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2 years ago

Combine k/4 and 5k pls pls pls pls

Mathematics

2 answers:

elena55 [62]2 years ago

8 0

Your answer is 21k/4

slega [8]2 years ago

6 0

$\dfrac k4 + 5k = \dfrac{k + 20k}4 = \dfrac{21k}4$

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Alex_Xolod [135]

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laila [671]

<h3><u>Option A</u></h3>

$4 x^{2}+32 x-80=0$ is the required equation to calculate width of rectangular frame that has a total area of 140 square inches.

<h3><u>Solution:</u></h3>

Given that,

Length of a rectangular frame is given as 2x + 10

Width of the rectangular frame is given as 2x + 6

Total area = 140 square inches

<em><u>The area of rectangular frame is given as:</u></em>

$\text {area of rectangle}=\text {length } \times \text {width}$

Plugging in values, we get

$\begin{array}{l}{(2 x+10)(2 x+6)=140} \\\\ {4 x^{2}+12 x+20 x=80} \\\\ {4 x^{2}+32 x-80=0}\end{array}$

This is the required equation to calculate width of rectangular frame

Solve the above quadratic equation to get the value of "x"

$4 x^{2}+32 x-80=0$

<em><u>Use the quadratic equation formula:</u></em>

$x=\frac{-b \pm \sqrt{b^{2}-4 a c}}{2 a}$

Here a = 4 ; b = 32 ; c = -80

$x=\frac{-32 \pm \sqrt{32^{2}-4(4)(-80)}}{2(4)}$

$x=\frac{-32 \pm \sqrt{2304}}{8}$

x = 2 or x = -10

Now measurement cannot be negative, so taking the positve value of "x", we can calculate the width

So put "x" = 2

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PilotLPTM [1.2K]

Answer:

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Step-by-step explanation:

The slope has a Y-intercept at the -4, which narrows the choices down to 2. Since the slope is leaning left, it's a negative, which will make the answer to this y=-2x-4

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