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3 years ago

5

Find the slope of the line given the pair of points. (-2,-2), (-6,5)

1 answer:

Vedmedyk [2.9K]3 years ago

6 0

Answer:

7
— or -1.75
-4

Explanation:

Let’s do the y2-y1/x2-x1 strategy! The equation will be 5+2/-6+2. To simplify, it will be 7/-4. So -1.75 or 7/-4 should be the slope. SCan you make me brainliest? Thank you if you do. Have a good day!

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What percent of 12.4 is 12.4

NARA [144]

To find a percentage divide the first number by the second.

$\frac{12.4}{12.4}$ = $\frac{1}{1}$ =1.00

Now that you have your number, move the decimal point over 2 to the right and add your percentage sign.

100.00%

Your answer is 100%

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Factorise fully 6x^2 - 15x

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The answer is :

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2 years ago

A cardboard box without a lid is to have a volume of 19,652 cm3. Find the dimensions that minimize the amount of cardboard used.

Effectus [21]

Answer:

The dimension of the cardboard is 34 cm by 34 cm by 17 cm.

Step-by-step explanation:

Let the dimension of the cardboard box be x cm by y cm by z cm.

The surface area of the cardboard box without lid is

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Given that the volume of the cardboard is 19,652 cm³.

Therefore xyz =19,652

$\Rightarrow z=\frac{19652}{xy}$ ......(2)

putting the value of z in the equation (1)

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$\Rightarrow f(x,y)=xy+\frac{39304}{y})+\frac{39304}{x}$

The partial derivatives are

$f_x=y-\frac{39304}{x^2}$

$f_y=x-\frac{39304}{y^2}$

To find the dimension of the box set the partial derivatives $f_x=0$ and $f_y=0$ .Therefore $y-\frac{39304}{x^2}=0$

$\Rightarrow y=\frac{39304}{x^2}$ .......(3)

and $x-\frac{39304}{y^2}=0$

$\Rightarrow x=\frac{39304}{y^2}$ .......(4)

Now putting the x in equation (3)

$y =\frac {39304}{(\frac{39304}{y^2})^2}$

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$z=\frac{19652}{34 \times 24}$

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3 years ago

An item on sale cost 95% of the original price. The original price was $51.

hichkok12 [17]

The answer would be $48.45

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GrogVix [38]

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Step-by-step explanation:

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-1(4x-3y=24)

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x=-6

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3 years ago