All categories

2 years ago

Two parallel lines are _____ coplanar.

Mathematics

2 answers:

dimulka [17.4K]2 years ago

8 0

Answer:

1. always

2. sometimes

Step-by-step explanation:

Two lines are coplanar if they lie in the same plane or in parallel planes. There is ALWAYS a plane which contains two parallel lines (see first attached image for details).

Two lines that lie in parallel planes are sometimes parallel. For example, see at second image. Planes $\alpha$ and $\beta$ are parallel. Consider pair of lines $a$ and $a_1$ - they are parallel, but if you consider the pair of lines $a$ and $b_1$ , you can see they are not parallel.

Lapatulllka [165]2 years ago

4 0

Answer:

always

sometimes

Step-by-step explanation:

By definition parallel lines are lines in a plane which do not meet, that means, they have to be coplanar. Coplanar means they are included in the same plane. Then, two parallel lines are always coplanar (imagine two parallel lines in a 3d space, there is always a plane that can contain them).

Two lines that lie in parallel planes are sometimes parallel. As stated before, if there is a third plane which contains the two lines, they can be parallel or cannot, but if there is no plane which contains them, they are not parallel.

You might be interested in

Mrs. Clark has a glass vase with a base shaped like a hexagon, as shown. The vase is 30 cm tall and the hexagon base has an area

Lisa [10]

Answer: The correct option is fourth, i.e., 1935 cm³.

Explanation:

It is given that the vase is 30 cm tall and the hexagon base has an area of 64.5 cm².

The area of a hexagon base is,

$A=\frac{3\sqrt{3}} {2}a^2$

Where, a is the side length.

The volume of the a hexagon glass is,

$V=\frac{3\sqrt{3}} {2}a^2\times h$

$V=A\times h$

Where, A is area of base of hexagon and h is height of the hexagon glass.

$V=64.5\times 30$

$V=1935$

Therefore the volume of the glass is 1935 cm³ and the glass can hold 1935 cm³ water. So, fourth option is correct.

4 0

2 years ago

Read 2 more answers

Find ( f - g)(x).<br><br> f (x) = -2x2 - 2x - 3 and g(x) = 3x2 - 4x - 4

Kruka [31]

Answer:

$\large\boxed{(f-g)(x)=-5x^2+2x+1}$

Step-by-step explanation:

$(f-g)(x)=f(x)-g(x)\\\\\text{We have}\ f(x)=-2x^2-2x-3\ \text{and}\ g(x)=3x^2-4x-4.\\\\\text{Substitute:}\\\\(f-g)(x)=(-2x^2-2x-3)-(3x^2-4x-4)\\\\(f-g)(x)=-2x^2-2x-3-3x^2+4x+4\qquad\text{combine like terms}\\\\(f-g)(x)=(-2x^2-3x^2)+(-2x+4x)+(-3+4)\\\\(f-g)(x)=-5x^2+2x+1$

3 0

3 years ago

During a recent eruption, the volcano spewed out copious amount of ash. One small piece of ash was ejected from the volcano with

nlexa [21]

For question number 1:The plot H = H(t) is the parabola and it reaches its maximum in the moment when exactly at midpoint between the roots t = 0 and t = 23. At that moment t = 23/2 or 11.5 seconds.
For question number 2:To find the maximal height, just simply substitute t = 11.5 into the quadratic equation. The answer would be 22.9.
For question number 3:H(t) = 0, or, which is the same as -16t^2 + 368t = 0.Factor the left side to get -16*t*(t - 23) = 0.t = 0, relates to the very start of the process, when the ash started its way up.The other root is t = 23 seconds, and it is precisely the time moment when the bit of ash will go back to the ground.

6 0

3 years ago

Diego has two jobs. He works 3 hours at the library each day, making $8 per hour. In addition, he works at a coffee shop, making

Zepler [3.9K]

Answer:

D. l = 3 || 4 < c < y || 8l + 7.5c ≥ 70

Step-by-step explanation:

<h3>Work at library</h3>

Time = 3 hours ⇒ l = 3
Payment = $8 per hour
Total payment = 8l

<h3>Work at coffee shop</h3>

Time = between 4 and 7 hours ⇒ 4 < c < 7
Payment = $7.5 per hour
Total payment = 7.5c

Target income = at least $70 daily

<u>So the system as per above parameters:</u>

l = 3
4 < c < y
8l + 7.5c ≥ 70

Correct option is D

3 0

2 years ago

“Write a linear equation that is perpendicular to 2x-5y=5 and passes through the point (2,-9).

k0ka [10]

Okay so you are correct with the gradient of the perpendicular line it is -5/2 however the equation is not y= -5/2 -1 because it is a new Line and has a new y-intercept therefore its Y=-5/2 + C but you have corrected that when doing the formula and have got the right answer

4 0

2 years ago