What is 2√20 - 4√45 + 7√12 in simplest radical form? Show your work!

Mathematics

1 answer:

posledela3 years ago

8 0

Answer:

$14\sqrt{3}-8\sqrt{5}$

Step-by-step explanation:

we have

$2\sqrt{20}-4\sqrt{45}+7\sqrt{12}$

we know that

$2\sqrt{20}=2\sqrt{2^{2}5} =2(2)\sqrt{5}=4\sqrt{5}$

$4\sqrt{45}=4\sqrt{3^{2}5} =4(3)\sqrt{5}=12\sqrt{5}$

$7\sqrt{12}=7\sqrt{2^{2}3} =7(2)\sqrt{3}=14\sqrt{3}$

substitute the values in the expression above

$4\sqrt{5}-12\sqrt{5}+14\sqrt{3}$

Combine like terms

$14\sqrt{3}-8\sqrt{5}$

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3. Try It #3 Write the point-slope form of an equation of a line with a slope of -2 that passes through the point (-2,2). Then r

vova2212 [387]

Answer:

Point-slope form of equation given as $y-2=-2(x+2)$ .

Slope-intercept form of equation is given as $y=-2 x-2$ .

Step-by-step explanation:

In the question, it is given that the slope of a line is -2 and it passes from (-2,2).

It is asked to write the point-slope form of the equation and rewrite it as slope-intercept form.

To do so, first find the values which are given in the question and put it in the formula of point-slope form. Simplify the equation to rewrite as slope-intercept form.

Step 1 of 2

Passing point of the line is (-2,2).

Hence, $x_{1}=-2$ and