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natulia [17]
4 years ago
6

PLEASE ANSWER QUICKLY ASAP ​

Mathematics
1 answer:
Fynjy0 [20]4 years ago
7 0

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope / gradient

c is the y intercept

<h2>a). </h2>

y = 3x + 7

Comparing this equation with the general form above

Gradient of the line = 3

<h2>b).</h2>

2y - 6x = 8

Divide both sides by 2

We have

y - 3x = 8

To make y the subject move 3x to the right side of the equation

That's

y = 3x + 8

Comparing with the general form above that's y = mx + c

The gradient = 3

<h2>c).</h2>

y = 3x + 7

A(2 , y ) , B( x , 4)

Since they lie on the line we can substitute their values into the equation to find the missing points

<u>For A(2 ,y)</u>

We have

y = 3(2) + 7

y = 6 + 7

<h3>y = 13</h3>

<u>For B( x , 4)</u>

4 = 3x + 7

3x = 4 - 7

3x = - 3

Divide both sides by 3

<h3>x = - 1</h3>

Hope this helps you

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The difference between two numbers is 15. If 8 is added to twice the greater number, the result is 4 less than 3 times the lesse
yuradex [85]

Answer:


Step-by-step explanation:

Let x be the greater number and y be the smaller number. We know that their difference is 15, so we have

x-y=15

Then, we have the following information: if we add twice the greater (2x) and 8 (2x+8), the result is 3 times the lesser (3y) minus four (3y-4). So, we have

2x+8 = 3y-4 \iff 2x-3y = -12

So, we have the follwing system:

\begin{cases} x-y=15\\2x-3y = -12\end{cases}

From the first equation, we can derive x = y+15, and substitute this expression in the second equation to get

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8 0
3 years ago
Alex is building a rectangular fence around his yard. The total perimeter of the fence is 68 feet and the area of the yard is 24
pychu [463]

Perimeter (P) = 2L + 2w


68 = 2L + 2w


68 - 2L = 2w


2(34 - L) = 2(w)


34 - L = w


********************                                


Area (A) = L * w


     240 = L (34 - L)


     240 = 34L - L²


L² - 34L + 240 = 0


(L - 10)(L - 24) = 0


L = 10  or  L = 24


w = 34 - L   = 34 - 10   = 24      or      w = 34 - 24   = 10


Answer: width = 10, length = 24   assuming length is bigger than the width


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4 years ago
Read 2 more answers
Can anyone help with this please
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Answer:the correct answer is b

Step-by-step explanation:

Took the test also download the app called photo math all I have to do is take the photo of the problem it’s free of charge

4 0
3 years ago
Quick help please i can’t
VladimirAG [237]

Dont say you can't! I believe in youu!


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