Mathematics High School

The equation of the line 1 is y = 3x – 2.
The equation of the line 2 is 3y – 9x + 5 = 0
Show that these two lines are paralle

Answers

Answer 1

Step-by-step explanation:

Given

Line 1 is

[tex]y=3x-2\quad \ldots(i)[/tex]

Line 2 is

[tex]3y-9x+5=0\\3y=9x-5\\y=3x-\frac{5}{3}\quad \ldots(ii)[/tex]

the slope-intercept form of the line is

[tex]y=mx+c[/tex]

where,

[tex]m=\text{Slope}\\c=\text{Intercept on y-axis}[/tex]

Comparing it with [tex](i)\ \text{and}\ (ii)[/tex]

The slope of both the line is same i.e. [tex]m=3[/tex]

Therefore, both lines are parallel to each other

Related Questions

Please help me someone smart

Answers

Answer:

When A is positive there is a minimum vertex.

Step-by-step explanation:

When a parabola is positive the opening goes upwards. When a parabola is negative it goes downwards. The negative sign on the A coefficient means that you reflect your equation across the x-axis

Answer:

The first one.

Step-by-step explanation:

I REALLLY NEEDDD HELPP PLZZZZZ. PLZZZZ TAKE YOUR TIMEE

Answers

Answer:

Landers' Mean: 136

Landers' Median: 133

Shakaka's Mean: 136

Shakaka's Median: 133

Step-by-step explanation:

Landers:

Least to greatest: 96, 96, 120, 133, 145, 160, 202

Mean: (96+ 96+ 120+ 133+145+ 160+202)/7 = 136

Median: Since the total numbers is odd, it's just flat out in the middle

133

Shakaka:

Least to greatest: 45, 51, 118, 121, 145, 178, 212, 218

Mean: (45+ 51+ 118+ 121+ 145+ 178+ 212+ 218)/8 = 136

Median:

(121 + 145)/2 = 133

Type the expression that results from the following series of steps:
Start with g, subtract 7, then times by 3.​

Answers

Answer:

start with g

g

subtract 7

g-7

multiply by 3

3(g-7)

Therefore the expression is

3g-21

~I NEED HELP 7 points!!!~

Answers

Answer:

Yes

Step-by-step explanation:

If i got it wrong my bad

Answer:

Yes. ( I don't know if they want the answer I'm thinking ). : )

Step-by-step explanation:

Doing this again, please answer! Eighth grade math. <3

Answers

Answer:18a^(2/3) * b^(5/4)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

(2*a^1/3 * 3 * b^1/2)  (a^1/3 * 3* b^3/4)

=(2*3*3)(a^1/3*a^1/3)(b^1/2*b^3/4)

=18 * a^(1/3*1/3) * b^(1/2+3/4)

=18 a^2/3 b^5/4

Lena drive 696 miles in 12 hours. At the the same rate, how long would it take her to drive 522 miles?

Answers

Answer:

It would take Lena 9 hours.

Step-by-step explanation:

Looking at the problem I can do 696/12 to get the number of miles per hour she is traveling which is 58. With this number, I can take 522/58 to get 9 hours.

Answer:

Step-by-step explanation:

Remark

The best way to do this is to set up a proportion. It can be done by using d = r * t twice, but a more direct way is to use the proportion.

Formula

distance1 / time1 = distance2 / time2

Givens

distance1 = 696 miles

time1 = 12 hours

distance2 = 522 miles

time2 = x

Solution

696/12 = 522/x       Cross multiply

696 * x = 522* 12    Combine the right

696 * x = 6264        Divide by 696

x = 6264/696

x = 9 miles

Solve and graph 5m-8> 12

Answers

Answer:

4

Step-by-step explanation:

here's your solution

=> 5m - 8 > 12

=> 5m > 12 + 8

=> 5m > 20

=> m > 20/5

=> m > 4

hope it helps

I’m slowwwwwwww HELPPPP

Answers

Answer:

150.8

Step-by-step explanation:

Volume of cone= [tex]\pi r^{2} \frac{h}{3}[/tex]

r=radius and h=height

So, radius of this cone is half of diameter(8/2)=4

[tex]\pi[/tex] x 4^2 x 9/3 = 150.79 which is about 150.8 ft

Ariana wants to ride her bicycle 37 miles this week. She has already ridden 14 miles. If she rides for 5 more days, write and solve an equation which can be used to determine xx, the average number of miles she would have to ride each day to meet her goal.

Answers

Answer:

4.6 miles for 5 days.

Step-by-step explanation:

37 - 14 = 23

23 divided by 5 = 4.6

Sabrina has a rectangular swimming pool in her backyard. She fills it with water to the depth of 4 feet. The water in the pool has a volume of 1600 cubic feet.

What are the possible dimensions of the swimming pool with the given depth? Select ALL that apply.

Answers

Answer:

I think that the answers would be second one and fifth one , good luck .

This is due in 6 minutes please help

Answers

Answer:

f(x)=-2x^2+32x-114

Step-by-step explanation:

Answer:

f(x) = -2x^2 + 142

Step-by-step explanation:

f(x) = -2(x - 8)^2 + 14

f(x) = -2(x)^2 - (-2)(-8)^2 + 14

f(x) = -2x^2 - (-2)(64) + 14

f(x) = -2x^2 - (-128) + 14

f(x) = -2x^2 + 128 + 14

f(x) = -2x^2 + 142

necesito esto para hoy y no entiendo

Answers

Operación: (+6)-(3). Piso Final: +3

Inicial: +8 Operación: (+8)+(+1) Piso final: +9

Inicial: +10 Operación: (+10)-(4) Piso final: +6

AQB= 5x+4 BQC=8x-20
What does x =

Answers

Answer:

set both equations equal to each other.

Step-by-step explanation:

5x+4 = 8x-20

-5x.     -5x

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

   4= 4x - 20

+20         +20

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

  24÷4 = 4x÷4

     6= x

Please help me with this problem...It is a quick problem ​

Answers

Answer:

D

Step-by-step explanation:

Answer:

the answer is D

the climate and weather are two different things

weather is daily

and climate is like winter or spring and summer or fall

so the answer is D

Step-by-step explanation:

Sasha wants to buy some dresses over the Internet. Each dress costs $7.15 and has a
shipping cost of $9.95 per order. If Sasha wants to spend no more than $60 for her
dresses, which inequality shows the maximum number of dresses, p, that she can buy?

Answers

Answer:

3

Step-by-step explanation:

7.15 plus 9.95 = 17.1

so 60 divided by 17.1 = is 3.508

so you can buy 3 whole dresses.

HELP WHAT DOES RANGE MEAN IN MATH LLANGUAGE????!!!!!

Answers

Answer:

Range is the difference between the largest number and the smallest number in a set of values.

Explanation:

For example, if I have a set of values of 12, 4, 6, 34, 6, 2, 7, and 5, the range here will be 32. This is because 34, the largest number in the set minus 2, the smallest number equals 32.

SOMEONE PLS HELP :(!!!!!!

Answers

it would be C as the answers

-39- 7 hep me plz d and ty

Answers

Answer:

-46

Step-by-step explanation:

A bag contains 13 blue marbles, 9 red marbles, and 10 yellow marbles. What is the probability of randomly drawing a yellow marble? Enter your answer as a fraction, like this: 42/53

Answers

10/32 or if reducing 5/16

The probability of randomly drawing a yellow marble is 5/16.

What is Probability?

It is a branch of mathematics that deals with the occurrence of a random event.

Given that  bag contains 13 blue marbles, 9 red marbles, and 10 yellow marbles

There are a total of 13 + 9 + 10 = 32 marbles in the bag, out of which 10 are yellow.

The probability of randomly drawing a yellow marble can be found by dividing the number of yellow marbles by the total number of marbles:

P(Yellow marble) = Number of yellow marbles / Total number of marbles

= 10 / 32

Simplifying this fraction, we get:

P(Yellow marble) = 5 / 16

Therefore, the probability of randomly drawing a yellow marble is 5/16.

To learn more on probability click:

https://brainly.com/question/11234923

#SPJ2

Determine whether the triangles are congruent by using transformations. Explain your reasoning. ​

Answers

Answer:

Step-by-step explanation:

im not sure i even tried solving it alone but i dont know the answer im sorry

Determine the slope of a line that passes through the following points.
(3,4), (5,7)

Answers

3.4 bc t itciyc txutxutxytxutciyxitxutcutcutcutx tx txt it

Answer:

6/4 and can be simplified as 3/2

Step-by-step explanation:

Evaluate:
3³ - 8 (3)

A. 6
B. 3
C. 4

Answers

Answer:

B) 3

Step-by-step explanation:

3^3-8(3)

3*3*3-24

9*3-24

27-24

3

9, Ivan uses 30 craft sticks to make each toy
cabin. He has a box of 342 craft sticks.
How many toy cabins can lvan make?
How many sticks will be left?

Answers

Ivan can make 11 toy cabins and has 12 sticks left over.

Kevin was playing a basketball game in the arcade.
He made 15 shots and missed 25 shots. What is the
percentage of shots Kevin made in the game?

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60% is the correct answer.

A sine curve with a period of 8, an amplitude of 2, a left phase shift of /3, and a vertical translation down 5 units.

Answers

Answer:

[tex]y=2sin[\frac{\pi}{4}(x+3) ]-5[/tex]

Step-by-step explanation:

The standard form for a sinusoidal function is given by:

y = Asin[B(x - C)] + D

Where A is the amplitude of the sine wave, the period is 2π/B, C is the phase shift and D is the vertical displacement / translation

Given:

A = 2, D = -5 (down), C = -3 (left).

8 = 2π/B; B = π/4

Therefore:

[tex]y=2sin[\frac{\pi}{4}(x+3) ]-5[/tex]

Uthara has 6x - 7 pairs of shoes while China has 2x + 3 pairs of shoes. To find how many more pairs of shoes does Uthara have than China?

(please answer quickly)

Answers

Answer:

4x-10

Step-by-step explanation:

[tex](6x-7)-(2x+3)=6x-7-2x-3=4x-10[/tex]

7 and 76 and 666 sorry

9kg600g=__g
convert this
with full expailnatin​

Answers

Answer:

9kg 600g = 9600 g

Step-by-step explanation:

here's the solution :-

we know, 1 kg = 1000 grams

so,

=》9kg = 9 × 1000 = 9000 grams

now, 9kg 600 g

=》9000 + 600

=》9600 grams

the diagram shows a right angle triangle..

Answers

Area of triangle = base x height x 1/2

18 = (x - 1) • (x + 4) • 1/2

18 • 2 = (x - 1) • (x + 4)

36 = (x - 1)(x + 4)

36 = (x² + 4x - 1x - 4)

36 = x² + 3x - 4

0 = x² + 3x - 4 - 36

x² + 3x - 40 = 0

(x + 8)(x - 5) = 0

x + 8 = 0 or x - 5 = 0

x = -8 or x = 5

“-8” is rejected, as length/width/height can’t be negative.


The length of the shortest side the triangle:

Short side = x - 1

= 5 - 1

= 4

Which is the BEST example of a domain-specific​

Answers

Answer:

Example 2:

Step-by-step explanation:

The domain is the set of x -coordinates, {0,1,2} , and the range is the set of y -coordinates, {7,8,9,10} . Note that the domain elements 1 and 2 are associated with more than one range elements, so this is not a function.

Find the missing value here.

Answers

Answer:

The value of x is 6.66

Step-by-step explanation:

For answer refer to the attachment

Related Information :-

There are 4 similarity conditions,

SAS ( side angle side )AAS ( angle angle side )SSS ( side side side )AAA ( angle angle angle)
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