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3 years ago

Write three ordered pairs for direct variation relationship where y= 12 when x= 16

Mathematics

1 answer:

Kruka [31]3 years ago

3 0

Ordered pairs that work for this direct variation are (4, 3), (8, 6) and (12, 9).

In order to find these, we must first find the value of the direct variation coefficient. We can do that using the base equation y = kx and then by plugging in to find k.

y = kx

12 = k(16)

3/4 = k

Now that we have k, we can model the equation as y = 3/4x. We can also find any number of ordered pairs by using the x value and finding the y value. All of the above answers work.

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Im so confused pls help!

Digiron [165]

$-\frac{1}{2} *(-\frac{5}{6} )+(-\frac{1}{2} )*\frac{1}{3} \\=\frac{5}{12} -\frac{1}{6} \\=\frac{5}{12} -\frac{2}{12} \\=\frac{3}{12} \\\frac{1}{4}$

7 0

3 years ago

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Gabe can wrap 1 2/3 presents in 1/3 hour. how many presents can gabe wrap per hour?

kirill [66]

Answer:

100/3

Step-by-step explanation:

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3 years ago

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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below:

$cos(105^{\operatorname{\circ}})=-\frac{\sqrt{2-\sqrt{3}}}{2}$

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1 year ago

The order of operations is used to blank numerical expressions

Anna11 [10]

The order of operations is used to order numerical expressions

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1 year ago

80 marked up by 37.5 percent

Mariana [72]

Make 37.5% into decimal form : Since it is being marked up, add 100% = 1.375
1.375 x 80
1.375
x 80
_________
0000
+11000
_________
110.000

80 marked up by 37.5% is 110.

7 0

3 years ago