Determine if the lines are parallel, perpendicular or neither. Show all work.

x - 5y = 30 and 10y = 2x + 90

Answer:

300 units

Step-by-step explanation:

Answer:

[tex]1. x + 3 \\ 2.125 {x}^{3} \\ 3.2\pi(x + 7) \\ 4.12x + 11 \\ 5.4{a}^{2} - 16 \\ 6.4 {x}^{2} + 32x - 12[/tex]

Answer:

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Step-by-step explanation:

C = (0, 7)

Since, point A lies in y-axis, so it's x coordinate will be zero. Line y = 2x + 1 passes through point A.

Therefore, plug x = 0 in y = 2x +1, we find:

y = 2*0 + 1 = 0 + 1 = 1

Hence, coordinates of point A are (0, 1).

Now, by distance formula:

[tex] AC= \sqrt{(0-0)^2 +(7-1)^2} [/tex]

[tex] AC= \sqrt{(0)^2 +(6)^2 }[/tex]

[tex] AC= \sqrt{0 +36 }[/tex]

[tex] AC= \sqrt{36 }[/tex]

[tex] AC= 6\: units[/tex]

Length of perpendicular CB dropped from point C (0, 7) to line y = 2x + 1 or 2x - y + 1 = 0 can be obtained as given below:

[tex] CB =\frac{|2\times 0+(-1)\times 7+1|}{\sqrt {2^2 +(-1)^2} } [/tex]

[tex] CB =\frac{|0-7+1|}{\sqrt {4 +1} } [/tex]

[tex] CB =\frac{|-6|}{\sqrt {5} } [/tex]

[tex] CB =\frac{6}{2.24} [/tex]

[tex] CB =2.68\: units [/tex]

By Pythagoras Theorem:

[tex] AB=\sqrt{AC^2 - CB^2} [/tex]

[tex] AB=\sqrt{6^2 - (2.68)^2} [/tex]

[tex] AB=\sqrt{36 - 7.18} [/tex]

[tex] AB=\sqrt{28.82} [/tex]

[tex] AB=5.36842621\: units [/tex]

[tex] AB\approx 5.37\: units [/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times AB\times CB[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 5.37\times 2.68[/tex]

[tex] A(\triangle ABC) = \frac{1}{2} \times 14.3916[/tex]

[tex] A(\triangle ABC) = 7.1958[/tex]

[tex] A(\triangle ABC) = 7.2\: units^2 [/tex]

Hope it be correct.

Answer:

1. 0 = -14

2. x = 0

3. 0 = 0

Step-by-step explanation:

I hope this helps have a great day

Answer:

The answer is

[tex]a = 9 \sqrt{3} \: and \: b = 9[/tex]

Answer:

B

Step-by-step explanation:

Using the sine/ cosine ratios in the right triangle and the exact values

sin60° = [tex]\frac{\sqrt{3} }{2}[/tex] , cos60° = [tex]\frac{1}{2}[/tex]

sin60° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{a}{18}[/tex] ( multiply both sides by 18 )

18 × sin60° = a , then

a = 18 × [tex]\frac{\sqrt{3} }{2}[/tex] = 9[tex]\sqrt{3}[/tex]

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

cos60° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{b}{18}[/tex] ( multiply both sides by 18 )

18 × cos60° = b , then

b = 18 × [tex]\frac{1}{2}[/tex] = 9

Answer:

slope = 1/2

Step-by-step explanation:

the line is rising 1 box for every 2 boxes it goes over

Answer: Y=1/2x+3 (1/2 should be your slope)

Step-by-step explanation:

Answer:

Because of the options you have, I believe it is GJ

Step-by-step explanation:

Hope that helps!

Answer: $123,105

Explanation:

Sales                                                                               $830,000

Less: Sales Discounts                             $12,450

         Sales returns                                  $18,675         ($31,125)

Net Sales                                                                        $798,875

Less: Cost of Goods sold                                             ($390,250)

Gross Profit                                                                     $408,625

Less: Operating expenses                                            ($285,520)

Net income                                                                     $123,105

Answer: First of all, how much is it in all?

Step-by-step explanation:

Answer:

9 cm

Step-by-step explanation:

Call that length x.

We have: x + 5 = 14

=> x = 14 - 5 = 9 cm

Answer:

Ok so first one is 4/9x 2nd is (10 11/15) (x) 3rd is 9/20 and the 4th is 3 3/44

Step-by-step explanation:

Hope this helps! i learned this last semester :)

Answer:

x = 6.4

Step-by-step explanation:

ignore the rectangle part and cut it off. You'd get a triangle with legs of 5 and 4. do the hypotenuse thing. a squared + b squared = c squared. 5 squared + 4 squared = x squared. when you solve, you get rad 14, which simplifies to 6.4

Answer:

x=5

Step-by-step explanation:

see image

i used the pythagorean theorem, although if you know about 345 triangles, thats also a suitable explanation.

Step-by-step explanation:

x= 2 y = 10

x= 0 y = 8

x= 4 y = 12

Answer: (4,-3)

jfwfhwghfhkhhhsfufufcbvhvus

Answer:

1 13/15 yards

Step-by-step explanation:

2*3 = 6

6+ 2 = 8

8/3 * 5 = 40/15

4/5 * 3 = 12/15

40-12 = 28

28/15 = 1 13/15

Answer:

[tex]1 \frac{13}{15}[/tex]

Step-by-step explanation:

We have two fractions and are being asked to subtract them.

Since 2 2/3 and 4/5 don't have the same denominator, we must use the LCM expression, which means to find the lowest common multiple. So what is the lowest multiple of 3 and 5, this would be 15.

[tex]\frac{8*5}{3*5} - \frac{4*3}{5*3}[/tex]

[tex]\frac{40}{15} - \frac{12}{15}[/tex]

Now subtract :

[tex]\frac{28}{15}[/tex]

[tex]1\frac{13}{15}[/tex]

Answer:

sam has egg plant seeds she puts the seed up her as/s hopeing for big egg plants to come out fast Forward 6 days in the past no egg plant are up her a/ss yet why is thath

Step-by-step explanation:

Answer:

(7,5)

Step-by-step explanation:

(7,5) inversed would be (5,7). (5,7) is one of the points contained in the function above.

Answer:

im anserring for brainly points

Step-by-step explanation:

none honestly sorry

Answer:

a and  b

Step-by-step explanation:

well i dk b

Answer:

x = 8    b = -1     m = 3     x = 4

k = 4  m = 5     n =  8     x = -3

p = -7   x = -3    x = 8       v =1           x = 0

Step-by-step explanation:

Answer:

-8x² - 12x + 1

Step-by-step explanation:

just add or subtract values with the same terms. eg -7x + 4x ,, etc

Answer:

[tex]p=117[/tex]

Step-by-step explanation:

Given number is [tex]p[/tex].

Two-third of the number = [tex]\frac{2}{3}p[/tex]

One-third of the number = [tex]\frac{p}{3}[/tex]

The sum of a certain quantity [tex]p[/tex] together with two-third of that number, and one-third of that number, becomes 234.

[tex]p+\frac{2}{3}p+\frac{p}{3}=234\\\\\frac{3p+2p+p}{3}=234\\\\\frac{6p}{3} =234\\\\2p=234\\p=117[/tex]

Answer:

3t + 1,023

Step-by-step explanation:

The computation is shown below:

As a tutor it is $14 per hour

As a waitress it is $11 per hour

Total number of hours worked is 93

Now let us assume the number of hours worked as a tutor is t

So as a waiter is 93 - t

Now the equation is

= $14(t) + $11(93 - t)

= 14t + 1,023 - 11t

= 3t + 1,023

Answer:

I think 4 i don't know I tried

Answer:

Omar can buy a bunch of pairs of socks.

Step-by-step explanation:

u didnt give me an equation to solve

Answer:

At most of 7

Step-by-step explanation:

Answer:

The median is 8.05

Step-by-step explanation: