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3 years ago

Is each line parallel, perpendicular, or neither parallel nor perpendicular to the line −2x+3y=12?

Mathematics

1 answer:

crimeas [40]3 years ago

3 0

Answer:

I like to compare them all the same. Put all the equations in slope intercept form y=mx+b

So you need to isolate y.

Step-by-step explanation:

Main equation to compare y=2/3x + 4

If they have the same slope they are parallel. If they have opposite reciprocal slopes then they are perpendicular.

First one is y=2x +12 neither

Second one is y= -3/2x -1 perpendicular

Third one is y= 2/3x - 1 parallel

Forth one is y= 2/3x + 11/3 parallel

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The sum of two consecutive integrates is no more than 209. What is the larger of the two integers?

UNO [17]

Answer:

105 is the larger of the two integers

Step-by-step explanation:

104+105=209

104 and 105 are consecutive and their sum is no more than 209

8 0

3 years ago

The hockey team won 8 out of their first 14 games. At the same rate, how many games should they except to win out of 84

babunello [35]

The answer is 48.

8/14=x/84

Cross mutiply, to get:

14x=672

Divide each side by 14

You get 48.

Hope this help!!! :)

3 0

3 years ago

Consider the expression 2√3 cos(x)csc(x)+4cos(x)-3csc(x)-2 √ 3 This expression can be represented as the product of the factors.

Alla [95]

Answer with explanation:

The given expression is:

$2 \sqrt{3}\cos x * \csc x+4 \cos x-3 \csc x-2\sqrt{3}\\\\=2 \cos x*(\sqrt{3}*\csc x+2)-\sqrt{3}*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)\\\\\rightarrow (2\cos x -\sqrt{3})*(\sqrt{3}*\csc x+2)=0\\\\(2\cos x -\sqrt{3})=0 \wedge (\sqrt{3}*\csc x+2)=0$

$\cos x=\frac{\sqrt{3}}{2} \wedge \csc x=\frac{-2}{\sqrt{3}}\\\\x=\frac{\pi}{6},2\pi-\frac{\pi}{6}\\\\x=\frac{\pi}{6},\frac{11\pi}{6} \wedge x=\pi+\frac{\pi}{3} ,2\pi-\frac{\pi}{3}\\\\x=\frac{4\pi}{3},\frac{5\pi}{3}\\\\x={\frac{\pi}{6},\frac{11\pi}{6},\frac{4\pi}{3},\frac{5\pi}{3}}$

Option C

8 0

3 years ago

An airplane climbs at an angle of 13 with the ground . What is the distance it has traveled when it has attained an altitude of

nevsk [136]

The distance traveled is the hypotenuse of the right triangle formed with the ground.

sinα=400/d

d=400/sinα, we are told α=13° so

d=400/sin13 ft

d≈1778ft (to nearest whole foot)

6 0

3 years ago

Please help im stuck

kolbaska11 [484]

It looks like the first 3 are because they all are blank x2.5 but the last one would be 8x2.5=20..

6 0

2 years ago