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2 years ago

What is the solution to 31–3x + 9 = -18?

Mathematics

1 answer:

Naya [18.7K]2 years ago

4 0

For this question,The answer is, x=-9

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Cos^2x+cos^2(120°+x)+cos^2(120°-x)<br>i need this asap. pls help me

o-na [289]

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Using the addition formulae for cosine

cos(x ± y) = cosxcosy ∓ sinxsiny

---------------------------------------------------------------

cos(120 + x) = cos120cosx - sin120sinx

= - cos60cosx - sin60sinx

= - $\frac{1}{2}$ cosx - $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos² (120 + x)

= $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------

cos(120 - x) = cos120cosx + sin120sinx

= -cos60cosx + sin60sinx

= - $\frac{1}{2}$ cosx + $\frac{\sqrt{3} }{2}$ sinx

squaring to obtain cos²(120 - x)

= $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

--------------------------------------------------------------------------

Putting it all together

cos²x + $\frac{1}{4}$ cos²x + $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x + $\frac{1}{4}$ cos²x - $\frac{\sqrt{3} }{2}$ sinxcosx + $\frac{3}{4}$ sin²x

= cos²x + $\frac{1}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ cos²x + $\frac{3}{2}$ sin²x

= $\frac{3}{2}$ (cos²x + sin²x) = $\frac{3}{2}$

5 0

3 years ago

Help???????????????????????????????????????????????????

julsineya [31]

Answer:

First option is the correct choice.

Step-by-step explanation:

y - Q = 3(x - P)

3P - Q = 3x - y

Best Regards!

5 0

3 years ago

Suppose a parabola has an axis of symmetry at x = -2, a minimum height at -6, and passes through the point (0, 10). Write the eq

lesantik [10]

What answer choices that you have

3 0

3 years ago

A serving of hot chocolate requires ¾ cup of milk. How many servings can Nina make with 7 ½ cups of milk? *

patriot [66]

Answer:

8 cups of hot chocolate

Step-by-step explanation:

6 0

3 years ago

Conan installs windows for a living and has propped his ladder against a customer's

Luden [163]

Answer:

Step-by-step explanation:

By the Pythagorean Theorem

h^2=x^2+y^2

Which means that the hypotenuse (longest side of a right triangle) squared is equal to the sum of its squared sides. In this case we are given the side lengths of 8 and 15 feet.

h^2=8^2+15^2

h^2=64+225

h^2=289

h=17 ft

The ladder is 17 feet long.

3 0

2 years ago