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3 years ago

HELP ME PLEASE!!!!

Mathematics

1 answer:

QveST [7]3 years ago

4 0

$54=9\cdot6\\24=4\cdot6\\\\3\sqrt{54}-4\sqrt{24}=3\sqrt{9\cdot6}-4\sqrt{4\cdot6}=3\cdot\sqrt9\cdot\sqrt6-4\cdot\sqrt4\cdot\sqrt6\\\\=3\cdot3\cdot\sqrt6-4\cdot2\cdot\sqrt6=9\sqrt6-8\sqrt6=1\sqrt6=\sqrt6\\\\\text{Answer:}\ \sqrt6\\\\\text{Used:}\ \sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}$

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Answer:

x = 5, y = 7, z = 12

Step-by-step explanation:

Let the numbers be x, y and z

x + y + z = 24
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Solving by substitution:

x + y + z = z + z = 24
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x = 12 - 7 = 5

The answer:

x = 5, y = 7, z = 12

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Hi there!

Point-slope form: $y-y_1=m(x-x_1)$ where m is the slope of the line and $(x_1,y_1)$ is a given point

Given that the slope is -3/4, we can plug it into $y-y_1=m(x-x_1)$ as m:

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We can also plug in the given point (1,2):

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To write the equation in slope-intercept form, isolate y:

$y-2=\displaystyle -\frac{3}{4}(x-1)\\\\y=\displaystyle -\frac{3}{4}(x-1)+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{3}{4}+2\\\\y=\displaystyle -\frac{3}{4}x+\frac{11}{4}$