Please help heres some points!
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Consider the complete question is "The equation of the line [tex]L_1[/tex] is y=5x+1 and the equation of line [tex]L_2[/tex] is 2y-10x+3=0. How can you show that these two lines are parallel?"

Given:

Equation of [tex]L_1[/tex] is [tex]y=5x+1[/tex].

Equation of [tex]L_2[/tex] is [tex]2y-10x+3=0[/tex].

To show:

The these line as parallel.

Solution:

We have,

[tex]y=5x+1[/tex]        ...(i)

[tex]2y-10x+3=0[/tex]      ...(ii)

Equation (ii) can be written as

[tex]2y=10x-3[/tex]

[tex]y=\dfrac{10x-3}{2}[/tex]

[tex]y=\dfrac{10x}{2}-\dfrac{3}{2}[/tex]

[tex]y=5x-\dfrac{3}{2}[/tex]           ...(iii)

Slope intercept form of a line is

[tex]y=mx+b[/tex]          ...(iv)

where, m is slope and b is y-intercept.

On comparing (i) with (iv), we get slope of line [tex]L_1[/tex].

[tex]m_1=5[/tex]

On comparing (iii) with (iv), we get slope of line [tex]L_2[/tex].

[tex]m_2=5[/tex]

Since, [tex]m_1=m_2[/tex], therefore, lines [tex]L_1[/tex] and [tex]L_2[/tex] and parallel because slope of two parallel lines are always equal.

Hence proved.

Answer:

csc²x

Step-by-step explanation:

cot^2(x)sec^2(x)

~Rewrite

1/cos²x * cos²x/sin²x

~Multiply

cos²x/cos²xsin²x

~Cancel out

1/sin²x

~Rewrite using trig identity

csc²x

Best of Luck!

Answer:

18000000 km

Step-by-step explanation:

25000*24*30=18000000

Answer:

27.5

Step-by-step explanation:

Answer:

Answer: 27.5 and your welcome!!

Answer:

C

Step-by-step explanation:

Answer:

1. 5

2.1

3.-1

4.-3

Step-by-step explanation:

Hope this helps :)

The equation is 250+15x is that's what your asking

Answer:

$160

Step-by-step explanation:

Step one:

given data

Principal = $2000

rate= 8%

time t= 1 year

Required

The Simple interest paid after 1 year

Step two:

Simple interest = PRT/100

Simple interest = 2000*8*1/100

Simple interest = 16000/100

Simple interest =$160

The simple interest paid after 1 year is $160

Answer:

where are the squares?

Step-by-step explanation:

Answer:

Dimes: 10 dimes

Nickles: 6 nickels.

Step-by-step explanation:

Dimes: 10 x 0.10 = 1.00

Nickels: 6 x 0.05 = 0.30

$1.00 + $0.30 = 1.30

Answer:

4

Step-by-step explanation:

Answer:

The answer is t.

Step-by-step explanation:

We need to find the sum of opposite of - 10t and t - 10t.

Opposite of -10t = 10 t

So,

10t + (t-10t)

Grouping the numbers,

(10t+(-10t)) + t

= 0 + t

= t

Hence, the answer is t.

Answer:

but its somwere in 67

Step-by-step explanation:

Answer:

Have a great rest of ur day

Step-by-step explanation:

Answer:

That's as far as I know.

Step-by-step explanation:

6(3x+8)+32+12x

18x+48+32+12x

30x+48+32

30x+80

Answer:

3/2

Step-by-step explanation:

The ratio of the quarts of tomatoes to the number of the baskets. in the simplest form is 3:2.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Given that, You make 9 quarts of tomato sauce from 6 baskets of tomatoes.

We need to find the ratio, between quarts of tomatoes and number of the baskets.

There are 9 quarts of tomato for 6 baskets,

Therefore, the required ratio will be = quarts of tomato : number of the baskets.

= 9 : 6

= 3 : 2

Hence, the ratio of the quarts of tomatoes to the number of the baskets. in the simplest form is 3:2.

Learn more about ratios, click;

https://brainly.com/question/13419413

#SPJ2

x = 78 + 10 = 88

So the lenght of EG is 88

Answer:

Step-by-step explanation

Multiply 54 + 24 and take the square root of both numbers

Answer:

y = 17x

Step-by-step explanation:

Answer:

[tex]\dfrac{6x+2}5}[/tex]

Step-by-step explanation:

The given expression is :

[tex]\dfrac{3x}{5}+\dfrac{2}{5}+\dfrac{3x}{5}[/tex]

We need to write the equivalent expression for the above expression.

Taking like terms together,

[tex]=(\dfrac{3x}{5}+\dfrac{3x}{5})+\dfrac{2}{5}\\\\=\dfrac{3x+3x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x}{5}+\dfrac{2}{5}\\\\=\dfrac{6x+2}5}[/tex]

So, the equivalent expression is [tex]\dfrac{6x+2}5}[/tex].

Answer:

The y-value (output) is equal to 1

Step-by-step explanation:

f(x) = 1

f(x) takes the place of y, so this could be rewritten as

y = 1

Answer:

Hi how are you doing today Jasmine

Answer:

Lower bound = 3.835

Upper bound = 3.844

Step-by-step explanation:

Given,

A number rounded to 2 decimal place = 3.84

In other to obtain the least and greatest number, we are mostly concerned about the third digit after the decimal point.

Knowing that numbers 5 and above are rounded to 1 while numbers below 5 are rounded to Zero.

Hence, the lower bound should have its original hundredth value as (4 - 1) such that it becomes 4 when the thousandth value is rounded to 1.

Lower bound = 3.835

The upper bound should have its thousandth value as one which is rounded to Zero, just a point below 5

Upper bound = 3.844

Answer:

63 employees.

Step-by-step explanation:

To find the number of employees highered last year;

110% of employees represent 70

100% of the employees will represent;

Cross-multiplying gives;

[tex]\frac{100 * 70}{110} = 63.6[/tex]

To be realistic, 63 employees were highered last year.

Answer:

Its another day at the zoo

As people take photos of me

No wonder their crazy

I am just eating

My  delicious great  bamboo!

Answer:

rational

Step-by-step explanation:

can be put into a fraction

[tex]\dfrac {17}{36}[/tex]  is a rational number.

Rational numbers are those numbers that can be expressed in terms of fraction or ratio of two integers.

Here are some examples of rational numbers i.e. [tex]-8, \dfrac{2} {5}, 7.75.[/tex]

Irrational numbers are those numbers that can not be written in terms of fraction. These numbers can not be expressed in any finite way.

Here are some examples of irrational numbers: [tex]\sqrt{2}[/tex], [tex]\sqrt{2.5}[/tex].

For more details about the rational and irrational numbers, follow the link given below:

https://brainly.com/question/2563850

Answer:

Step-by-step explanation:

That’s the answer (the pic)

Answer:

0000000000000000000000.83 pounds

Answer:

8 = 16

Step-by-step explanation:

1/4  =  4 /8

Cross multiply:

1 * 8 = 4 * 4

Simplifying

1 * 8 = 4 * 4

Multiply 1 * 8

8 = 4 * 4

Multiply 4 * 4

8 = 16

Solving

8 = 16

no i haven't

sorryyyyyyy