. 2x + y = 3 D. y = –2x + 3
kvasek [131]
2x + 4y + 2 = 3y + 5
2x + 4y - 3y + 2 - 5 = 0
2x + y - 3 = 0
7 0
4 years ago
Read 2 more answers
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