Point :
Parallel lines have same slopes.
_________________________________
[tex]6x + 5y = 11[/tex]
Subtract sides -6x
[tex] - 6x + 6x + 5y = - 6x + 11[/tex]
[tex]5y = - 6x + 11[/tex]
Divided sides by 5
[tex] \frac{5}{5}y = \frac{ - 6}{5}x + \frac{11}{5} \\ [/tex]
[tex]y = - \frac{6}{5}x + \frac{11}{5} \\ [/tex]
Look :
This is the slope-intercept of the given line. We know that the coefficient of x is the slope of the linear functions in slope-intercept form.
Thus the slope of the line which we want is :
[tex]slope = - \frac{6}{5} \\ [/tex]
_________________________________
We have following equation to find the point-slope form of the linear functions.
[tex]y - y(given \: point) = (slope) \times (x - x(g \: p) \: ) \\ [/tex]
Now just need to put the slope and the coordinates in the above equation.
[tex]y - ( - 8) = - \frac{6}{5} \times (x - ( - 2) \: ) \\ [/tex]
[tex]y + 8 = - \frac{6}{5}(x + 2) \\ [/tex]
To find the slope-intercept form of the above equation we need to take the y alone and then simplifies the equation.
Look :
[tex]y + 8 = - \frac{6}{5}x - \frac{12}{5} \\ [/tex]
Subtract sides by -8
[tex]y + 8 - 8 = - \frac{6}{5}x - \frac{12}{5} - 8 \\ [/tex]
[tex]y = - \frac{6}{5}x - \frac{12}{5} - \frac{40}{5} \\ [/tex]
[tex]y = - \frac{6}{5}x - \frac{52}{5} \\ [/tex]
This is what we want...
_________________________________
Now we must Check the equation by using the given point :
[tex]( - 8) = - \frac{6}{5}( - 2) - \frac{52}{5} \\ [/tex]
[tex] - 8 = \frac{12}{5} - \frac{52}{5} \\ [/tex]
[tex] - 8 = \frac{ - 52 + 12}{5} \\ [/tex]
[tex] - 8 = \frac{ - 40}{5} \\ [/tex]
[tex] - 8 = - 8[/tex]
So the equation is right.
_________________________________
And we're done.♥️♥️♥️♥️♥️
Sow your work
solve: ℎ/5 − 2 = −11
Answer:
-55
Step-by-step explanation:
Given expression:
[tex]\frac{h}{5}[/tex] - 2 = -11
To solve this problem implies finding the variable h;
[tex]\frac{h}{5}[/tex] - 2 = -11
Add +2 to both left and right hand side;
[tex]\frac{h}{5}[/tex] - 2 + 2 = -11 + 2
[tex]\frac{h}{5}[/tex] = -9
Now, multiply both sides by 5;
[tex]\frac{h}{5}[/tex] x 5 = -9 x 5
h = -45
solve this 100 - x = 24
Answer: -0.24
first you would take 100 and minus it from both sides giving you -x=0.24 then you divide the negative from both sides giving you -0.24.
PLEASE HELP WITH THIS
Answer:
Step-by-step explanation:
Start with this equation where 17 is the base, x is the power that 17 must be raised to. Then 2 is the result.
17^x = 2 Take the log of both sides
log(17^x) = log(2) Take the x outside the brackets
x log(17) = log(2) Divide by log 17
x = log(2)/log(17) Find the values for log 2 and log 17
log(2) = 0.3010
log(17) = 1.230
x = .3010/1.230
x = .2446
Multiply. Write your answer in simplest form. 1 4/7×2/5
Answer:
22/35
Step-by-step explanation:
Simplify the following:
((1 + 4/7)×2)/5
((1 + 4/7)×2)/5 = ((1 + 4/7)×2)/5:
((1 + 4/7)×2)/5
Put 1 + 4/7 over the common denominator 7. 1 + 4/7 = 7/7 + 4/7:
((7/7 + 4/7) 2)/5
7/7 + 4/7 = (7 + 4)/7:
(((7 + 4)/7)×2)/5
7 + 4 = 11:
(11/7×2)/5
11/7×2 = (11×2)/7:
((11×2)/7)/5
((11×2)/7)/5 = (11×2)/(7×5):
(11×2)/(7×5)
7×5 = 35:
(11×2)/35
11×2 = 22:
Answer: 22/35
find f(x+1) of f(x)= 2x^2 + 1
Answer:
Step-by-step explanation:
f(x+1) = 2(x+1)^2 + 1
= 2(x^2 + 2x + 1) + 1
= 2x^2 + 4x + 3
can someone help me put the reasons in order ? please !!
Answer:
i) Given
ii) Definition of angle bisector
iii) angle addition
iv) Substitution
v) Combine like terms
Mark me brainliest pls
Answer:
1) Given
2) Definition of Angle Bisector
3) Angle Addition
4) Substitution
5) Combine Like Terms
Step-by-step explanation: Hope this helps!
3 yellow marbles to 2 blue marbles, bag has 18 marbles, how many yellow marbles are in the bag?
Answer:
16 yellow marbles in total, because you subtract 2 from the 18 because then you just get the yellow marbles.
solve this 59 + x = 24
Hey there!
=> 59 + x = 24
=> x = 24 - 59
=> x = -35
Therefore, 59 + (-35) = 24
Answer:
[tex]\boxed{\sf{x=-35}}[/tex]
Step-by-step explanation:
A subtraction property of equations is the subject of this problem.
For the correct answer, you need to isolate x from one side of the equation.
59+x=24
First, switch sides.
x+59=24
Then, subtract by 59 from both sides.
[tex]\sf{x+59-59=24-59}[/tex]
Solve.
[tex]\sf{24-59=-35}[/tex]
[tex]\boxed{\sf{x=-35}}[/tex]
Therefore, the solution is x=-35, which is our answer.
I hope this helps you! Let me know if my answer is wrong or not.
How does 21 compare to 7? How does 21 compare to 3?
Write the numbers to describe the relationships.
21 is _____ times as many as 7.
21 is _____ times as many as 3
Answer:
21 is 3 times as many as 7.
21 is 7 times as many as 3.
Step-by-step explanation:
have a great day
Write the equation in standard form for the circle x² + y² + 6y - 4 = 0
Answer:
x^(2)+(y+3)^(2)=13
Step-by-step explanation:
What is the initial value of the function represented by this graph? (1 point)
z 10.7
6
5
4
14.0)
1 2 3 4 5
6
Oo
07
Answer:
it is 4. I think.................
Step-by-step explanation:
Cynthia paid $30 for herself and her 2 friends at the movies. Each person had a movie ticket, a bag of popcorn for $2, and a drink for $1. Cynthia had a coupon for $7.50 off. What was the original price of each ticket?
Answer:
9.5 dollars per ticket
Step-by-step explanation:
to start you have to add 7.5 to 30 dollars to get how much it would have cost normally you get 37.5. next subtract 9 dollars. 6 for the popcorn and three for the drinks. you get 28.5 then devide by three to get the cost of one ticket at 9 dollars and 50 cents hope this helped. if you have any more questions feel free to message me
Answer:
$7.50
Step-by-step explanation:
She paid $30 for herself(1) and 2 friends = 3 tickets
30-6(popcorn)=24-3(drinks)-22+7.50=29.50/3= $7.50
Mary works at the Middle School, but has to go to the airport to pick up her father. Her father works at City Hall. She drops her father at City Hall and then returns to the Middle School. How far did Mary travel if she took the shortest route?
A. 32 miles
B. 36 miles
C. 64 miles
D. 96 miles
Answer:
A. 32 miles
Step-by-step explanation:
The shortest route from the middle school to the airport is via City Hall and the high school. Returning by the same route lets Mary drop her father at City Hall as required. The total map distance is ...
2(21 cm +12 cm +15 cm) = 2(48 cm) = 96 cm
At a scale of 3 cm per mile, that distance represents ...
(96 cm)/(3 cm/mi) = 32 mi
Mary traveled 32 miles.
Answer:
A. 32 miles
Step-by-step explanation:
i got it right on edge
The student body of 175 students wants to
elect a president, vice president, and
secretary.
O Permutation; 5,267,850
Permutation; 4,291,165
O Combination; 1,316,962
Permutation; 4,271,085
The student body of 175 students wants to elect a president, vice president, and secretary, This is an example of a permutation
What is permutation?A permutation is an arrangement of objects in a definite order. A permutation is a calculation that shows the number of ways a particular set can be arranged, where the order of the arrangement matters.
Permutation is given by
[tex]^nP_r=(n-r)![/tex]
The student body of 175 students wants to elect a president, vice president, and secretary. This is a permutation and is given by:
¹⁷⁵P₃ = (175 - 3)!
Find out more on permutation at: https://brainly.com/question/1216161
Pls help on a timer:::Which statement best describes a characteristic unique to renewable resources? O Renewable resources are abundant. O Renewable resources form slowly. O Renewable resources can be used to generate electricity. O Renewable resources are found in nature.
Answer:
Renewable resources are abundant.
Step-by-step explanation
I have answered this question before
Answer:
A. Renewable resources are abundant.
Step-by-step explanation:
hope this helps
The graph represents the speed at which Pete’s marble travels.
The speed of Stephano’s marble is represented by the equation f = 2.25s, where f is the distance in feet and s is the time in seconds.
Whose marble will reach the 6-foot mark sooner?
Answer:
Step-by-step explanation:
Given the speed of Stephano’s marble is represented by the equation
f = 2.25s, where f is the distance in feet and s is the time in seconds.
To get the marble that will reach the 6-foot mark sooner, we will substitute the value of f = 6 and calculate the value of s as shown:
f = 2.25s
6 = 2.25s
s = 6/2.25
s = 2.67secs
Hence the 6 foot marble will reach after 2.67secs
Simplifying 7^3 * 7^6 *7^-2
Answer:
823543
Step-by-step explanation:
[tex]7^3\cdot \:7^6\cdot \:7^{-2}[/tex]
[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}[/tex]
[tex]7^3\cdot \:7^6\cdot \:7^{-2}=7^{3+6-2}[/tex]
[tex]=7^{3+6-2}[/tex]
[tex]\mathrm{Add/Subtract\:the\:numbers:}\:3+6-2=7[/tex]
[tex]=7^7[/tex]
[tex]7^7=823543[/tex]
Answer = 823543
~Learn with Lenvy~
Nicole drove 603 miles in 9 hours.
At the same rate, how many miles would she drive in 11 hours?
Answer:
737 miles
Step-by-step explanation:
v = [tex]\frac{d}{t}[/tex] =[tex]\frac{603 miles }{9 hr} =67 \frac{miles}{hr} \\\\67\frac{miles}{hr} =\frac{d}{11 hr} \\d=737 miles[/tex]
Pls help i dont understand :(
Answer:
The answer is B.
Step-by-step explanation:
The answer is B, because if you have a vertical line, it is undefined. And also, it is on the x-axis, therefore it would be x = 4.
Answer
b. x=4, undefined
Step-by-step explanation:
the x value constantly stays at 4 because it’s a straight vertical line. there’s no slope because it’s straight up and down.
Do this word document for 50 Points thank you
Answer/Step-by-step explanation:
Explanation for False ( Counterexample)
[2] False. Look at the picture below
[4] False Look at picture below
Answer:
ion know
beyond ma capacity
• Ram, Hari and Shyam go for a swim after a gap of every 1 day, 2 dayand 3 days respectively. How many times will all they meet on the same day within 180 days?
The least common multiple that is divisible by both a and b is the smallest positive integer. The number of times Ram, Hari and Shyam will meet in 180 days is 30 times.
What is LCM?The least common multiple that is divisible by both a and b is the smallest positive integer, lowest common multiple, or smallest common multiple of two numbers a and b, generally indicated by LCM.
Given that Ram, Hari and Shyam go for a swim after a gap of every 1 day, 2 days and 3 days respectively. Therefore, the number of day after which all three together will meet can be found by taking the LCM.
Since the LCM of the 1, 2 and 3 are 6. Therefore, the three of them will meet after every 6 days.
Thus, if they all meet today then within 180 days, the number of times they meet is,
Number of times they meet = 180 days/6 = 30
Hence, the number of times Ram, Hari and Shyam will meet in 180 days is 30 times.
Learn more about Least Common Multiple:
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At 6 am, the temperature was -5 degrees F. At 9 am, the temperature had risen by 8 degrees F.
By 4 pm, the temperature dropped another 12 degrees F. What integer describes the
temperature now after dropping at 4 pm?
Answer: -9 degrees
Explanartion:
-5+8=3
3-12=-9
Answer:
probably -9 degrees
Step-by-step explanation:
Help me help me please
Answer:
3
Step-by-step explanation: I guess
one leg of a right triangle is 21 centimeters long. The hypotenuse of the triangle is 29 centimeters long. What is the length of the unknown leg?
Answer:
20 cm
Step-by-step explanation:
A2 + B2 = C2
C is your hypotenuses = 29 cm
And one leg of a right triangle is 21 cm long
So we have A2 = (21cm)2 = 441 cm + B2 = (29cm)2 = 841cm
B2 = 841 - 441 = 400
B = √400 = 20
So the third leg of a triangle that has a hypotenuses of 29 cm and one side of a right triangle that is 21 cm long is 20 cm
Can someone please help quick!
Answer:
7) given
8) distributive property
9) subtraction property
10) division property
11) HA = WK
12) segment addition
13) Substitution
14) HW = AK
1) A group of five friends goes to the state fair. Each friend pays the entrance fee and buys
one booklet of ride tickets and a meal ticket. The entrance fee is d dollars. A booklet of ride
tickets costs 2.5 times the entrance fee. A meal ticket costs $4 less than the entrance fee.
) The expression
5d +5(2.5d) + 5(d – 4) represents the amount the
friends pay altogether in dollars.
1. Which part of the expression represents the total amount the friends
pay for meal tickets?
2.5d
5(d - 4)
d - 4
5(2.5d)
Answer:
[tex] 5(d - 4) [/tex]
Step-by-step explanation:
Entrance fee per head = d
Entrance fee for the 5 friends = 5*d = 5d
Booklet of ride ticket per head = 2.5d
Booklet of ride ticket for the 5 friends = 5(2.5d)
Meal ticket per head = d - 4
Meal ticket for the 5 friends = 5(d - 4)
Total amount paid altogether by the five friends = [tex] 5d + 5(2.5d) + 5(d - 4) [/tex]
From this breakdown above, the total amount paid by the 5 friends for their meal tickets = [tex] 5(d - 4) [/tex]
Part 2 of this question: Which part of the expression represents the total amount each friend pays?
Answer: d+2.5d+d-4
is 4/10 greater than 14/35?
Which of the following is a step in simplifying the expression
Answer:
option B
explanation:
[tex]\rightarrow \sf (\dfrac{xy^2}{x^{-3}y^3} )^{-4}[/tex]
multiply powers: [tex]\bold{(a^b)^c = a^{bc}}[/tex]
[tex]\rightarrow \sf \dfrac{x^{-4}y^{2*-4}}{x^{-3*-4}y^{3*-4}}[/tex]
simplify the following
[tex]\rightarrow \sf \dfrac{x^{-4}y^{-8}}{x^{12}y^{-12}}[/tex]
1. Given a = 18, A = 105 degrees, and B = 32 degrees, use the Law of Sines to solve for b. Round your answer to the nearest tenth, and enter the number only.
2. Given c = 20, C= 101 degrees, and b = 14, use the Laws of Sines to solve for B. Round your answer to the nearest degree.
3. Given a= 100, A= 80 degrees, and b = 61, use the Law of Sines to solve for B. Round your answer to the nearest degree.
Answer:
1) 9.9 (nearest tenth)
2) 43° (nearest degree)
3) 37° (nearest degree)
Step-by-step explanation:
Please see the attached picture for the full solution.
As of April 2006, roughly 50 million web domain names were registered (e.g., ). How many domain names consisting of just two letters in sequence can be formed? How many domain names of length two are there if digits as well as letters are permitted as characters? [Note: A character length of three or more is now mandated.] ANSWER ↓ How many domain names are there consisting of three letters in sequence? How many of this length are there if either letters or digits are permitted? [Note: All are currently taken.] ANSWER ↓ Answer the questions posed in (b) for four-character sequences. ANSWER ↓
Answer:
a) 676, 1296
b) 17576, 46656
c) 456976, 1679616
Step-by-step explanation:
firstly we know that there are 26 letters in the alphabet.
there are 26 ways of choosing the first character and 26 ways choosing the second character,
Therefore, the possible number of domains with two leeter is;
n = 26²
= 26 × 26
= 676
now when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore the possible number of domains with two characters is;
n = 36²
= 36 × 36
= 1296
b)
there are 26 ways of choosing each character
therefore, the possible number of domains with three letters is
n = 26³
= 26 × 26 × 26
= 17576
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore , the possible number of domains with three characters is;
n = 36³
= 36 × 36 × 36
= 46656
c)
there are 26 ways of choosing each character, therefore the possible number of domains with four letters is;
n = 26⁴
n = 26 × 26 × 26 × 26
n = 456976
when the digits are allowed, there are 26 + 10 = 36 characters to be used in total
therefore, the possible number of domains with four characters is;
n = 36⁴
n = 36 × 36 × 36 × 36
= 1679616
There are 676 domain names consisting of just two letters in a sequence that can be formed.
There are 1296 domain names of length two are there if digits, as well as letters, are per-mitted as characters.
There are 17576 domain names are there consisting of three letters in sequence.
There are 46656 of this length are there if either letters or digits are permitted.
GivenAs of April 2006, roughly 50 million web domain names were registered.
1. How many domain names consisting of just two letters in sequence can be formed?
There are 26 letters in the English alphabet.
Combining 2 domain names with letters alone will be;
[tex]\rm =n^2\\\\ = 26^2\\\\ =26 \times 26\\\\=676[/tex]
2. How many domain names of length two are there if digits, as well as letters, are per-mitted as characters.
If digits are allowed with letters:
There are 10 digits from 0-9.
Therefore 26 letters + 10 digits = 36
[tex]\rm = n^2 \\\\= 36^2 \\\\ = 36 \times 36 \\\\ = 1296[/tex]
3. How many domain names are there consisting of three letters in sequence?
There are 26 ways of choosing each character;
Therefore, the possible number of domains with three letters is;
[tex]= \rm n^3\\\\= 26^3\\\\= 26 \times 26 \times 26\\\\= 17576[/tex]
4. How many of this length are there if either letters or digits are permitted?
The digits are allowed, there are 26 + 10 = 36 characters to be used in total
Therefore, the possible number of domains with three characters is;
[tex]\rm = n^3 \\\\= 36^3 \\\\ = 36 \times 36 \times 36\\\\ = 46656[/tex]
To know more about Digits click the link given below.
https://brainly.com/question/1291874