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3 years ago

Solve the equation 5(x+4)+52= -4x

Mathematics

1 answer:

Maru [420]3 years ago

8 0

Answer:

x = -8

Step-by-step explanation:

Given: 5(x+4)+52=-4x

Distributive Property: 5x+20+52=-4x

Combine like terms: 5x+72=-4x

Subtract 5x on both sides: 72=-9x

Divide both sides by -9: -8=x

Flip the equation around: x=-8

Therefore, x=-8

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Nesterboy [21]

Answer:

It's the left graph, y = f(x)

Step-by-step explanation:

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Tresset [83]

Answer:

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Step-by-step explanation:

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3 years ago

Does 10cm, 30cm, and 15cm form a triangle????

Helen [10]

Answer:

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Step-by-step explanation:

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3 years ago

Find the value of sin(a/2) if cosa= 12/13<br>

daser333 [38]

Answer: sin $\frac{a}{2}$ = ± $\frac{1}{\sqrt{26} }$

Step-by-step explanation:

We very well know that,

cos2A=1−2sin²A

⟹ sinA = ± $\sqrt{(1-} \frac{cos2A}{2} )$

As required, set A = $\frac{a}{2}$ & cos a= $\frac{12}{13}$ ,thus we get

sin $\frac{a}{2}$ =± $\sqrt{\frac{1-cos a}{2} }$

∴ sin $\frac{a}{2}$ =± $\sqrt{\frac{1-\frac{12}{13} }{2} }$ = ± $\frac{1}{\sqrt{26} }$

since ,360° < $\frac{a}{2}$ <450°

,180° < $\frac{a}{2}$ <225°

Now, we are to select the value with the correct sign. It's is obvious from the above constraints that the angle a/2 lies in the III-quadrant where 'sine' has negative value, thus the required value is negative.

hope it helped!

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3 years ago