Write the equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 and graph
Answers
Answer:
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is: y=-x+3
Step-by-step explanation:
Given equation of line is:
[tex]y = x+2[/tex]
Comparing it with the general form of equation of line in slope-intercept form
[tex]y = mx+b[/tex]
The slope of given line is 1 as the co-efficient of x in the equation is 1.
When two lines are perpendicular, the product of their slopes is -1
Let m1 be the slope of new line
Then
[tex]m.m_1 = -1\\1.m_1 = -1\\m_1 = -1[/tex]
The equation of new line perpendicular to given line will be:
[tex]y = m_1x+b[/tex]
Putting the value of m1
[tex]y = -x+b[/tex]
To find the value of b, the given point will be put into the equation
So,
[tex]-1 = -(4)+b\\-1 = -4+b\\-1+4 = b\\b = 3[/tex]
The final equation of line is: y = -x+3
Hence,
The equation in slope-intercept form through the point (4, -1) and is perpendicular to the line y = x + 2 is:
[tex]y = -x+3[/tex]
Graph:(Attached)
The graph is made using the online graphing tool "Desmos". The red line in the graph represents the line y = x+2 and the blue line represents the line (y=-x+3) perpendicular to given line
Related Questions
Theorems about roots of polynomial equations!! I need help!!
Answers
9514 1404 393
Answer:
B (correctly marked)
1/3, 1/2, 4
Step-by-step explanation:
The rational root theorem tells you the rational roots will be of the form:
±(divisor of constant)/(divisor of leading coefficient)
Here, that means they will be of the form ±{1, 2, 4}/{1, 2, 3, 6}.
Right away, you can eliminate choices A and C because there cannot be 9 in the numerator, and the number of possibilities goes beyond just 1, 2, and 4.
Possible rational roots are ...
±1, ±2, ±4, ±1/2, ±1/3, ±1/6, ±2/3, ±4/3
__
I like a graphing calculator for finding the roots of higher-degree polynomials. A graph of this one shows roots to be 1/3, 1/2, and 4.
_____
Descartes' rule of signs tells you there are 0 negative real roots, and 1 or 3 positive real roots. The ratio of the first two coefficients suggests that one of the roots may be relatively large, so it might work to try 4.
((6·4 -29)·4 +21)·4 -4 = (-20 +21)·4 -4 = 0
So, x=4 is a root. Synthetic division (2nd attachment) shows the remaining quadratic factor to be 6x^2 -5x +1. Factoring this*, we have ...
6x^3 -29x^2 +21x -4 = (x -4)(6x^2 -5x +1) = (x -4)(3x -1)(2x -1)
The roots associated with the quadratic factor are 1/3 and 1/2.
The real roots are 1/3, 1/2, and 4.
_____
* To factor ax^2 +bx +c, you look for factors of the product ac that have a sum of b. Here, you're looking for factors of 6·1 = 6 that have a sum of -5.
6 = (-1)(-6) = (-2)(-3) . . . sums are -7 and -5
The numbers we're looking for are -2 and -3. Then the factorization is (6x -2)(6x-3)/6 = (3x -1)(2x -1).
Note that we have identified 'p' and 'q' as the factors of 'ac' that total to 'b'. The factorization is then (ax+p)(ax+q)/a. Here, both factors end up with coefficients of x that are not unity. That is not always the case.
There are other ways to make use of 'p' and 'q'. You can also rewrite the quadratic as ax^2 +px +qx +c, and factor by grouping.
The Pie Arsquare Bakery sold 869 pies during the month of January. What was the mean number of pies sold per day? (Hint: how many days are in January) Round to the nearest tenths.
Answers
Answer:
28
Step-by-step explanation:
divide 869 by the number of days in January
In the equation 6x – 2 = –4x + 2, Spencer claims that the first step is to add 4x to both sides. Jeremiah claims that the first step is to subtract 6x from both sides. Who is correct? Explain. Sample Response: Both are correct. As long as inverse operations and the properties of equality are used properly, both methods will generate the same solution. They both isolate the variable on one side of the equation. What did you include in your response? Check all that apply. Both boys are correct. Both methods correctly use the properties of equality and inverse operations. Both methods isolate the variable on one side of the equals sign.
Answers
Answer:
Correct option is "Both boys are correct".
Step-by-step explanation:
The equation is:
6x - 2 = -4x + 2
Using Spencer's method:6x - 2 + 4x = -4x + 2 + 4x
10x - 2 = 2
10x = 4
x = 0.40
Using Jeremiah's method:6x - 2 - 6x = -4x + 2 - 6x
- 2 = -10x + 2
10x = 4
x = 0.40
Correct option is "Both boys are correct".
Answer Asap Will mark brainlest if it's right.
Answers
Answer:
B........................
Can somebody answer quick please!
Answers
Answer:27/2
Step-by-step explanation: The ratio stays the same. So 4/6 = 9/x. Solve that and get 27/2
Answer: 18 in.
Step-by-step explanation:
Carland Tim start a yard cleaning business, During the first week they
purchased 2 shovels and 2 brooms for $45. They also purchased garbage bags
for $13. Carl cleaned the Kingston's Front and Backyard and Tim cleaned the
Murphys Driveway
Answers
Answer:
They spend = $58
They earned = $35
Step-by-step explanation:
In the diagram, Find the value of y
Answers
Answer:
y = 42
Step-by-step explanation:
we can start by getting teh degree of x
62 + 65 = 127
180 - 127 = 53
x = 53
x - y = 11
we know that 53 is x
53 - y = 11
y = 42
Which ordered pair is in the solution set of x − 4y ≥ 6?
A. (−2, 0.5)
B. (2, 1)
C. (2, −1)
D. (−2, −0.5)
Answers
The class had to identify the divided And divisor for a division problem 56÷7. Which number is the divided ? Which number is the divisor?
Answers
Answer:
56÷7=8
Step-by-step explanation:
answer is 8
Find the value of x for which d ||m.
Answers
Answer:
29
Step-by-step explanation:
Please help, Fake answers = report
Answers
========================================================
Explanation:
Let
A = (-5, -3)B = (-5, 5)C = (4, 5)D = (4, -3)be the labels for buildings 1 through 4 in that order.
You could use the distance formula to calculate the distance between each adjacent point, and then add up those values.
A quicker way is to plot all four points on the same xy grid system. Then simply count the spaces between each point to find that
AB = 8BC = 9CD = 8DA = 9See below for the diagram.
Essentially we have rectangle ABCD with base 9 and height 8
The perimeter of this rectangle is 8+9+8+9 = 34
The problem tells us that 1 unit on the grid represents 100 feet. Since the perimeter was 34, this scales up to 34*100 = 3400 feet that the courier traveled.
This is a little over half a mile since 1 mile = 5280 ft and 3400 ft = 3400/5280 = 0.64 miles approximately.
Two brothers bought together 10 books. One brother bought four books. How
many books did the other brother buy? Create an equation and solve.
Answers
Answer:
The other brother bought 6
Step-by-step explanation:
10 books in total
4 books bought by one brother
10 - 4 = 6
Answer:
2b+4b=10b the other brother bought 6 books.
Since we already know how many the other brother bought, we don't need to find that information.
Step-by-step explanation:
2b+4b=10b
combine like terms and subtract.
6b=10b
=4b
(hope this is correct.)
the weight of 6 eggs is shown. identify the constant of proportionality of total weight to number of eggs. the weight of 6 eggs is 288 g.
Answers
Answer:
The weight of eggs is shown. Identify the constant of proportionality of total weight to number of eggs.
A row of 6 eggs is labeled "The weight of 6 eggs is 270 grams."
The weight of 6 eggs is 270 g.
Step-by-step explanation:
Answer:hi
Step-by-step explanation:
hi
Marco climbed 2 feet down a ladder. He then climbed down
4 more feet. Write a subtraction equation and an equivalent
addition equation to represent this situation. What was the total
change in Marco’s elevation?
Answers
Answer:
well (-2) -4=-6
Step-by-step explanation:
the the elevation he changed in is 6ft goign down
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Marco climbed 2 feet down a ladder. He then climbed down 4 more feet.
The equivalent addition equation to represent this situation will be given as,
⇒ (-2) + (-4)
⇒ - 2 - 4
⇒ - 6
The equivalent addition equation to represent this situation will be negative 6. Then the total change in Marco’s elevation will be negative 6.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
Zoe plants a sunflower seed and
tracks its growth. The seedling
measures 3.71 inches after the
first month. If Zoe’s plant grows
3.71 inches each month for 12
months, how many inches tall will
it be at the end of one year?
Answers
Answer:
44.52 inches
Step-by-step explanation:
If it grows 3.71 inches per month for 12 months, you need to multiply 3.71 by 12, which gives you 44.52.
Please help ASAP!!! I will mark brainliest!
Answers
Format:
{Expression} = {Rewritten} = {Value}
Answer:
3/8 * 24 = 72/8 = 9
5/9 * 18 = 90/9 = 10
11/12 * 36 = 396/12 = 33
How many yards are in 540 inches ?
Answers
Answer:
15
Step-by-step explanation:
Answer:
15
Step-by-step explanation:
google .
divide the length by 36 basically
Find an equation of the line that passes through the points (5,- 4) and (2,-2).
Answers
Answer:
y=-2/3x - 2/3
Step-by-step explanation:
PLEASEEEEEE ANSWEERRRRRRRRR
Sally and Joan were able to dust the house in 3 hours together. It takes
Joan 10 hours to finish the same job alone. Without help, how long
would it take Sally to finish the same job ?
Answers
Answer:14hrs
Step-by-step explanation:joan=10hrs
joan+sally=3hrs
representing joan and sally's time taken in fractions 1/10+-------=1/3
1/3-1/10=7/30
7/30 by 60min(in an hour)
=14hrs
Fill in the blank to complete the equation below. 99 + 33 = 11(?+3)
Answers
Answer:
? = 9
Step-by-step explanation:
you know 99 + 33 = 132 so you can substitute that: 132 = 11 (? + 3). im going to change ? into x for now: 132 = 11 (x + 3). then distribute the 11 so 132 = 11x + 33. then subtract 33 from both sides (99 = 11x) and divide both side by 11 (x = 9) and you get 9!
hope this helps!
At hoffman's bike rentals,it cost $35 to rent a bike for 7 hours .How many hours of bike does the customer get per dollar?please help
Answers
Answer:
your answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Answer
Answer is 5 dollars per hour
Step-by-step explanation:
35/7 = 5
Write the slope intercept form of the equation of each line given the slope and y-intercept. Slope = 0, y-intercept = 5
Answers
Answer:
0+5=5
Step-by-step explanation: If u add nothing then it stays like that
Answer:
5
Explanation:
I'm a goat so I know everything
Find the value of W please help due tomorrow
Answers
Answer:
59 degrees
Step-by-step explanation:
All the angles of a triangle (when combined) result in 180 degrees. This means that:
Angle 1 + angle 2 + angle 3 = 180 degrees.
We can see here that the shape here is a right triangle (noted by the square in the corner). This means that the angle set with the square is equal to 90. With this, we already have two of our angles! All we need is to set the equation using w, the angle you'll want to find:
31 + 90 + w = 180
w = 59
And there you are! Make sure to practice a few more problems like these to really get the hang of it. Good luck!
PLEASE HELP ME ASAP THIS A MODULE TEST PLS PLS PLS
Bianca has a part-time job mowing lawns for her neighbors. The table below shows the amount of money Bianca earned for different numbers of hours of work:
Number of Hours Worked ║Money Earned (dollars)
Bianca's Earnings from Lawn Mowing
4 60
6 90
8 __
105
Part A: What are the missing numbers in the table? Show your work. (4 points)
Part B: Bianca also walks her neighbors' dogs from time to time. The ratio of the number of hours Bianca walks dogs to the money she earns in dollars is 1:8. How much money will Bianca earn by walking dogs for 4 hours, 6 hours, and 8 hours? (3 points)
Part C: How many more dollars does Bianca earn mowing lawns for 5 hours than walking dogs for 5 hours? Show your work. (3 points)
Answers
Answer:1:20, common sense would say 4 to 60, 8 to 90 so we can tell we are adding by 30s therefore number one is 20. 2: 32 for 4 hours, 48 for 6 hours, 64 for 8 hours, so if she works 5 hours mowing lawns she gets 75, and walking dogs for 5 hours would give her 40 so 75-40= 35, Here are all the answers, 1=20. 2=32,48,64. 3=35
Step-by-step explanation:look up
A shopper buys cat food in bags of 3 lbs. Her cat eats 34 lb each week. How many weeks does one bag last?
Multiply your answer in the first question (the number of weeks) by 34.
Answers
idk how to do math
Answers
that's why we have the beautiful internet
Please anybody help
Answers
Answer:
-4 just kidding it is 3
Step-by-step explanation:
Cait went apple picking with 3 friends. The 4 of them picked 17.4 lbs of
apples and want to split it equally. How many lbs of apples do they each
get?
Answers
Answer:
4.35 pounds each gets
Step-by-step explanation:
if you divide 17.4 by 4 you get 4.35 pound per each of the 4 people get
A positive number multiplied by a negative number will result in a
Answers
Answer:
Negative
Step-by-step explanation:
When you multiply a negative number by a positive number then the product is always negative.
Select all points that do not lie on this line.
Answers
its A and B bro. Hope it helps
