The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.
For finding the equation of a line parallel to the given line and passing through the point (1, 1), we need to determine the slope of the given line and use it to construct the equation.
The given line has the equation 2x + 4y = 1. To determine its slope, we can rewrite the equation in slope-intercept form (y = mx + b), where m represents the slope. Rearranging the equation, we have:
4y = -2x + 1
y = (-2/4)x + (1/4)
y = (-1/2)x + 1/4
Comparing this equation to the slope-intercept form (y = mx + b), we can see that the slope of the given line is -1/2.
The line we're trying to find is parallel to this line, it will also have a slope of -1/2. We can now use the point-slope form of a line to construct the equation. The point-slope form is given by:
y - y₁ = m(x - x₁)where (x₁, y₁) represents the coordinates of the point through which the line passes, and m is the slope.
Substituting the values of (x₁, y₁) = (1, 1) and m = -1/2 into the point-slope form, we get:
y - 1 = (-1/2)(x - 1)
Expanding and simplifying the equation:
y - 1 = (-1/2)x + 1/2
y = (-1/2)x + 1/2 + 1
y = (-1/2)x + 3/2
The equation of the line parallel to 2x + 4y = 1 and passing through the point (1, 1) is y = (-1/2)x + 3/2.
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soup is 3 cans for $0.82, so each can of soup is $0.2733. how much does it cost for each one?
Help due today asap Plaese help
Answer:
A
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
got it right on the test
Which graph represents an exponential function?
The table shows Kayden’s quiz scores for a semester. Consider this is the whole set of quizzes. Consider that Kayden took all the possible quizzes for the semester. What are the mean and the standard deviation, rounded to the nearest hundredth, for the quiz data?
Calculate the Margin of error, and give the 95% confidence range.
X
45
48
42
47
43
Mean=
Standard Deviation =
Answer:
huh what do you mean
Step-by-step explanation:
im really sorry
write the inequality shown -4x+y=-3
The inequality corresponding to the equation -4x + y = -3 is either y > 4x - 3 or y < 4x - 3, depending on the relationship between 4x - 3 and 0.
To write the inequality represented by the equation -4x + y = -3, we first need to manipulate the equation to express y in terms of x.
Starting with -4x + y = -3, we isolate y by adding 4x to both sides:
y = 4x - 3
Now we have y expressed in terms of x. To form the inequality, we consider the relationship between x and y. The inequality depends on whether the expression 4x - 3 is greater than or less than 0.
If 4x - 3 is greater than 0, then y is greater than 0, and we can write the inequality as:
y > 4x - 3
If 4x - 3 is less than 0, then y is less than 0, and we can write the inequality as:
y < 4x - 3
The inequality represents a region in the coordinate plane where the y-values are either greater than or less than the expression 4x - 3, depending on the direction of the inequality sign.
For example, if we choose a point (x, y) in the region above the line y = 4x - 3, where y is greater than 4x - 3, the inequality y > 4x - 3 will hold true. On the other hand, if we choose a point below the line, where y is less than 4x - 3, the inequality y < 4x - 3 will be satisfied.
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How many solutions can be found for the equation 5x + 3(x − 1) = 10x − 2x − 3?
Answer: Infinite many solutions
Step-by-step explanation:
Given
5x+3(x-1)=10x-2x-3
Expand Parenthesis
5x+3x-3=10x-2x-3
Combine like terms
8x-3=8x-3
Subtract 8x on both sides
8x-3-8x=8x-3-8x
-3=-3
Add 3 on both sides
-3+3=-3+3
0=0
Any number will work on both sides, therefore, there are infinite solutions
Hope this helps!!: )
Please let me know if you have any questions.
Which graph shows the solutions to the inequality? Please help ASAP!
Answer:
A1/A2=b1/b2 is not equal to C1/c2
One angle of a right triangle measures 75º. What is the measure of the other acute angle?
What is the value of | -5 | ?
Answer:
if u mean absolute value it is 5.
the value is always positive an dmeans how far is it from the numberline
Step-by-step explanation:
The difference is 6?
Answer:
i dont know
Step-by-step explanation:
there is no questions
A large clock in a town square has a minute hand that is 10 feet long. Which value is the best estimate of
how many degrees the minute hand moves from 4:00 - 4:40?
Answer: 240 degrees
Step-by-step explanation: minute hand makes 360 degree circle in hour.
There is no influence for the length of hand in this case.
40 minutes is 2/3 hours. 2/3 ·360 degrees
Five less than twice the sum of a number n and twelve
please help me out on this..............
Answer:
Option #2: 32 ÷2
Step-by-step explanation:
Take Note: There are 2 cups in a pint.
Since we are converting cups TO pints.... the number should (logically) be smaller. That eliminates the last two options.
Referring back to our note, it is only sensible to eliminate the first option since there are only 2 cups per pint, NOT 4.
In the end, you should have gotten option 2 which is 32÷2.
110% into simple fraction form
Answer:
11/10 or 1 1/10
Step-by-step explanation:
110%=110/100
Now let's simplify 110/100:
11/10
Hope this helped! :)
Answer:
1 1/10
Step-by-step explanation:
Hope this helps and have a great day!!!!
HELPP QUICKK PLEASSEEE
Answer:
Questions are blur can you post a much clearer one?
PLEASE HELP!!! Area of trapezoids and triangles
Answer: 54 square inches and 18 square inches
Explanation:
The formula for the area of a trapezoid is the sum of the top and bottom bases divided by 2, multiplied by the height.
In the first picture the bases are 6 and 12, and the height is 6, so the formula would look like this:
[tex]\frac{6+12}{2} *6[/tex]
=[tex]\frac{18}{2} *6[/tex]
=[tex]9*6[/tex]
=54
54 [tex]in.^{2}[/tex] is the answer to the first problem.
Following the same method, we can do the next problem the same way:
[tex]\frac{4+8}{2} *3[/tex]
=[tex]\frac{12}{2} *3[/tex]
=[tex]6*3[/tex]
=18
18 [tex]in.^{2}[/tex] is the answer to the second problem.
What is the value of 3 1⁄4 increased by 2 1⁄6?
13. Jessica has taken 8 quizzes. The mean of her scores is 92. Her first 6 scores are shown.
96, 90, 88, 92, 94, 90
If Jessica got the highest score possible on her seventh quiz, what score did she get on her
eighth quiz? What would be her median score Show your work and explain your reasoning.
Answer: Median= 91; 8th quiz score=86
Step-by-step explanation: The sum of the scores is 8×92=736. Subtract the 6 given scores and then a 100 for the seventh quiz to find the score she got on the 8th quiz, this is an 86. Now that you have all the scores, arrange them all in the least to greatest order and find the average of the middle two numbers (median), which is 91!
Find the range of the following data set. 451, 376, 380, 470, 546, 481
Answer:
170.
Step-by-step explanation:
jus did it
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Which value of x makes the equation 9=34x true?
Select one:
x = 12
x=814
x = 6
x=634
40 POINTS !! 40 POINTS !!
PLEASE HELP , DONT SKIP !
NO LINKS OR FILES.
Answer:
2 potatoes
Step-by-step explanation:
10 ×1/5 =2×1=2
Step-by-step explanation:
Answer:
25
Step-by-step explanation:
You may remember that the perimeter of a rectangle is P=2(W+L) where W is the width and L is the length. Suppose that the perimeter of a rectangle is 44 feet, and the length is 8 feet more than the width. Find the width of the rectangle, in feet.
Answer:
44=2[(w+8)+w]
44=4w+16
28=4w
w=28/4
w=7feet
Speed equals distance multiplied by time. *
A: True
B: False
Which is a true statement based on the box plots below?
I WILL GIVE BRAINELY BECAUSE I NEED THIS DONE FAST BY TODAY
Question:
Which is a true statement based on the box plots below?
Answer:
It is C because the interquartile range is larger than the other one.
Hope This Helps :)
which equation has the solutions x equals 1 plus or minus the square root of 5
Answer:
d. x2 – 2x – 4 = 0
Step-by-step explanation:
PLESE HELP WILL MARK BRIANLIEST
Answer:
1. a=-9 b=13 c=-1
2. a=1 b=1 c=-11
What is the value of y=8−3x when x=5?
When x=5, y=
Answer:
-7 will be the answer.
Step-by-step explanation:
By Putting the value of x, we get:
y=8-3x
y=8-3(5)
y=8-15
y= -7
Please can someone help me thank you
Answer:
(a) Rome= 11 degrees
Munich= 5 degrees
Difference = 11-5 = 6 degrees
(b)
Oslo= 2 degrees
At 6pm= 2+5= 7 degrees
Find the perimeter of the parallelogram shown.
7 yd
8 yd
5 yd
.
A26 yd
Answer:
It will be half of the original size.
HOPE I HELPED!
GIVE BRAINLIEST PLEASE!
Step-by-step explanation:
In order to play on the 7th-grade basketball team, you must buy a team uniform. Last year a uniform cost $40, but this year a uniform cost $48. What is the percent of change?
-IMPORTANT-
show work please and thanks
Answer:
1/6 or 16.666%
Step-by-step explanation:
8/48 and there is your answer.