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Ivan
2 years ago
9

Please help me.i don't get it.

Mathematics
1 answer:
alukav5142 [94]2 years ago
4 0

Answer:

See below.

Step-by-step explanation:

The addition method is a good choice in this case since you have x in one equation and -x in the other equation, and x and -x add to zero, eliminating x.

 x - 5.5y = -14

-x + 2.6y = 8.2

Add the equations. x and -x ad to zero, eliminating x. Then solve for y.

-2.9y = -5.8

Divide both sides by -2.9

y = 2

Substitute 2 for y in the first original equation, and solve for x.

x - 5.5y = -14

x - 5.5(2) = -14

x - 11 = -14

x = -3

Solution: x = -3; y = 2

Since the coefficients of y in the two original equations are not opposites, the addition method would not be the best method to use to solve for y first.

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4. Given directed line segment CD, if point E divides CD three-fourths of the way from C to D, find the coordinates of E, then p
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Answer:

Point E is given by \left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

Step-by-step explanation:

Let points C and D be (x_0,y_0),\,(x_1,y_1) and let point E divides it in ratio m:n.

Then coordinates of point E are given by \left ( \frac{mx_1+nx_0}{m+n},\frac{my_1+ny_0}{m+n} \right )

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Point E is given by \left ( \frac{3mx_1+4x_0}{3+4},\frac{3y_1+4y_0}{3+4} \right )=\left ( \frac{3mx_1+4x_0}{7},\frac{3y_1+4y_0}{7} \right )

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A sample of nitrogen in a glass bulb has a mass of 245 mg. What is this mass in kilograms? (Note: 1,000 mg = 1 g, 1,000 g = 1 kg
notka56 [123]

You can use the specified conversion scale to convert the weight given to kilograms.

The mass of given bulb in kilogram is 0.000245 kilogram.

<h3>How to convert from one unit to another unit?</h3>

If a quantity is given in one unit and its unit of measurement has to be changed to other unit, then you will have to get to know how is first unit related to other. Based on that, you can convert the unit of measurement to desired unit of measurement.

<h3>How to convert 245 mg to kilogram?</h3>

Since 1000 mg = 1 gram, thus,

Dividing by 1000 on both sides, we get:

\dfrac{1000}{1000} \: \rm mg  = \dfrac{1}{1000} \: \rm g\\&#10;\\&#10;1 \: mg = 0.001 \: g\\&#10;\\&#10;\text{Multiplying 245 on both sides}\\\\&#10;245 \times 1 \: mg = 245 \times 0.001 \: g = 0.245 \: g\\&#10;245 \: mg = 0.245 \: g

Now since 1000g = 1 kg, thus,

Dividing by 1000 on both the sides,

\dfrac{1000}{1000} \: \rm g  = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg\dfrac{1000}{1000} \: \rm g  = \dfrac{1}{1000} \: \rm kg\\\\1 \: g = 0.001 \: kg\\\\\text{Multiplying 0.245 on both sides}\\\\0.245 \times 1 \: g = 0.245 \times 0.001 \: kg = 0.000245 \: kg\\0.245 \: g = 0.000245 \: kg

Thus, 245 mg = 0.245g = 0.000245 kg

The mass of given bulb in kilogram is 0.000245 kilogram.

Learn more about unit conversion here:

brainly.com/question/16418622

8 0
2 years ago
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