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worty [1.4K]
2 years ago
11

X 2/4/8/10/16 Y 12458 O y= 2 x O y=1 x O y=x-1 Oy= x=2

Mathematics
1 answer:
Leno4ka [110]2 years ago
7 0

Answer:

<em> y = 1/2 x</em>

Step-by-step explanation:

Given the table

X 2//4//8//10//16

Y 1//2//4//5//8

We are to find the equation that represent the table

Using the coordinates of x and y components from the table (2, 1) and (4, 2)

The standard expression for the equation is expressed as y = mx+c

m is the slope

c is the y-intercept

Get the slope;

m = y2-y1/x2-x1

m = 2-1/4-2

m = 1/2

Get the intercept c:

Substitute the point (2, 1) and the slope m = 1/2 into the expression y = mx+c

1 = 1/2(2) + c

1 = 1+c

c = 1-1

c = 0

Get the required equation

Recall that: y = mx+c

y = 1/2 x + 0

<em>y = 1/2 x</em>

<em>Hence the required equation is y = 1/2 x</em>

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Answer:

{6, 8, 10} is a set which represents the side length of a right triangle.

Step-by-step explanation:

In a right triangle:

(Base)^{2}  + (Perpendicular)^{2}   = (Hypotenuse)^{2}

Now, in the given triplets:

(a) {4, 8, 12}

Here, (4)^{2}  + (8)^{2}   = 16 + 64  = 80\\\implies H = \sqrt{80}  =  8.94

So, third side of the triangle   8.94 ≠ 12

Hence,  {4, 8, 12} is NOT a triplet.

(b) {6, 8, 10}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10

Hence,  {6, 8, 10} is  a triplet.

(c) {6, 8, 15}

Here, (6)^{2}  + (8)^{2}   = 36 + 64  = 100\\\implies H = \sqrt{100}  =  10

So, third side of the triangle  10  ≠ 15

Hence,  {6, 8, 15} is  NOT a triplet.

(d) {5, 7, 13}

Here, (5)^{2}  + (7)^{2}   = 25 + 49  = 74\\\implies H = \sqrt{74}  =  8.60

So, third side of the triangle  8.60  ≠ 13

Hence, {5, 7, 13} is  NOT a triplet.

4 0
3 years ago
Whats the height of the rectangular prism
garri49 [273]

Answer:

length l = 32.25 m

width w = 8223.75 m

height h = 12.5 m

diagonal d = 8223.82273 m

total surface area Stot = 736831.875 m2

lateral surface area Slat = 206400 m2

top surface area Stop = 265215.938 m2

bottom surface area Sbot = 265215.938 m2

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Step-by-step explanation:

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There are 50 pairs of whole numbers
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Step-by-step explanation:

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Leslie used 20% of a half-gallon (64 ounces) of milk for a recipe. How many ounces of milk were left?
Lady_Fox [76]

Answer:

51.2 ounces.

Step-by-step explanation:

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