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3 years ago

NEED HELP ASAP PLEASE!!!!!!!!!

Mathematics

2 answers:

Elena-2011 [213]3 years ago

8 0

Answer:

slope of two points is m=-7/5

SLOPE OF THE EQUATION GIVEN -7/5

PARALELL

Step-by-step explanation:

ankoles [38]3 years ago

5 0

Answer:

1) m=-7/5

2) m=-7/5

3) parallel

Step-by-step explanation:

the first part:

graph the points and then find the slope

m=-7/5

the second part:

slope= m in y=mx+b

m=-7/5

the last part:

they are parallel because they have the same slope

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soldi70 [24.7K]

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3 years ago

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expeople1 [14]

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3 years ago

Re-write the following expression using ADDITION ONLY:<br> 12- 3+16 - 37 - (-20)

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3 years ago

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a 16 inch wire is to be cut. one piece is to be bent into the shape of a square, whereas the other piece is to be bent into the

Lyrx [107]

1. Let x be a length of square side, then the square perimeter is 4x (you need to cut 4x from 16 in. to make a square with side x in.). Then 16-4x is remained length of wire and you have to make form this piece a rectangle with sides one of which is twice bigger than another. If y is length of the smaller side, then 2y is length of the bigger side and rectangle perimeter is y+2y+y+2y=6y. You have 16-4x in. of wire left, so 6y=16-4x and $y= \frac{16-4x}{6}$ .

2.
$A_{square}=x^2 \\ A_{rectangle}=y\cdot 2y=\frac{16-4x}{6}\cdot2\cdot\frac{16-4x}{6}= \frac{(16-4x)^2}{18} \\ A(x)=A_{square}+A_{rectangle}=x^2+\frac{(16-4x)^2}{18}$ .

3. Find the derivative of the function A(x):
$A'(x)=2x+ \dfrac{2(16-4x)\cdot(-4)}{18} =2x- \dfrac{4(16-4x )}{9}$ .

4. Solve the equation A'(x)=0:
$2x- \dfrac{4(16-4x )}{9}=0 \\ 18x-64+16x=0 \\ 34x=64 \\ x= \frac{32}{17}$

5. Since $y= \frac{16-4x}{6}$ you have

$y= \dfrac{16-4 \frac{32}{17} }{6} = \dfrac{16\cdot17-4\cdot32}{6\cdot 17} = \dfrac{24}{17}$ .

Answer: <span>the width of the rectangle is $\frac{24}{17}$ </span>

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4 years ago