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4 years ago

Which property says if m= -2 then 8m = -16

Mathematics

1 answer:

Veseljchak [2.6K]4 years ago

3 0

Answer:

I believe it's Division property

Step-by-step explanation:

Since 8m = -16

You divide both sides by 8. So -16 divided by 8 will equal to -2. m=-2

Hope this helpsʕ•ᴥ•ʔ

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Write the standard form equation of the line through the given points. through (0.-4) and (-3,-2)

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Answer:

The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is $\frac{2}{3}x+y=-4$

Step-by-step explanation:

The standard form of equation is $Ax+By=C$

Finding slope

Using the given points (0,-4) and (-3,-2) we can find slope using formula: $Slope=\frac{y_2-y_1}{x_2-x_1}$

$Slope=\frac{-2-(-4)}{-3-(0)}\\Slope=\frac{-2+4}{-3} \\Slope=-\frac{2}{3}$

Finding y-intercept

Using point (0,4) and Slope=-2/3 we can find y-intercept

$y=mx+b\\-4=-\frac{2}{3}(0)+b\\-4=0+b\\b=-4$

The slope intercept form of the line through the given points. through (0.-4) and (-3,-2) having slope =-2/3 and b=-4 will be:

$y=mx+b\\y=-\frac{2}{3}x-4$

Now, standard form of equation will be: $\frac{2}{3}x+y=-4$

So, The standard form of equation of the line through the given points. through (0.-4) and (-3,-2) is $\frac{2}{3}x+y=-4$

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The diagram shows 5cm×5cm×5cm cube calculate the length of the diagonal ab

mario62 [17]

Answer:

AB = $5\sqrt{3}$ cm

Step-by-step explanation:

As we can see from the figure, BCDE is a square with each corner equal to 90°.

So that, BDE is a right triangle with corner BED equal to 90°

As BDE is a right triangle, according to Pythagoras theorem, we have:

$BD^{2} = BE^{2} +ED^{2} = 5^{2} + 5^{2} = 25 + 25 = 50$ cm

As the diagram s the cube, so that it can be seen that AD is perpendicular to the surface BCDE

=> AD is perpendicular to BD

=> ADB is the right triangle with corner ADB equal to 90°.

As ADB is the right triangle, ccording to Pythagoras theorem, we have:

$AB^{2} =AD^{2} + BD^{2} = 5^{2} +50 = 25 +50 = 75$ cm

=> $AB = \sqrt{75} = 5\sqrt{3}$ cm

Conclusion: AB = $5\sqrt{3}$ cm

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