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3 years ago

BRAINLIESTTT ASAP! PLEASE HELP ME :)

Mathematics

2 answers:

pav-90 [236]3 years ago

5 0

Answer:

Step-by-step explanation:

(10x + 15y)² = (8x + 12y)² + (6x + 9y)²

{(a + b)² = a²+2ab + b² }

(10x)² + 2*10x*15y + (15y)² = (8x)² + 2*8x*12y + (12y)² + (6x)² + 2*6x*9y +(9y)²

100x² +300xy + 225y² = 64x² + 192xy + 144y² + 36x² + 108xy + 81y²

100x² +300xy + 225y² = 100x² + 300xy + 225

MissTica3 years ago

4 0

Answer:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

a. $\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2$

Step-by-step explanation:

b. $\displaystyle 225y^2 + 150xy + 100x^2 = 225y^2 + 150xy + 100x^2$

a. $\displaystyle [8x + 12y]^2 + [6x + 9y]^2 = [10x + 15y]^2$

The two expressions are identical on each side of the equivalence symbol, therefore they are an identity.

I am joyous to assist you anytime.

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2x-4y =8with domain -2

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7 0

3 years ago

3. Two cars are parked, 150m apart, and on opposite sides of a building. A camera on the top of the building rotates and can vie

allsm [11]

Answer:

The building is 61.5 m tall

Step-by-step explanation:

The image below is a diagram where all the given distances and angles are shown. We have additionally added some variables:

h = height of the building

a, b = internal angles of each triangle

x = base of each triangle

The angles a and b can be easily found by subtracting the given angles from 90° since they are complementary angles, thus:

a = 90° - 37° = 53°

b = 90° - 42° = 48°

Now we apply the tangent ratio on both triangles separately:

$\displaystyle \tan a=\frac{\text{opposite leg}}{\text{adjacent leg}}$

$\displaystyle \tan 53^\circ=\frac{150-x}{h}$

$\displaystyle \tan 48^\circ=\frac{x}{h}$

From the last equation:

$x=h.\tan 48^\circ$

Substituting into the first equation:

$\displaystyle \tan 53^\circ=\frac{150-h.\tan 48^\circ}{h}$

Operating on the right side:

$\displaystyle \tan 53^\circ=\frac{150}{h}-\tan 48^\circ$

Rearranging:

$\displaystyle \tan 53^\circ+\tan 48^\circ=\frac{150}{h}$

Solving for h:

$\displaystyle h=\frac{150}{\tan 53^\circ+\tan 48^\circ}$

Calculating:

h = 61.5 m

The building is 61.5 m tall

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3 years ago

ANSWER FAST!! All of the following angle pairs are ALWAYS congruent when a transversal passes through 2 parallel lines EXCEPT:

Murrr4er [49]

Answer:

Adjacent angles

Step-by-step explanation:

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vladimir1956 [14]

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3 years ago

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