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Nimfa-mama [501]

2 years ago

10

Given rectangular prism ABCD. Choose all of the terms that best describe each of the sets of lines or points. Points D, G and J

collinear intersecting parallel noncollinear noncoplanar

2 answers:

navik [9.2K]2 years ago

8 0

Answer:

Step-by-step explanation:

The given parallelogram is attached.

First, we have to define some terms:

Collinear means that they are on the same line, non-collinear is the opposite.
Intersecting means that the point are touching each other, this apply to segments.
Parallel means that they will never intersect, because they have the same slope or inclination, this apply to lines also.
Coplanar means that points are in the same plane, non-coplanar is the opposite.

So, if we observe points D, G and J, from given options, they are non-collinear and non-coplanar, because they are not on the same line, nor plane.

Yuki888 [10]2 years ago

3 0

Answer:

Two points are collinear when they lie on the same line. Points are collinear but not lines. Rather when two lines lie on the same plane we say they are coplanar.

Hence, line AB and CD are NOT collinear, so they are noncollinear and they are coplanar.

Two or more lines are said to be intersecting, when the lines meet at some point, when lines are not intersecting they are said to be parallel.

Recall that one of the properties of a rectangle is that opposite sides are parallel.

Notice that line AB and CB are the opposite sides of the rectangle ABCD.

Thus, line AB and CD are not intersecting but are parallel.

Therefore, the terms that best describe lines AB and CD are

parallel

noncollinear

coplanar

Step-by-step explanation:

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The graph of a hyperbola is shown.

Veseljchak [2.6K]

Answer:the length of the transverse axis is 18 units. Option C is the correct answer

Step-by-step explanation:

The transverse axis is the line segment which passes through the center of the hyperbola and its endpoints are the vertices of the hyperbola. Looking at the diagram of the hyperbola given, it has two foci at - 15 and 15 on the x axis. It has two vertices at - 9 and 9 on the x axis. Therefore the length of the transverse axis is -9 to 9. It becomes

9 - - 9 = 18

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2 years ago

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A software store has put some of its inventory on sale. Games are marked down by 15%, and security programs are marked down by 1

Katyanochek1 [597]

Answer:

Option D. $\$11.34$

Step-by-step explanation:

Let

x -----> the original price of one game

y ----> the original price of one security programs

Remember that

$100\%-15\%=85\%=85\100=0.85$

$100\%-18\%=82\%=82\100=0.82$

The total pay with discount is

$\$35.70+\$22.96=\$58.66$

we have that

$0.85(2x)=35.70\\1.70x=35.70\\x=\$21$

$0.82y=22.96\\y=\$28$

Find the total pay without discount

$2x+y=2(21)+28=\$70$

The amount saved is the difference

$\$70-\$58.66=\$11.34$

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2 years ago

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A local library claims it has 2.73x103 books. If there are 42 people in the building, how many books per capita are there?

sveticcg [70]

Answer:

$Per\ Capita = 64$

Step-by-step explanation:

Given

$Books = 2.7 * 10^3$

$People = 42$

Required

Determine the per capita

The per capita is calculated by dividing number of books by people as follows;

$Per\ Capita = \frac{Books}{People}$

Substitute 2.7 * 10^3 for books and 42 for people

$Per\ Capita = \frac{2.7 * 10^3}{42}$

$Per\ Capita = 64$ (Approximated)

<em>Hence, the per capita is 64</em>

5 0

2 years ago

What is the distance between the following points?

timama [110]

Answer:

D. d = $\sqrt{58}$

Step-by-step explanation:

Use the distance formula: d = $\sqrt{(x2 - x1)^{2}+ (y2 - y1)^{2} }$

The two points are (6, -2) and (3, -9)

Plug the values into the formula:

d = $\sqrt{(3 - 6)^{2}+ (-9 + 2)^{2} }$

Simplify

d = $\sqrt{(-3)^{2}+ (-7)^{2} }$

d = $\sqrt{9+ 49 }$

d = $\sqrt{58}$

I hope this helps :))

5 0

2 years ago

HELP PLEASE. A pizza shop charges customers based on the area of the pizza they order. The cost of a pizza in dollars can be rep

san4es73 [151]

For this case we have that the cost of each pizza is given by the following function:

$S (r) = 0.1 \pi * r ^ 2$

Where:

r: It's the radius of the pizza

IF a pizza cost $26.32 we have:

$26.32 = 0.1 \pi * r ^ 2$

We cleared the radius, using $\pi = 3.14$ :

$\frac {26.32} {0.1} = \pi * r ^ 2\\263.2 = 3.14r ^ 2\\\frac {263.2} {3.14} = r ^ 2\\83.82 = r ^ 2\\r = \pm \sqrt {83.82}$

We choose the positive value:

$r = 9.15$

So, the radius of the pizza is $9.16 \ in$

Then, the diameter is: $2r = 2 * 9.15 = 18.30 \ in$

Finally, the diameter of the pizza is: $18.30 \ in$

Answer:

Option B

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2 years ago

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