The definition of parallel lines requires the undefined terms line and plane, while the definition of perpendicular lines requires the undefined terms of line and point. What characteristics of these geometric figures create the different requirements?

Step-by-step explanation:

[tex]15)2n \\ 16)1 \times {10}^{7} \\ 17) {m}^{5} \\ 18)xy \\ 19)5 {n}^{2} - 6 \\ = - 6 \\ 20)9 {a}^{ 3} + 1 \\ = \frac{d}{da} (9a {}^{ 3} + 1) \\ 21) {x}^{3} . {y}^{3} \\ = (x.y) {}^{3} \\ = {x}^{3} {y}^{3} \\ 22)c {}^{4} .d {}^{6} \\ = {c}^{4} {d}^{6} \\ 23)3e + {e}^{2} \\ = e(e + 3) \\ \\ \\ hope \: it \: is \: help \: to \: you[/tex]

15 2 times n

16 10 race to the power 7

17 m race to the power 5

18 x times y

19 6 subtracted from 5 times n race to the power 2

20 1 added to 9 times a race to the power 3

21 x race to the power 3 times y race to the power 2

22 c race to the power 4 times d race to the power 6

23 3 times e added to 2 times e race to the power 2

Must click thanks and mark brainliest

Answer:

216

Step-by-step explanation:

Volume of prism = BH

B -> Base area

Area of base:

b = 10 mi

h = 3.6mi

Area of the triangular base = [tex]\dfrac{1}{2}*b*h[/tex]

                        [tex]=\dfrac{1}{2}*10*3.6\\\\= 18 \ mi^{2}[/tex]

H = 12 mi

Volume of prism = 18 * 12 = 216  cubic mi

Answer:

...

Step-by-step explanation:

[tex] \frac{dy}{dx} = \frac{1}{ {(6 - 3x)}^{4} } \times {4(6 - 3x)}^{3} ( - 3) \\ = \frac{ - 12 {(6 - 3x)}^{3} }{ {(6 - 3x)}^{4} } \\ = - \frac{12}{6 - 3x} [/tex]

I hope I'm correct. I've never learnt differentiation for log and exponents before

Answer:

The median of the data set that you've provided, is 13,350.

Explanation:

13350 is the middle number from the set after writing the set in ascending order. you have 5 numbers on the left of 13350 and 5 on the right, 13350 is the middle one thus it's the median.

After Arranging it in Ascending order

The total number of items is 11

The middle one is 13,350

Therefore the range is 13,350

Must click thanks and mark brainliest

Answer:

Ok so 5 and tens least common denominator is 10. So 6/10- 2/10 (1/5×2=2/10)= 4/10. so now take 4/10 and 1/4 and find the lcm Which is 20 so 4/10×2 is 8/20+10/20=

18/20

[tex]\\ \sf\longmapsto \dfrac{6}{10}-\dfrac{1}{5}+\dfrac{1}{4}[/tex]

[tex]\\ \sf\longmapsto \dfrac{2-4+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{-2+5}{20}[/tex]

[tex]\\ \sf\longmapsto \dfrac{3}{20}[/tex]

Answer:

scale facor is 1/3

Step-by-step explanation:

Answer:

5 minutes

Step-by-step explanation:

5 * $0.99 = $4.95

72

7(5 + 3) + 2ˆ4

P ()

E ^

M *

D /

A +

S -

7(8) + 16

= 72

Hey there!

7(5 + 3) + 2^4

5 + 3 = 8

= 7(8) + 2^4

2^4

= 2 * 2 * 2 * 2

= 4 * 4

= 16

= 7(8) + 16

7(8) = 56

= 56 + 16

= 72

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Answer:

The net change is -.30

Step-by-step explanation:

increase means add

decrease means subtract

+3.50

-3.70

+3.30

-3.40

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

-.30

The net change is -.30

Answer:

11

Step-by-step explanation:

3 (x + 5) = 5x - 7

3x + 15 = 5x - 7

3x - 5x = -7 -15

-2x = - 22

x = 11

Answer:

Y = 8 + 2d

Step-by-step explanation:

Y = 8 + 2d where d is miles traveled

Answer:

y = 2d + 8

Brainliest, please!

Step-by-step explanation:

y = mx + b

m = slope, b = y-intercept

The flat rate of $8 is the y-intercept, and the slope is $2.

y = 2x + 8

We can change x to d to match the context of this problem.

y = 2d + 8

Answer:

[tex]3b(a^{3} - 18)[/tex]

Step-by-step explanation:

[tex]3a^{2}b-54b[/tex]  => [tex]3b(a^{3} - 18)[/tex]

Answer:

Step-by-step explanation:

[tex]\Large \boldsymbol{} 3a^3\underline b-54\underline b=b(3a^3-54)=\boxed{3b(a^3-18)}[/tex]

26a)729

b)2,457.6

c)3,500

d)8,100

e) 89,600

Step-by-step explanation:

just multiply first and divide with upper number to the lower

Answer:

yes but something like that

Answer:

5

Step-by-step explanation:

We know that

[tex]x + y = 3[/tex]

and

[tex]xy = 2[/tex]

Solve for x in first variable

[tex]x = 3 - y[/tex]

Substitute this into second equation

[tex](3 - y)y = 2[/tex]

[tex] - {y}^{2} + 3y - 2[/tex]

Simplify

[tex] {y}^{2} - 3y + 2[/tex]

[tex](y - 1)(y - 2)[/tex]

[tex]y = 1[/tex]

[tex]y = 2[/tex]

So x or y can be

[tex]x = 1 \: \: y = 2[/tex]

or

[tex]x = 2 \: \: \: y = 1[/tex]

So we need to find x^2 and y^2.

[tex] {2}^{2} + {1}^{2} = 5[/tex]

Answer:

1287.48 km

Step-by-step explanation:

80 miles = 128.748 km

Putting in 'x' for distance

x = 80*10  

x = 800 miles

or

x = 1287.48 km

Answer:

12 hours

Step-by-step explanation:

For Ravi,

12 hours = 1 job

Given this, we can figure out how much Ravi does in 6 hours, and from that, we can figure out how much Raman can do in 6 hours. Finally, we can use that to figure out how many hours it would take for Raman to do the job.

12 hours = 1 job

First, to find how much Ravi does in 6 hours, we need to make the equation

6 hours = something

To do this, we know that 12/2 = 6, so we can divide both sides by 2 in the original equation to get

6 hours = 1/2 job.

Therefore, in 6 hours, Ravi does 1/2 of the job. As Raman and Ravi do the job in 6 hours, Raman must do the remaining work, or 1-1/2 = 1/2 of the job in 6 hours.

Therefore, for Raman,

6 hours = 1/2 job

We need to make the equation so that

1 job = something, as that something would be how many hours it would take for Raman to do the job. We know that 1/2 * 2 = 1, so we can multiply both sides by 2 to get

12 hours = 1 job for Raman.

Answer:

Set 1 is not a function

Step-by-step explanation:

You can have the same y value multiple times in a function, but you cannot have repeating x values. In set 1, there are two x values that are the same (3,2) and (3,1), so it is not a function.

Answer:

6 feet to 10 inches

6 ft : 10 inches

There are 12 inches in a foot, so we have:

72 inches : 10 inches

36 inches : 5 inches

36:5

So the ratio is 36/5

Let me know if this helps!

Step-by-step explanation:

am not seeing it is not clear capture another video

Answer:   (x, y) = (6, 1)

This means x = 6 and y = 1

==========================================================

Explanation:

I'll use the substitution method to solve this system.

Let's solve the second equation for x

x-2y = 4

x = 4+2y

Then plug that into the first equation so we can solve for y.

3x - 2y = 16

3(4+2y) - 2y = 16 ... x replaced with 4+2y

12+6y - 2y = 16

12 + 4y = 16

4y = 16-12

4y = 4

y = 4/4

y = 1

Lastly, use this y value to find x

x = 4 + 2y

x = 4 + 2(1)

x = 6

The solution as an ordered pair is (x, y) = (6, 1)

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

Checking the answer:

Plug those x,y coordinates into the first equation

3x - 2y = 16

3(6) - 2(1) = 16

18 - 2 = 16

16 = 16

That confirms the first equation. Repeat for the second equation

x - 2y = 4

6 - 2(1) = 4

6 - 2 = 4

4 = 4

Both equations are confirmed.

Answer:

point B

Step-by-step explanation:

The y- intercept is the point where the graph crosses the y axis

Function

It is a function

Answer:

[tex]{ \sf{ \sqrt{r} = \sqrt{(x {}^{2} + {y}^{2} ) } }}[/tex]

Step-by-step explanation:

General equation:

[tex]{ \bf{ {x}^{2} + {y}^{2} + 2ax + 2by + c = 0}} \\ [/tex]

but a and b are 0:

[tex]{ \bf{ {x}^{2} + {y}^{2} = {r}^{2} }} \\ { \bf{ \sqrt{ {x}^{2} + {y}^{2} } = \sqrt{r} }}[/tex]