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3 years ago

8

Can someone that’s really smart actually help me with this

1 answer:

monitta3 years ago

8 0

It is by a factor of 2.

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What is the slope of the line whose equation is -3x y=12?

stepan [7]

-3x+y=12
y=3x + 12
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3 years ago

Simplify the radical expression 5√7+2√175

yanalaym [24]

$5\sqrt{7} + 2\sqrt{175}=5\sqrt{7}+2\sqrt{25 \cdot 7}=5\sqrt{7}+ 2 \cdot \sqrt{25} \cdot \sqrt{7}= \\ \\ = 5\sqrt{7}+2 \cdot 5 \cdot \sqrt{7}=5\sqrt{7}+10\sqrt{7}=\boxed{15\sqrt{7}} \approx 39.69$

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3 years ago

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2 years ago

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SashulF [63]

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2 years ago

Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago