3 years ago

Determine if the following lines are parallel, perpendicular, or neither

Mathematics

1 answer:

Advocard [28]3 years ago

6 0

They are perpendicular to each other.

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Factorize a⁴-6a²-7-8x-x²

ANEK [815]

Answer:a⁴-7-x²-6a²-8x

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1 year ago

if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to

Zigmanuir [339]

From left to right, the line slants upwards like in this image:

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3 years ago

The line with equation a + 4b = 0 coincides with the terminal side of an angle θ in standard position and cos θ>0 . What is t

Nikitich [7]

Answer:

$\frac{-1}{\sqrt{17} }$

Step-by-step explanation

We have given that equation of line a+4b=0

⇒4b= -a

⇒ $b= \frac{-a}{4}$

slope of line = $tan\theta =\frac{P}{B}= \frac{-1}{4}$

⇒ $tan\theta$ is negative therefore it lies into 4th quadrant

By, Pythagoras theorem $H^2=P^2+B^2$

by putting value of P= -1 & B=4

the value of $H=\sqrt{17}$

with the given condition $cos\theta>0$

i.e. $\theta$ ∈ (3π/2, 2π)

now, $sin\theta= \frac{P}{H}= \frac{-1}{\sqrt{17}}$

6 0

2 years ago

What is the midpoint of the segment shown below? (-2, 3) (10, 3)

sergeinik [125]

Answer:

That point P(x,y)

x = (-2+10)/2 = 4

y = (3+3)/2 = 3

=> P (4,3)

5 0

3 years ago

Six more than nine times a Number is 456

Nuetrik [128]

Let the number = x
It would be: 9x + 6 = 456
9x = 456 - 6
9x = 450
x = 450 / 9
x = 50

In short, Your Answer would be 50

Hope this helps!

8 0

3 years ago