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4 years ago

When matter changes state, what two things are always conserved?

1 answer:

5 0

<span>Even though matter changes state, there are two things which are always conserved: they are mass and chemical composition. Just because the state has changed, it does not mean that any new molecules are either created or have been destroyed. The Law of Conservation of mass explains this concept.</span>

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Which equations correctly represent a line that has a slope of -2/3 and passes through the points (–2, 8) and (1, 6)?

OlgaM077 [116]

Answer:

2x + 3y = 20

Step-by-step explanation:

Slope of the line is -2/3 . We can use any of the given points to find the equation of the line. Lets use (1, 6)

The general point-slope form of a line is:

$y-y_{1} =m(x-x_{1} )$

Here m is the slope which is -2/3

x1 and y1 are the coordinates of the point. So x1 = 1 and y1 = 6

Using these values, we get:

$y-6=-\frac{2}{3} (x-1)\\\\ 3(y-6)=-2(x-1)\\\\ 3y-18=-2x+2\\\\ 2x+3y=20$

6 0

3 years ago

Read 2 more answers

jake borrowed $25 from his mother and spent $21 he earned $22 and spent $15 how much money does he have now and does jake have e

blsea [12.9K]

Answer:

no, jake needs $14 more to repay his mother

Step-by-step explanation:

+25 + (-21) + 22 + (-15) = 4 + 7 or 11

or you could add the positive values together and negative together and then add

25 + 22 = 47

-21 + (-15) = -36

47 + (-36) = 11

7 0

3 years ago

McDonald had a farm with a certain number of orange trees. he had to cut down 5 trees to control the insects. Each of the remain

aleksley [76]

(5x210)+41,790= 42,840 initially

Okay so
5 tree cut down
So now he have 41 790 orange so he have less that initially
We have to found how many he had before the 5 tree were cut down
And don't forget that each tree produces 210 oranges
So you look for how many orange he had lost (5x210)
And then addition what you have with 41,790

I hope you understand

4 0

3 years ago

Find side lengths C and H

Nuetrik [128]

Answer:

$\displaystyle c=\frac{2\sqrt{3}}{3}\\\\\displaystyle h=7\sqrt{2}\\$

Step-by-step explanation:

<u>Right Triangles</u>

A right triangle can be identified by the fact it has an internal angle of 90°. In a right triangle, the trigonometric ratios stand.

Let's consider the triangle to the left. We need to calculate side c, one of the legs of the triangle. We can use the angle adjacent to it (60°) or the angle opposite to it (30°) with the appropriate trigonometric ratio.

We'll use the adjacent angle, and

$\displaystyle tan60^o=\frac{2}{c}$

Solving for c

$\displaystyle c=\frac{2}{tan60^o}=\frac{2}{\sqrt{3}}$

Rationalizing

$\displaystyle c=\frac{2}{\sqrt{3}}\cdot \frac{\sqrt{3}}{\sqrt{3}}=\frac{2\sqrt{3}}{3}$

Now for the triangle to the right. The side h is the hypotenuse. Again, any of the two angles can be used (though they are equal, for it's an isosceles triangle). For any of them it is true that

$\displaystyle sin45^o=\frac{7}{h}$