What is the equation of the line that is parallel to the
given line and passes through the point (-2, 2)?
O y=1/5x+4
Oy= 1/5x+12/5
O y = -5x + 4
O y=-5x +12/5
Answers
The equation of the parallel line that passes through the point (-2, 2) is y= (1/5) x + (12/5)
What is meant by line's slope?The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run." Choose two points on the line and calculate their coordinates. Determine the difference in y-coordinates between these two points. Determine the difference in x-coordinates between these two points. Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).There are four types of slopes: negative, positive, zero, and undefined. as x grows The slope of a line can also be interpreted as the "average rate of change."Therefore,
The slopes of the two lines will be the same because it runs parallel to the line predicted by the equation.
The slope of the line is 1/5,
We know that the line is y= (1/5) x + c.
We can now find the y-intercept using the given point (-2,2).
[tex]$&\Rightarrow y=m x+c \\[/tex]
[tex]&y^2=\frac{1}{5}(-2)+c \\[/tex]
[tex]&\Rightarrow^2=\frac{-2}{5}+c \\[/tex]
[tex]&\Rightarrow c=2+\frac{2}{5}=\frac{10+2}{5}=\frac{12}{5} \\[/tex]
[tex]&\Rightarrow c=\frac{12}{5}[/tex]
Hence, The line's final equation will be [tex]y=\frac{1}{5} x+\frac{12}{5}[/tex]
To learn more about line's slope, refer to:
https://brainly.com/question/16949303
#SPJ2
Answer:
b) y = 1/5x + 12/5
Step-by-step explanation:
took the test on edge
Related Questions
You can eat no more than 40 slices of pizza each week. If you have
pizza every day, what is the maximum number of slices (s) you can
eat each day? Round your answer to the nearest tenths place.
i have to create a linear equation and solve it
Answers
Answer: 5.7 slices
Step-by-step explanation:
7x=40. x represents number of slices per day, 7 is because you eat pizza every day and there's 7 days in a week.
Divide both sides by 7:
7x/7 = 40/7
x= 5.7
What number of grams is in 17 kilograms
Answers
Answer: 17000
Step-by-step explanation: Multiply the mass value by 1000
According to the rules of significant figures, what is the correct answer to 3.4 x 5
A. 20
B. 17
C. 10
Answers
please can you help
i need it badly
Answers
Answer:
8
Step-by-step explanation:
Factors of 32: 1, 2, 4, 8, 16, 32Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48Factors of 72: 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72The greatest factor listed in all three is 8. Therefore, 8 is the GCF (greatest common factor) of 32, 48, and 72.I hope this helps!
Answer:
8 would be your answer
Mrs. Smith earns $3500 a month. She saves $280 a month. Savings is what percent
of her income?
Answers
Answer:
6 to 8 percent
Step-by-step explanation:
Serena's book collection contains 23 fiction books and 4 non-fiction books part to part or part to whole ratio
Answers
Step-by-step explanation:
that's a part to part ratio
consider the equation 8x+4y=64
where does the graphs intersect the x-axis ?
provide the coordinate point below ( , )
Answers
Please help me out with this!
Answers
The prediction equation y = 5.92x + 119.21 models the median selling price, in thousands of dollars, of new homes in a certain area since 1995. Predict the median selling price in 2015.(Do not separate the numbers
Answers
Answer:
$237.61Step-by-step explanation:
given that the function to predict the price is
y = 5.92x + 119.21
x= the number of year,
given that we are predicting from 1995-2015
the difference is 20years
So put x=20 in the expression we have
y = 5.92(20) + 119.21
y=118.4+119.21
y=237.61
the median price is $237.61
Can someone please help me asappp I’ll mark brainlist !!!
Answers
Answer:
D. y = 76x
Step-by-step explanation:
First you find the gradient, by using the gradient formula
rise over run
380 - 228
---------------- <- division sign
5 - 3
152/2 = 76
Hence y = 76x + c
Find c by subbing points in. I am going to use this as an example (5, 380)
380 = 76(5) + c
380 -380 = c
c = 0
Hence, y = 76x
the quotient of 5 times a number and 7 is equal to 10 what is the number
Answers
What is the value of x in the equation 3x – one-ninthy = 18, when y = 27?
5
7
45
63
Answers
Answer:
the answer is 7 hope this helps
Answer:7
Step-by-step explanation:
if f(x) = -3x - 2; Find f(x)
Answers
x=-1/2
Step-by-step explanation:
if you want explanation let me know?
0=-3x-2
3x=-2
X=-2/3
Choose the correct solution in roster form.
1. S is the set of prime numbers that are less than 15
A.{2,3,5,7,11,13}
B.{2,3,5,7,9,11,13}
C.{1,3,5,7,9,11,13}
D.{1,2,3,4,5,6,7,8,9,10,11,12,13,14,15}
2.write the solution to the inequality in set-builder notation.
9t-4>32
A.{t| t>4}
B.{t| t>6}
C.{t| t>28}
D.{t| t>36}
Answers
Answer:
1)A.{2,3,5,7,11,13}
2) A.{t| t>4}
Step-by-step explanation:
Choose the correct solution in roster form.
1. S is the set of prime numbers that are less than 15
The Definition of a prime number is given as follows:
A prime number can be defined as the number number that can only be divisible of divided by 1 and itself
Hence the list of prime number below 15 is given as:
2, 3, 5, 7, 11 and 13
Hence, option A.{2,3,5,7,11,13} is correct
2. Write the solution to the inequality in set-builder notation.
9t-4>32
Solving for the given inequality
9t > 32 + 4
9t > 36
t >36/9
t > 4
Therefore, the solution to the inequality in set-builder notation is:
Option A.{t| t>4}
#30 Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was
collected. Let x represent the number of tickets sold at the door.
In terms of x. how many tickets were sold in advance?
Answers
Answer:
170 tickets were sold in advance
Step-by-step explanation:
Let x represent the = number of tickets sold at the door.
Let y represent the = number of tickets sold in advance
Tickets to a school play cost $2 if bought in advance and $3 at the door. By selling all 400 tickets, $1,030 was
collected.
Hence, we have two equations
x + y = 400 tickets
$3 × x + $2 × y = $1,030
x + y = 400.... Equation 1
x = 400 - y
3x + 2y = 1030........ Equation 2
Substitute 400 - y for x in Equation 2
3(400 - y) + 2y = 1030
1200 - 3y + 2y = 1030
Collect like terms
-y = 1030 -1200
-y = -170
y = 170
Since y represent the number of tickets sold in advance, therefore, 170 tickets were sold in advance.
On a map, 1 inch equals 6 miles. Two cities are 7.5 inches apart on
the map. What is the actual distance between the cities?
I really need help
Answers
One week, Brooklyn earned $179.30 at her job when she worked for 11 hours. If she is paid the same hourly wage, how many hours would she have to work the next week to earn $244.50?
Answers
Answer:
15 hours
Step-by-step explanation:
By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.
$244.50/$16.30 = 15 hours.
Hope this helps!
Answer:
15 hours
Step-by-step explanation:
By dividing $179.30 by the 11 hours she worked, we know that she makes $16.30 per hour. By using that same wage, we can take her goal earnings of $244.50 and divide it by her wage.
$244.50/$16.30 = 15 hours.
Hope this helps!
Sarah took the advertising department from her company on a round trip to meet with a potential client. Including Sarah a total of 10 people took the trip. She was able to purchase coach tickets for $230 and first class tickets for $1290. She used her total budget for airfare for the trip, which was $7600. How many first class tickets did she buy? How many coach tickets did she buy?
Answers
You can set up a system of equations for this problem. Let x = number of coach tickets and y = number of first class tickets. Then:
330x + 1220y = 12730 (cost of coach tickets plus cost of first class tickets is total budget)
x + y = 17 (number of coach tickets plus number of first class tickets is total number of people)
Solve the second equation for y to get y = 17 - x, then plug that into the first equation and solve for x:
330x + 1220(17 - x) = 12730
330x + 20740 - 1220x = 12730
-890x + 20740 = 12730
-890x = -8010
x = 9
Sarah bought x = 9 coach tickets. Plug that into the second equation and solve for y:
9 + y = 17
y = 8
Sarah bought y = 8 first class tickets.
Evaluate the expression: (16 ÷ 4)3 – 6 The solution is _____.
Answers
Answer:
The answer is 6
Step-by-step explanation:
To solve this expression you use PEMDAS
16÷4=4
4×3=12
12-6=6
Answer:
(16/4)3 - 6 = ?
=> (16 * 3/ 4 * 3) - 6 = ?
=> (48 / 12) - 6 = ?
=> 4 - 6 = ?
=> -2 = ?
Therefore, (16/4)3 - 6 = -2
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
Find the zeros of the function. Enter the solutions from least to greatest.
f(x) = (x+6)^2 - 49
lesser x=
greater x =
Answers
Answer:
Lesser x is -13.
Greater x is 1.
Step-by-step explanation:
We have the function:
[tex]f(x)=(x+6)^2-49[/tex]
And we want to find the zeros of the function.
So, set f(x) to 0 and solve for x:
[tex](x+6)^2-49=0[/tex]
Add 49 to both sides:
[tex](x+6)^2=49[/tex]
Take the square root of both sides. Since we're taking an even root, we will need plus/minus:
[tex]x+6=\pm 7[/tex]
Subtract 6 from both sides:
[tex]x=\pm7-6[/tex]
Evaluate for each case:
Case 1; 7 is positive:
[tex]x=7-6=1[/tex]
Case 2; 7 is negative:
[tex]x=-7-6=-13[/tex]
So, our zeros are:
[tex]\{x|-13, 1\}[/tex]
Our lesser x is -13, and our greater x is 1.
And we're done!
Daniel buys a swing set priced at $788. If the sales tax is 7%, how much tax will Daniel pay? Submit
Answers
Answer:
he will pay 55.16
. Maggie is participating in her school reading challenge. She reads 40 books, 26 of which are fiction. What percent of the books that she read are fiction?
ASAP!!!
Answers
Answer:
65%
Step-by-step explanation:
26/40 x 100= 65%
hope this helps!
Given the equations are x=6 and y=-8 parallel perpendicular or neither
Answers
Hope this helps!
Filo earns $8 per hour, but he buys lunch for $5. How much money does he have left after he works x number of hours a day? Write an equation to model the problem. If Filo works for 6 hours, how much money will he take home that day? Show all work.
Answers
Answer:
8x-5
Step-by-step explanation:
8$ per hour and he works 6 hours gives you 48$. Since he buys lunch, take away 5 from 48 and youll get 43$. Filo will take 43$ home.
EXTRA POINTS* how do you graph a fraction? for example slope= 1/2, y-intercept: -2 how do you graph this
Answers
Answer:
Because of the y intercept, you would first plot a point at (0,2). This means that you would put the point when x does not from the origin (middle of the lines) and 2 points up from it. After, for every 2 points going to the right, you go only 1 up on y. This is because the slope is 1/2. I recommend you watch Khan Academy.
Step-by-step explanation:
0.00581 in scientific notation
Answers
Answer:
5.8 × 10-3
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
HELP PLEASE!!!!! 50 POINTS!!!!!!!!
Which of the following graphs could be the graph of the function f(x)= -0.08x(x^2-11x+18)?
Answers
Answer:
see below
Step-by-step explanation:
f(x)= -0.08x(x^2-11x+18)
Factor
f(x)= -0.08x(x-9)(x-2)
Using the zero product property to find the zeros
0= -0.08x(x-2)(x-9)
-0.8x =0 x-2 =0 x-9 =0
x=0 x=2 x=9
Multiply out
f(x) = -0.08 x^3 + 0.88 x^2 - 1.44 x
The highest power is x^3
f(-∞) = -0.08( -∞)^3 = - ( -∞) = ∞
As x goes to -∞ f(x) goes to +∞
f(∞) = -0.08( ∞)^3 = - ( ∞) = -∞
As x goes to ∞ f(x) goes to -∞
Answer:
Option C or the third graph is the correct choice
Edg 2020
127 39 + 2Y = 4 for y = 3.
Answers
Answer:
use calculator soup. com
Step-by-step explanation:
this will help u
Math minute I need help with all questions I hav 4 minutes
Answers
Answer:
can you he lp me
Step-by-step explanation:
Answer:
1. 0.019
2. 4-28
3. 4
4. 6:00
5. 6
6. 16
7. 7
8. >
9. <
10. >
order 0.0509km , 60.5 m and 5700cm
Answers
Answer: 0.0509km 60.5m 5700cm
Greatest to least
Step-by-step explanation: