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3 years ago

Tell me whether the lines are parallel, perpendicular, or neither. If the lines intersect, name the point of intersection.

Mathematics

1 answer:

nata0808 [166]3 years ago

6 0

Answer:

(Neither they aren't parallel because they intersect and they aren't perpendicular because while they intersect they don't make a 90 degree angle and the point of intersection is (1.5,0) and (0,2) since it intersects at 2 places.) -Raymond :3

Step-by-step explanation:

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PLEASE HELP THE QUESTION IS BELOW!!

ludmilkaskok [199]

Answer:

$\boxed{35\°}$

Step-by-step explanation:

Angle 1 is 55 degrees.

The whole angle of the upward left corner is 90 degrees.

$90-55=35$

Corresponding angles are equal. The 35 degrees angle and angle 2 are corresponding angles.

Angle 2 is 35 degrees.

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3 years ago

Sin tita= 0.6892.find the value Of tita correct to two decimal places<br><br>

Anvisha [2.4K]

Answer:

$\theta \approx 6.28n + 2.38, \quad n \in \mathbb{Z}$

$\theta \approx 6.28n + 0.76, \quad n \in \mathbb{Z}$

Considering $\theta \in (0, 2\pi]$

$\theta \approx 2.38$

$\theta \approx 0.76$

Step-by-step explanation:

$\sin(\theta)=0.6892$

We have:

$\sin (x)=a \Longrightarrow x=\arcsin (a)+2\pi n \text{ or } x=\pi -\arcsin (a)+2\pi n \text{ as } n\in \mathbb{Z}$

Therefore,

$\theta= \arcsin (0.6892)+2\pi n, \quad n \in \mathbb{Z}$

$\theta = \pi -\arcsin (0.6892)+2\pi n, \quad n\in \mathbb{Z}$

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

$\theta \approx 6.28n + 2.38, \quad n \in \mathbb{Z}$

$\theta \approx 6.28n + 0.76, \quad n \in \mathbb{Z}$

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3 years ago

Which inequality represents all values of x for which the product below is defined?

Vedmedyk [2.9K]

Step 1 ) Separate the 4 and x.

$\displaystyle\sqrt{4x} * \sqrt{x+2}$

↓

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

Step 2 ) Simplify the square root of 4.

$\displaystyle\sqrt{4} \sqrt{x} \sqrt{x+2}$

↓

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Step 3 ) Simplify.

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

↓

$\displaystyle\ 2 \sqrt{x(x+2)}$

This is now in its simplest form, so the final answer is...

$\displaystyle\ 2 \sqrt{x(x+2)}$

or it could be...

$\displaystyle\ 2 \sqrt{x} \sqrt{x+2}$

Either one is correct. Only difference is one is in simplest form and one isn't.

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