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Tcecarenko [31]
3 years ago
5

FOR 90 POINTS PLEASE HELP

Mathematics
1 answer:
miskamm [114]3 years ago
7 0

Answer:

Question 1: RS=47

Question 2: x=6

Step-by-step explanation:

Question 1:

Step 1: 3x+5=2x+15+6x-37

Step 2: 3x+5=8x-22/2

Step 3: 3x+5=4x-11

Step 4: x=16

Step 5: 2(16)+15=32+15=47

<u>RS= 47</u>

<u />

Question 2:

Step 1: 7x+2+25x-14=180

Step 2: 32x-12=180

Step 3: 32x=192  (divide 32 from each side)

<u>x=6</u>

<u />

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<h3><u>Answer:</u></h3>

\boxed{\boxed{\pink{\bf \leadsto Hence \ option\ [d]\ \bigg(y =  \dfrac{5}{2}x + 5\bigg) \ is \ correct  }}}

<h3><u>Step-by-step explanation:</u></h3>

Here from the given graph we can see that the graph the graph intersects x axis at (2,0) and y axis at (5,0). On seeing options it's clear that we have to use Slope intercept form . Which is :-

\large\boxed{\orange{\bf y = mx + c} }

We know that slope is \tan\theta. So here slope will be ,

\red{\implies slope = \tan\theta} \\\\\implies slope =\dfrac{PERPENDICULAR}{BASE} \\\\\bf \implies slope =\dfrac{5}{2}

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\purple{\implies y = mx + c }\\\\\implies y = \dfrac{5}{2}x + 5 \\\\\underline{\boxed{\red{\tt \implies y = \dfrac{5}{2}x + 5 }}}

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Because the y values are the same, all we need to take into account is the difference in the length of the x values. 
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