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3 years ago

The length of a rectangular piece of land is 9 cm more than 3 times its width. The perimeter is 418 cm. Find its dimensions.

1 answer:

3 0

Let w represent the width of the rectangle in cm. Then its length in cm is (3w+9). The perimeter is the sum of two lengths and two widths, so is ...

... 418 = 2(w + (3w+9))

... 209 = 4w +9 . . . . . . divide by 2, collect terms

... 200 = 4w . . . . . . . . subtract 9

... 50 = w . . . . . . . . . . divide by 4

... length = 3w+9 = 3·50 +9 = 159

The dimensions of this piece of land are 159 cm by 50 cm.

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Which results only in a horizontal compression of y= 1/х by a factor of 6?

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Answer:

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3 years ago

If one of the roots of the quadratice quation x2+kx-12=0is4,what is the value of k?

uysha [10]

<h3>Given Equation:</h3>

$\huge \purple {\rm { {x}^{2} + kx - 12 = 0}}$

<h3>Value:</h3>

$\huge \purple {\rm {x = 4}}$

$\huge \purple {\rm {The \: value \: of \: k.}}$

<h3>Solution:</h3>

$\huge \purple {\rm { {(4)}^{2} + k(4) - 12 = 0}}$

$\huge \purple {\rm {or, \: 16 + 4 k - 12 = 0}}$

$\huge \purple {\rm {or, \: 4k = - 4}}$

$\huge \purple {\rm {or, \: k = \frac{ - 4}{4} = - 1}}$

<h2>Answer:</h2>

$\huge \purple {\sf {The \: value \: of \: k \: is \: -1}}$

3 0

3 years ago

Read 2 more answers

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anyanavicka [17]

Answer:

1/16 or 0.0625

Step-by-step explanation:

Divide 20 by 320 and you get 1/16 or 0.0625

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3 years ago

Solve this question? 7x - 3x +7 =3 (x - 4)+20

Nady [450]

X=1

To solve this you start by adding like terms on the left side and doing the distributive property and adding like terms on the right. This would get you
4x+7=3x+8

Then you minus 3x on both sides getting
x+7=8

Then subtract 7 from both sides getting x=1.

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3 years ago

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Sonja [21]

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