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snow_lady [41]
3 years ago
14

The sum of three consecutive multiples of 4 is 444. Find these multiples.

Mathematics
2 answers:
melamori03 [73]3 years ago
3 0
First multiple of 4 is x = 144

Second multiple of 4 is x + 4 = 144 + 4 = 148

Third multiple of 4 is x + 8 = 144 + 8 = 152
Archy [21]3 years ago
3 0

Step-by-step explanation:

Let the first multiple of 4 be x and second multiple be (x + 4) and third multiple be (x + 8) ...[Since, the number are consecutive multiple of 4]

☯ \underline{\boldsymbol{According\: to \:the\: Question\:now :}}\\

:\implies  \sf x \:  + \:  x  \: +  \: 4 \:  +  \: x \:  +  \: 8  \: = \:  444 \\  \\  \\

:\implies \sf 3x \:  +  \: 12  \: =  \: 444 \\  \\  \\

:\implies \sf  3x  \:  = \:  444 \:  -   \: 12 \\  \\  \\

:\implies  \sf  3x \: =  \: 432 \\  \\  \\

:\implies  \sf x \:  =  \:  \dfrac{432}{3} \\  \\  \\

:\implies\underline{ \boxed{\sf x \:  =  \:  144}} \\

<h2>_________________</h2>

<h3>Therefore,</h3>

\bullet\:\:\textsf{First multiple of 4 = x = \textbf{144}} \\

\bullet\:\:\textsf{Second multiple of 4 = x + 4 = 144 + 4 = \textbf{148}} \\

\bullet\:\:\textsf{Third multiple of 4 = x + 8 = 144 + 8 = \textbf{152}}

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Two\ lines\ are\ perpendicular\ if\ product\ of\ the\ slopes\ is\ equal\ -1.\\\\k:y=\frac{3}{7}x+2\to the\ skolpe\ m_k=\frac{3}{7}\\\\l:y=\frac{7}{3}x-\frac{14}{3}\to the\ slope\ m_l=\frac{7}{3}\\\\m_k\times m_l=\frac{3}{7}\times\frac{7}{3}=1\neq-1\\\\conclusion:the\ lines\ are\ not\ perpendicular\\\\Two\ lines\ are\ parallel\ if\ the\ slopes\ are\ equal.\\\\m_k=\frac{3}{7};\ m_l=\frac{7}{3}\to m_k\neq m_l\\\\conclusion:the\ lines\ are\ not\ parallel


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3 0
3 years ago
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6

Step-by-step explanation:

3x+6+5x+10=64

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Find the distance between the pair of points.
SVEN [57.7K]

Answer:

Distance is \sqrt{290} units

Step-by-step explanation:

Use the distance formula which is d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} where d is the distance between points (x_1,y_1) and (x_2,y_2)

We are given that (x_1,y_1) is (-6,-23) and (x_2,y_2) is (-23,-24), therefore the distance between the two points is:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

d=\sqrt{(-23-(-6))^2+(-24-(-23))^2}

d=\sqrt{(-23+6))^2+(-24+23))^2}

d=\sqrt{(-17)^2+(-1)^2}

d=\sqrt{289+1}

d=\sqrt{290}

Therefore, the distance between (-6,-23) and (-23,-24) is \sqrt{290} units.

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