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3 years ago

Create two groups of cards with the SAME SUM using as many cards as possible using the numbers 8 7 6 2 1 3.

Mathematics

1 answer:

laila [671]3 years ago

7 0

Answer:

Explained below.

Step-by-step explanation:

In this case we need to form two group of cards (consisting of any number of cards) having the same sum using the cards numbered as 8, 7, 6, 2, 1, 3.

The possible groups are as follows:

Group 1 Group 2 Sum

{8, 1} {7, 2} 9

{8, 2} {7, 3} 10

{8, 3} {7, 3, 1} 11

{8, 1, 3} {7, 3, 2} 12

{8, 2, 3} {7, 2, 1, 3} 13

{8, 3, 2, 1} {7, 6, 1} 14

And so on.

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A rectangular hallway rug has a width of 9 feet, and the diagonal measures 41 feet. What is the rug's length?

slega [8]

Answer:

Rug's length is equal to $40$ feet.

Step-by-step explanation:

Width of a rectangular hallway rug $(w)=9$ feet

Diagonal of a rectangular hallway rug $(d)=41$ feet

The relation between width $(w)$ , length $(l)$ and diagonal $(d)$ is given as follows:

$l^2+w^2=d^2$

$l^2+9^2=41^2\\l^2+81=1681\\l^2=1600$

$l=\sqrt{1600}$

$l=40$ feet

So, rug's length is equal to $40$ feet.

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3 years ago

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Nata [24]

Answer:

Step-by-step explanation:

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3 years ago

Find the vertex of the parabola whose equation is y = x2 + 8x + 12.

lara31 [8.8K]

We will transform the equation to the vertex form:
y = x² + 8 x + 12 = x² + 8 x + 16 - 16 + 12 =
= ( x + 4 )² - 4
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Vertex coordinates are: ( - 4, - 4 ).

8 0

3 years ago

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I need some helppp people

dsp73

We can observe that the function describing the graph is linear and so the equation is of linear nature:

$y=mx+n$

Numbers m and n have special names. m is called the slope, n is called y-intercept.

From the graph one can tell that the line intercepts y-axis at y = -1 that means n = -1. What about the slope you say?

The slope can be calculated using two points' coordinates that lie on the line:

$m=\frac{\Delta y}{\Delta x}=\frac{-1-5}{0-5}=\frac{6}{5}$

Now our line has an equation,

$y=\frac{6}{5}x-1$

Hope this helps.

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3 years ago

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Find the slope of the line shown on the graph to the right (-4,-3) and (2,3)

DerKrebs [107]

Answer:

y=x+1

Step-by-step explanation:

to do this we have to use the slope formula, Rise/Run which is (y2-y1)/(x2-x1) so (3-(-3) or 3+3 divided by (2-(-4) or 2+4, so the slope would be 6/6 or 1. so it is up one over one, and since at the x coordinate of 0 it is y=1 we know the formula must be y=x+1

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3 years ago

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Create two groups of cards with the SAME SUM using as many cards as possible using the numbers 8 7 6 2 1 3.​

Create two groups of cards with the SAME SUM using as many cards as possible using the numbers 8 7 6 2 1 3.