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laila [671]
3 years ago
7

Lance wrote down a lot of plus sevens and minus fours. Altogether he wrote 22 digits. When he came to add them all up the total

was zero. How many plus sevens were there?
Mathematics
1 answer:
AURORKA [14]3 years ago
6 0
So, when solving this: you’ll want to consider multiples of 7 and 4.

7,14,21,28
4,8,12,16,20,24,28

If you write four +7’s and seven -4’s, they cancel out. Given that that is 11 digits, do it twice and you have your answer.

Eight +7’s
Fourteen -4’s
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bbv

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Write an equation in slope intercept form for the line that passes thru the points (4,-2) and (-5,7)
shepuryov [24]

Answer:

y = -x + 2

Step-by-step explanation:

The equation of a line in a slope intercept form is given as :

y = mx + c, where m is the gradient and c, y - intercept.

First, let us find the gradient, m of the line that passes through the points, (4,-2) and (-5,7) using the relation ;

m = \frac{y_2 - y_1}{x_2- x_1}

By substitution we get

m = \frac{7- (- 2)}{ - 5 - 4}

\implies m = \frac{7 + 2}{ - (5 + 4)}

\implies m = \frac{9}{ - 9} =  - 1

We substitute any of the points and the value of m into y= mx + c to find the value for c.

\implies  - 2 = 4( - 1) + c

\implies  - 2 =  - 4+ c

Adding 4 to both sides.

\implies  4- 2=  - 4 + 4+ c

\implies  4- 2= + c

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Hence the equation of the line is :

y = -x +2

3 0
3 years ago
What best decribes the area of polygon
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Area is the space inside a shape
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3 years ago
Elimination method<br> 4x-2y=48<br> 2x+6y=-18
yulyashka [42]
4x-2y=48\\ \\ 2x+6y=-18

First we'll multiply the second equation by -2


-2\cdot (2x+6y)=-2\cdot -18\\ \\ -4x-12y=36

Now let's add the new equation and the first one.

(4x-2y)+(-4x-12y)=48+36\\ \\ 4x-4x-2y-12y=48+36\\ \\ -14y=84\\ \\ y=\frac { 84 }{ -14 } \\ \\ y=-6

We found y's value. We'll plug it in one of the equations to find x's value.

y=-6\\ \\ 4x-2y=48\\ \\ 4x-2\cdot -6=48\\ \\ 4x+12=48\\ \\ 4x=48-12\\ \\ 4x=36\\ \\ x=\frac { 36 }{ 4 } \\ \\ x=9

Solution ;

(9, -6)


4 0
3 years ago
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