What is the equation of this line in standard form?
6x−7y=11
6x−7y=−11
7x−6y=11
6x−5y=−13
Answers
9514 1404 393
Answer:
(b) 6x −7y = −11
Step-by-step explanation:
Perhaps the easiest way to approach this is to look at the y-intercept. To find it, set the value of x to zero, and divide by the y-coefficient. The y-intercepts of these equations are ...
a) 11/-7 = -1 4/7
b) -11/-7 = 1 4/7 . . . . possible candidate
c) 11/-6 = -1 5/6
d) -13/-5 = 2 3/5
The only y-intercept that matches the graph is the one for equation ...
6x -7y = -11
_____
You can use any of several other strategies to verify this choice:
1) Putting the given point values into the equation:
for (-3, -1): 6(-3) -7(-1) = -18 +7 = -11 . . . . yes
for (1/2, 2): 6(1/2) -7(2) = 3 -14 = -11 . . . . yes
__
2) Finding the equation from the given points.
m = (y2 -y1)/(x2 -x1) = (2 -(-1))/(1//2 -(-3)) = 3/(3 1/2) = 6/7
Then the point-slope equation is ...
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -(-1) = 6/7(x -(-3)) . . . . . substitute known values
7y +7 = 6x +18 . . . . multiply by 7, simplify
6x -7y = -11 . . . . . . . add -18 -7y to both sides
Related Questions
What is the value of the expression 4.2(x−y)4 , when x = 12 and y = 5.6 as a decimal?
Answers
Answer:
6.72
Step-by-step explanation:
Which expressions have a value that is greater than 1?
Answers
Answer:
Im not sure about A but other then that B and D have greater values then one
Step-by-step explanation:
[tex]~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \boxed{A}\qquad \cfrac{3^{-2}}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{3^3}\implies \cfrac{~~\frac{1}{3^2} ~~}{\cfrac{3^3}{1}}\implies \cfrac{1}{3^3\cdot 3^2}\implies \cfrac{1}{3^5}\implies \cfrac{1}{243}\qquad \textit{\large \checkmark}[/tex]
[tex]\boxed{B}\qquad \cfrac{5^3}{5^2}\implies 5^3\cdot 5^{-2}\implies 5^{3-2}\implies 5^1\implies 5\qquad \bigotimes \\\\\\ \boxed{C}\qquad 9^0\implies 1\qquad \bigotimes \\\\\\ \boxed{D}\qquad \cfrac{(2^3)^2}{2^2}\implies \cfrac{2^{3\cdot 2}}{2^2}\implies \cfrac{2^6}{2^2}\implies 2^6\cdot 2^{-2}\implies 2^4\implies 16\qquad \textit{\large \checkmark} \\\\\\ \boxed{E}\qquad \cfrac{2^3}{2^8}\implies 2^3\cdot 2^{-8}\implies 2^{3-8}\implies 2^{-5}\implies \cfrac{1}{2^5}\implies \cfrac{1}{32}\qquad \bigotimes[/tex]
The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =
Answers
Answer:
X = 48 inches for the shortest side
Step-by-step explanation:
9s = first side
10s = second side
4s = third side
Perimeter = sum of the sides
276 = 9s + 10s + 4s
276 = 23s
276/23 = s
12 = s
9s = first side; 9(12) = 108
10s = second side; 10(12) = 120
4s = third side; 4(12) = 48
Solve the Linear Quadratic system of equations
y=x^(2)+2x-9
y=-2x+3
Answers
9514 1404 393
Answer:
(x, y) = (-6, 15) and (2, -1)
Step-by-step explanation:
You can start by subtracting the second equation from the first.
(y) -(y) = (x^2 +2x -9) -(-2x +3)
0 = x^2 +4x -12 . . . . . . collect terms
0 = (x +6)(x -2) . . . . . . . factor
Solutions for x are -6 and +2. These values make the factors zero.
The corresponding solutions for y are ...
y = -2(-6) +3 = 15
y = -2(2) +3 = -1
Solutions to the system of equations are ...
(x, y) = (-6, 15) and (2, -1)
PLEASE HURRY!! (No links)
Solve the inequality
−2 (k − 5) < −2k + 2
Answers
Answer: simplify 0<-8 no solution
Step-by-step explanation:
tal) In a survey of 185 college students, they were asked whether they have dogs, cats,
or birds as pets:
90 have dogs,
68 have cats,
8 have birds only,
15 have both cats and dogs only,
20 have both birds and dogs,
12 have both cats and birds, and
7 students have all three animals as pets
a). Draw a Venn diagram to represent the given information.
b). How many students have cats only?
c). What proportion of the students have exactly one type of animal as pets?
Answers
9514 1404 393
Answer:
a) see attached
b) 41
c) 56.2%
Step-by-step explanation:
a) We have drawn three circles, labeled D, C, B representing students who have dogs, cats, and birds, respectively. Based on the given information we can fill numbers in for all three animals (7), cats and dogs only (15), and birds only (8).
Then we can fill in cats and birds only by subtracting the number with all three. That will be 12 -7 = 5. Birds and dogs only is similarly filled by subtracting all three to get 20 -7 = 13 birds and dogs only.
Dogs only is found by subtracting the numbers in multiple categories from the total number of dogs: 90 -13 -7 -15 = 55. Cats only is found the same way: 68 -5 -7 -15 = 41.
The completed diagram is shown in the attachment. (We haven't figured the quantity for "none.")
__
b) 41 students have cats only
__
c) The total number with dogs only, cats only, or birds only is ...
55 +41 +8 = 104
Of the 185 total students, that is 104/185 ≈ 56.2%.
56.2% of students have exactly one type of animal as a pet.
SIMPLIFIED POLYNOMIALS. Combine all the similar terms of each polynomial
1. 4x + 2x - 3x
2. 10xy + 4y - 8xy + 9y
3. 6x2 + y - 8x2 + 2 + 3y
4. 14a3 - a2 + 3a2 - 16a3 + a2
5. -5pq2 + 3pq2 - p2q + pq2 - 7p2q
Answers
Answer:
1. 3x
2. 2xy+13y
3. -2x^2+4y+2
4. -2a^3+3a^2
5. -2pq^2-7p^2q
An adult elephant eats about 300 pounds of food each day. Write an
expression to represent the number of pounds of food a herd of
12 elephants eat in/5 days.
Answers
Answer:
18000
Step-by-step explanation:
you multiply 12 by 300 which is 3600 then you would multiply by 5 and its 18000.
Original price of a bicycle $1,600.00 Discount 35.3% Tax 1%? Find the selling price of each item ???
Answers
Subtract the discount ($564.80) from the price then add the tax ($16).
Need all of these answered please
Answers
alternate entireror angles are congurent by this rule you can find your answer by solving the equation
On a very hot summer day, 5% of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism. Assuming a binomial distribution, what is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent
Answers
Answer:
Answer:
60
Step-by-step explanation:
Given : On a very hot summer day, 5 percent of the production employees at Midland States Steel are absent from work. The production employees are randomly selected for a special in-depth study on absenteeism.
To find : What is the probability of randomly selecting 10 production employees on a hot summer day and finding that none of them are absent?
Find the coordinates of the vertex of the following parabola using graphing technology. Write your answer as an (x, y) point.
y= -x^2-10x-22
Answers
Answer:
vertex: (-5, 3)
Step-by-step explanation:
Besides providing the graph of the given quadratic equation, I will also demonstrate the algebraic method of solving for the vertex of a parabola.
Method 1: Algebraic SolutionGiven the quadratic equation, y = -x² - 10x - 22, where:
a = -1, b = -10, and c = -22.
Find the x-coordinate of the vertex:In order to find the vertex of the given equation, use the following formula to find the x-coordinate of the vertex: [tex]x = \frac{-b}{2a}[/tex].
[tex]x = \frac{-b}{2a}[/tex]
[tex]x = \frac{-(-10)}{2(-1)}[/tex]
[tex]x = \frac{10}{-2}[/tex]
x = -5
The x-coordinate of the vertex is: x = 5.
Find the y-coordinate of the vertex:Next, substitute the value of the x-coordinate into the given quadratic equation to find its corresponding y-coordinate:
y = -x² - 10x - 22
y = -(-5)² - 10(-5) - 22
y = -25 + 50 - 22
y = 3
Therefore, the vertex of the given parabola is: (-5, 3), where it is the maximum point.
One of the attachments is the screenshot of the graphed quadratic equation (using Desmos), where it shows the vertex as the maximum point.
Method 2: Graphing CalculatorIf you have a graphing calculator (such as the Texas Instruments graphing calculator):
Press Y=Then, simply enter the given quadratic equation, -x² - 10x - 22.Next, press 2ND ⇒ Quit. Press the GRAPH button. Press 2ND ⇒ TRACE Select option 4: maximumIt will ask for the "Left Bound?": move the cursor as close to the maximum point as possiblePress ENTER. Next, it will ask for the "RightBound?" Repeat the same process as in step #7. Press ENTER.It will ask for "Guess?" ⇒ press ENTER, and it will provide the same coordinates for the vertex, (-5, 3).Please let me know if you have any questions or concerns regarding this post.
Please help Fraction yes or no
Answers
Answer:
Hmm I would say maybe yes
Step-by-step explanation:
My number has 3 digits. The sum of the digits is 15. The digits are all different odd numbers. If divided by 0.25 the answer is a whole number. The number is greater than 3 and less than 4.
Answers
Answer:
3.75
Step-by-step explanation:
trust me
so, she was making $9/hr, then she's da bomb so she got a raise of 150%.
making 150% over that amount means more than that amount, so her raise was 150%, congrats to Maria.
if we take 9 to be the 100%, then adding 150% to that will be 100% + 150% = 250%.
Answers
Only answer this if you know the answer.
Find The nth Term of this number sequence
18, 16, 14, 12
Answers
Answer:
2
Step-by-step explanation:
18,16,14,12,10,8,6,4,2
Annswer:
2
Life Pre-intermediate - Unit 3
MULTIPLE CHOICES: Choose the correct option (a-c).
1. It's not far to the town centre and it's quicker if you go ____ foot.
A. on B. by C. with
2. We are moving our furniture ____ lorry.
A. by B. with C. on
3. Which ____ does the train to Norwich leave from?
A. platform B. gate C. stop
4. For the History museum ____ the bus at the next stop.
A. drop off B. get off C. check in
5. I can't park at the bus station but I can ____ outside when you arrive.
A. get you off B. drop you off C. pick you up
6. The bus ____ is more expensive now than it was the last time I was here.
A. price B. fare C. cost
7. Excuse me, does the ticket machine give ____?
A. price B. fare C. change
8. There is a taxi ____ right outside the train station.
A. station B. stop C. rank
9. What time do you want me to pick you ____ from the station?
A. by B. off C. up
10. We have to ____ at the airport two hours before the plane leaves.
A. check in B. get on C. book
Answers
Answer:
1.A
2.B
3.C
4.B
5.B
6.B
7.C
8.C
9.C
10.A
It's not far to the town centre and it's quicker if you go on foot. We are moving our furniture with lorry. Which stop does the train to Norwich leave from? For the History museum get off the bus at the next stop. I can't park at the bus station but I can drop you off outside when you arrive.
What is a History museum?Museums and galleries generally provide insight into human history. The lessons we may learn from historical occurrences, wonders, and tragedies are inestimably important, even though no museum claims to provide a complete picture. This is especially true when things are tumultuous.
In the interest of society, a museum investigates, gathers, conserves, interprets, and presents both tangible and intangible history. Through accessibility, inclusivity, and public accessibility, museums promote diversity and sustainability.
Thus, The bus fare is more expensive now than it was the last time I was here. Excuse me, does the ticket machine give change? Excuse me, does the ticket machine give change? There is a taxi rank right outside the train station. What time do you want me to pick you up from the station? We have to check in at the airport two hours before the plane leaves.
For more information about History museum, click here:
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Given m\parallel nm∥n, find the value of x. n m (8x+19)° 59°
Answers
Please help if you can I'll even give you a brainiest answer.
Answers
How I god the answer- to find the outline, add 2+2+16+17+17= 54. Then take the 54 and divide by 8= 6.75. Then multiply 6.75x1.50= $10.12
expand and simplify
(y – 2) (+1) (y+3)
Answers
Answer:
y² + y - 6
Step-by-step explanation:
(y - 2)(+ 1)(y + 3) simplifies to
(y - 2)(y + 3)
Each term in the second factor is multiplied by each term in the first factor, that is
y(y + 3) - 2(y + 3) ← distribute parenthesis
= y² + 3y - 2y - 6 ← collect like terms
= y² + y - 6
Solve the system, or show that it has no solution.
10x + 4y = 14
15x + 6y = 21
Answers
Answer:
Step-by-step explanation:
(6)10x + 4y = 14(6)
4(15x + 6y) = 21(4)
60x + 24y = 84
60x + 24y = 84
It has infinite, as if this were to be graphed the lines would overlap.
Evaluate - 2c + d for c = -9 and d = 4.
Please help.
Answers
Answer:
-14
Step-by-step explanation:
2c + d
We are given the values of c and d:
c = -9
d = 4
We substitute in these values
2(-9) + 4 = ?
2 times -9 is -18
-18 + 4 = -14
2c + d = -14
In the equation y ≈7x-9,if x≥2, then what is the value of y?
Answers
Answer:
y[tex]\geq[/tex]5
Step-by-step explanation:
7(2)-9
14-9
5
y[tex]\geq[/tex]5
picture of complex number system.....
Answers
Answer:
is this ok 4 uh?
hope it helps
can someone PLEASE construct these 2 for me!
Answers
A $600 fax machine is on sale for 20% off. Find the amount of the discount and the sale price.
The amount of discount is $0.
The sale price is $0
Answers
Answer:
The amount of discount is $120
The sale price is $480
Step-by-step explanation:
The amount of discount = Original price × the Percentage off
The amount of discount = $600 × 20 %
The amount of discount = $600 × .20
The amount of discount = $120
The sale price = Original price - Discount
The sale price = $600 - $120
The sale price = $480
which has one solution:
2x + 2y = 180
0.1x + 7y = 78
Answers
If 6 cm represents 2100 meters, how much actual distance does each 1 cm represent?
Answers
Answer:
1 cm = 350 meters
Step-by-step explanation:
2100/6 = 350
which is the graph of y -3 equals -2/3 (x + 6)
NO LINKS
Answers
Step-by-step explanation:
This is point-slope form:
[tex]y-y1=m(x-x1)[/tex]
in this case:
[tex]y-3=-\frac{2}{3} (x+6)[/tex]
Looking at the structure of point slope form up top, you can find the slope and one point.
[tex]m=-\frac{2}{3} \\x1=-6\\y1=3\\(-6,3)[/tex]
Now, just find the graph with a slope of [tex]-\frac{2}{3}[/tex] that passes through (-6, 3). It's hard to see on the image, but that looks like the top left.
By the way, what's the "no links" thing about? I just came back to this site after a year away
The average of 5 consecutive whole numbers is 2021. What is the average of the first 3 of these numbers?
Answers
Answer:
2020
Step-by-step explanation:
if it is 5 consecutive numbers, it means it needs to be 2019, 2020, 2021, 2022, 2023
it is the number in the middle.
for the first 3 numbers, it is 2019, 2020, 2021
the middle number is 2020
The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020.
What is mean?The mean is the average of a data set. Mean gives us an idea of that how much amount of overall data have.
In other words, the mean is the foundation of the deviation of data from all data sets.
Let's say the first integer is x.
Then, next terms will be x + 1, x + 2, x + 3, x + 4.
It is known that,
Mean = sum of data / Number of data
(x + x + 1 + x + 2 + x + 3 + x + 4)/5 = 2021
(5x + 10)/5 = 2021
x + 2 = 2021
x = 2019
Now, first, three consecutive integers will be,
2019,2020 and 2021
The mean of the above integers will be,
(2019 + 2020 + 2021)/3 = 2020
Hence "The mean or average of the consecutive first 3 numbers such that the average of 5 consecutive whole numbers is 2021 will be 2020".
For more about the mean,
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