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2 years ago

Simplify 4(x^2-3y^2) - 2(3x^2-5y^2) Show your work.

Mathematics

2 answers:

shtirl [24]2 years ago

8 0

Answer:

$-2x^{2} -2y^{2}$

Step-by-step explanation:

First you must distribute.

$4x^2 +(-12y^2)+(-6x^2)+10y^2$

Then you add like terms.

$-2x^2-2y^2$

MariettaO [177]2 years ago

7 0

4x^2-12y^2-6x^2+10y^2
-2x^2-2y^2
i just want points so don't trust me on this

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When the sun's angle of elevation is 76°, a tree casts an 18-foot shadow on the ground. Find the length of the tree to the neare

Yanka [14]

Answer:

Step-by-step explanation:

See the attached figure which represents the explanation of the problem.

We need to find the length of the tree to which is the length of AD

From the graph ∠BAC = 90° and ∠ABD = 76°, AB = 18 ft

At ΔABD:

∠BAD = ∠BAC - ∠DAC = 90° - 4° = 86°

∠ADB = 180° - ( ∠BAD + ∠ABD) = 180 - (86+76) = 180 - 162 = 18°

Apply the sine rule at ΔABD

∴ $\frac{AB}{SinD} =\frac{AD}{sinB}$

∴ 18/sin 18 = AD/sin 76

∴ AD = 18 * (sin 76)/(sin 18) ≈ 56.5 (to the nearest tenth of a foot)

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<u>The answer is 56.5 ft</u>

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