the equation of line L is y=5x+1
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.
Complete the table by finding the values of y if y = −2x + 1.
Need ASAP!!! Please and thank you.
Answer:
1. 5
2.1
3.-1
4.-3
Step-by-step explanation:
Hope this helps :)
What is the lenth of EG
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
There are 60 new houses being built in a neighborhood. Last month 1/3 of them were sold. This month 1/5 of the remaining houses were sold. How many houses are left to be sold?
Answer:
4
Step-by-step explanation:
1. You get a student loan from the New Mexico Educational Assistance Foundation to pay for your educational expenses this year. Find the interest on the loan if you borrowed ₱2 000 at 8% for 1 year.
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
Pleaseee helppppppppppp
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
Has anyone done this before ?
no i haven't
sorryyyyyyy
A number, rounded to 2 decimal places, is equal to 3.84.
Write down the lower and upper bounds of the number.
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
Which set of statements would describe a parallelogram that can always be classified as a rhombus?
I. Diagonals are perpendicular bisectors of each other
II. Diagonals bisect the angles from which they are drawn
III. Diagonals form four congruent isosceles right triangles
Lisa buys 0.56 pound of pasta. marlana buys 0.27 pound of pasta. how much do they buy in all?
Answer:
0000000000000000000000.83 pounds
translate the phrase twice m increased by 2 is equal to 7 more then m
pls show your work plss
thx
A. m/2 + 2 = 7 + m
B. 2m + 2 = 7 + m
C. 2m + 2 = m + 7
D. 2m * 2 = m + 7
You make 9 quarts of tomato sauce from 6 baskets of tomatoes.
What is the ratio of quarts to baskets in simplest form?
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.
What is ratio?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
one more lol sprry for a lot of post
Answer:
A
Step-by-step explanation:
Write the sum, and then write an equivalent expression by collecting like terms and removing parentheses whenever possible.
d. The opposite of - 10t and t - 10t
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.
PLEASE HELP ME NOW HURRY PLEASE HELP ME IM BEGGING DONT SKIP PLEASE HURRY
Answer:
y = 17x
Step-by-step explanation:
Write a short free verse poem describing the panda bear in the image.
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!
PLEASE HELP GIVING BRAINLEST PLEASE 30 POINTS
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
which ratio does not represent the slope of a line
Answer:
more info please
Step-by-step explanation:
1. Dilate the function p(x) = (x+2),
by (2x + 4)
Answer:
Hi how are you doing today Jasmine
The price per night of a hotel room is $ 250.00 plus $15 per person staying in the room. Which function rule would be used to determine the price of a hotel room, p (x) given the number of people, x, staying in the room.
The equation is 250+15x is that's what your asking
is 17/36 rational or irrational
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
Which statement describes the congruent triangles?
Z
Y
W
Х
AWXZ AYZX
AWXZ: AYXZ
AWXZ=AXYZ
AWXZ=AZYX
Answer:
it has to be b or c
Step-by-step explanation:
The expression above can also be written in the form
Will mark brainliest!!!!! Please help
Answer:
but its somwere in 67
Step-by-step explanation:
Answer:
Have a great rest of ur day
Step-by-step explanation:
A bag contains 16 coins consisting of
dimes and nickels. The total value of
coins is $1.30. How many of each
type of coin are there?
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
What dvision problem can be represented using the number line?
A) 10/3 divided by 5/3. B) 5/3 divided by 10/3. C)2 divided by 5/3. D)2 divided by 10/3
Answer:
C
Step-by-step explanation:
Solve the proportion.
s+1/4 = 4/8
s=
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
What is 4.4% of 625?
Answer:
27.5
Step-by-step explanation:
Answer:
Answer: 27.5 and your welcome!!
Simplify cot^2 x sec^2 x
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!
Can someone please help me on Number 3 Please :)
Answer:
18000000 km
Step-by-step explanation:
25000*24*30=18000000
Spearhead Toy company hired 70 people this year. They have hired 10% more employees this year than last year. How many employees have been hired this year?
Answer:
63 employees.
Step-by-step explanation:
Spearhead Toy company hired 70 people this year.They have hired 10% more employees this year than last year.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.