Answers
Answer:
The equation of the parallel line is y = 5x + 11
Step-by-step explanation:
→ Parallel lines have same slopes and different y-intercepts
→ The slope-intercept form of the linear equation is y = m x + b, where
m is the slopeb is the y-interceptIn our question
∵ The equation of the given line is y = 5x + 2
→ Compare it with the form above to find its slope
∴ m = 5
∵ The two lines are parallel
∴ Their slopes are equal
∴ The slope of the parallel line is 5
→ Substitute it in the form of the equation above
∴ y = 5x + b
→ To find the value of b substitute x and y in the equation by the
coordinates of any point on the line
∵ The line passes through point (-2, 1)
∴ x = -2 and y = 1
∵ 1 = 5(-2) + b
∴ 1 = -10 + b
→ Add 10 to both sides
∴ 1 + 10 = -10 + 10 + b
∴ 11 = b
→ Substitute value of b in the equation
∴ y = 5x + 11
∴ The equation of the parallel line is y = 5x + 11
Related Questions
what is the image of(8,12) after a dilation by a scale factor of 1/4 centered at the origin?
Answers
The image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
What is dilation?Dilation is the process of increasing the size of an object while maintaining its shape. Depending on the scale factor, the object's size can be increased or decreased. The scale factor is defined as the proportion of the new image's size to that of the previous image. decision-making.
Given that the image of (8,12) after dilation by a scale factor of 1/4 centered at the origin.
The image of the dilated point will be:-
x : - 8 ⇒ 8 / 4 = 2
y : - 12 ⇒ 12 / 4 = 3
Therefore, the image of 8,12 after dilation by a scale factor of 1/4 will be 2,3.
To know more about dilation follow
https://brainly.com/question/3457976
#SPJ2
Jack bought 5.94 pounds of beef for dinner. What is the first step in rounding this number to the nearest tenth? What is the next step? What is 5.94 rounded to the nearest tenth?
Answers
Answer: 5.9
9.94 rounded to the nearest tenth is 5.9
Plz mark brainliest:)
6 = m - 16
a) m = 20
b) m = 24
c) m = 22
d) m = 21
Answers
Answer:
c
Step-by-step explanation:
Students at the college are allowed to work on campus
no more than 20 hours per week. The jobs that are
available pay different rates, starting from $8.75 an hour.
Students can earn a maximum of $320 per week.
Write at least two inequalities that could represent the
constraints in this situation.
Answers
Answer: theres a website called weegy did you try that?
I don’t understand please help
Answers
Answer:
yes it is i think don't sew meh if im wrong
Step-by-step explanation:
HELP ME PLZZ I CANT FAIL THIS, SO PLZZ HELP ME !!!
Answers
Answer:
C i think
Step-by-step explanation:
You always put the numerator as what you are splitting or dividing the denominators number hope you understand what im trying to say
What’s the correct mathematical expression for 2 groups of z
Answers
Answer:
2z = 2 groups of z
HAVING BAD DAY
Stanley practices his running, swimming and biking every day. During these practices he runs at 9 mph, bikes at 16 mph and swims at 2.5 mph. Yesterday he ran for half an hour longer than he swam, and his biking time was twice his running time. How long did Stanley run, swim, and bike yesterday if the total distance he covered was 64 miles?
In terms of t, how long did Stanley bike yesterday?
Answers
Answer:
16
Step-by-step explanation:
(2(t3+0.5))=16(2t3+t1)
Answer:
1+2*t
Step-by-step explanation:
I checked it and it seemed right. I think it is. Test it and tell me if wrong. if it is wrong I WILL EDIT THIS
Ethan builds two different kinds of chairs, rockers and swivels. It takes him 3 hours to build a rocker and requires 2 oz of stain. It takes him 2 hours to build a swivel chair and requires 8 oz of stain. Ethan has 56 oz of stain available and he can only work up to 24 hours. He makes $12 profit on each rocker and $10 profit on each swivel chair. 1. Since there cannot be negative chairs, create two constraints to represent this. 2.Create a constraint for the hours it takes to build the chairs. 3. Create a constraint for the stain it takes for the chairs. PLEASE HELP
Answers
Answer:
(1) [tex]x\geq 0\; \text {and}\;y\geq 0[/tex]
(2) [tex]3x + 2y\leq[/tex] 24
(3) [tex]x+4y\leq 28[/tex]
Step-by-step explanation:
Let x and y be the numbers of rockers and swivels made by Ethan.
(1) Since the number of chairs can't be negative. So,
x\geq0 and y\geq 0 are the two constraints.
(2) He can work a maximum of 24 hours.
The time required to make 1 rocker chair and 1 swivels chair are 3 hr and 2 hr respectively.
So, the time required to make x rocker chair = 3x hr
and the time required to make y swivel chair = 2y hr.
The total time required is 3x + 2y hr which can't be more than the available time, 24 hr.
So, the required constraint is
[tex]3x + 2y\leq 24[/tex]
(3) Similarly,
As 1 rocker chair requires 2 oz strain and 1 swivel chair required 8 ox strain.
So, to make x rocker chair 2x oz required and make y swivel chair 8y oz required which can't be more than the available oz, 56.
So, the required constraint is
[tex]2x + 8y\leq 56[/tex]
[tex]\Rightarrow x+4y\leq 28.[/tex]
so like i really need some help
Answers
Answer:
B: distinct parallel lines
Step-by-step explanation:
Solve the equation 5x+9=4.
Answers
Pls mark brainliest
Answer: x=−1
Step-by-step explanation: hope this helps!
¡¡ANSWER MY QUESTION FIRST¡¡
Can you help me with these questions, please?
Answers
Answer:
∠5 = 70°
∠8 = 130°
Step-by-step explanation:
Since ∠5 and ∠1 are equal they will both equal 70°
Since ∠6 and ∠8 are also equal they will both equal 130°
Hope this helps
Plz mark brainliest
15 POINTS!!!HELP!! JUST TELL ME THE FORMULA I NEED TO USE !!!
Answers
Answer: No.
Step-by-step explanation: It's obviously a quiz of some sort. If it's not, then why would it be timed? Please don't do this :(
The double number line shows the approximate number of ounces in a certain number of pounds:
Based on the number line, about how many ounces are there in 10 pounds?
Group of answer choices
144 ounces
160 ounces
176 ounces
192 ounces
Answers
Answer:
B- 160
Step-by-Step Explanation:
I did it before and I was rite, so trust me
Answer:
B 160
Step-by-step explanation:
A jewelry artist is selling necklaces at an art fair. It costs $200 to rent a booth at the fair. The cost of materials for each necklace is $4.50. The artist is selling the necklaces at $20 each. The jewelry artist wants to make at least a profit of $300. Write an inequality that represents the situation. Make sure to write down the given information from the problem and represent your variables. Show all of your work. B). Find a possible solution for the inequality. Show all of your work and check your answer to make sure that it makes the inequality true.
Answers
Answer:
32.25 necklacesStep-by-step explanation:
Given that the expected profit upon deduction of booth rent and material cost is at least $300
Given
let the number of necklaces be x
booth rent= $200
The cost of materials for the necklaces = $4.5x
the selling price for all the necklaces =$20x
total expenses= booth rent+cost of material = 200+4.5x
profit = selling price -total expenses
20x-300>200+4.5x+
B. the possible solution is the value of x i.e the number of necklaces to
be sold to make a profit of $300
20x-300>200+4.5x
20x-4.5x=200+300
15.5x=500
x=500/15.5
x=32.25
The Jewelry artist must have to sell a total of approximately 32.25 necklaces
L.B. Johnson Middle School held a track and field event during the school year. The chess club sold various drink and snack items for the participants and the audience. All together, they sold items 486that totaled .$2,673a.If the chess club sold each item for the same price, calculate the price of each item.
Answers
Answer:
$5.50
Step-by-step explanation:
L.B Johnson middle school held a track and field event
The chess club sold different drinks and snack item for both the audience and participants
They sold 486 items at a total of $2,673
Therefore the price of each item can be calculated as follows
= 2673/486
= 5.50
Hence the price of each item is $5.50
Which choice best represents the sum of (5 + 8x - 3) and (9x - 6)
17x +-4
17x + 4
x + 14
x+ - 14
Answers
Answer:
17x−4
Step-by-step explanation:
Let's simplify step-by-step.
5+8x−3+9x−6
=5+8x+−3+9x+−6
Combine Like Terms:
=5+8x+−3+9x+−6
=(8x+9x)+(5+−3+−6)
=17x+−4
please help. i will mark brainleast
Answers
Answer:
9 is the answer.
Both negative signs cancel eachother, so you just have 45/5.
Step-by-step explanation:
Good luck! <3
The number of animals at the is shown in the table. Write a ratio to represent giraffes to otters.
Answers
Answer:
The ratio of giraffes to otters is 8:16. If simplified it's 1:2
Step-by-step explanation:
Rodrigo can carpet a house in twelve hours, working by himself. DaShawn can carpet the same house in ten hours . Working together, how long would it take Rodrigo and DaShawn to carpet the house
Answers
Answer:
I would say 2 hours but im not sure tbh.
Step-by-step explanation:
For the percent 58%, (a) write a decimal and (b) write a fraction in lowest terms.
Answers
Answer:
A) 0.58
B) 58/100
Step-by-step explanation:
Can i have brainliest if its right :)
There exists a similarity transformation that maps ABC to A'B'C. The measure of the measure of
Answers
Answer:
Step-by-step explanation: For any triangle, the angles add to 180 degrees
A+B+C = 180
68+46+C = 180
114+C = 180
C+114 = 180
C+114-114 = 180-114
C = 66
Angle C is 66 degrees
Angle C' is 66 degrees
The triangles ABC and A'B'C' are similar, so angle C = angle C'
If side a = 3 and b = 4 what is the length of leg c in a right triangle using the
pythagorean theorem?
Answers
Answer: 5
Step-by-step explanation: Leg A + Leg B= Leg C
9+16=25 the square of 25 is 5
Answer:
5 = c
Step-by-step explanation:
pythagorean theorem is simply a^2 + b^2 = c^2
so a=3 and b=4 so we plug them in
3^2 + 4^2 = c^2
which is
9 + 16 = c^2
so
25 = c^2
then we take the square root for the answer!!
sqrt(25) = sqrt(c^2)
5 = c
HELP!! please explain how you got the answer too.
Determine whether cach point lies on the graph of the line y = 4.6x -7.
H(0, -7)
Answers
Answer:
Point H does lie on the graph y = 4.6x - 7
Step-by-step explanation:
Step 1: Define
y = 4.6x - 7
H(0, -7)
Step 2: Substitute, Evaluate, and Check
-7 = 4.6(0) - 7
-7 = 0 - 7
-7 = -7
Answer:
H(0,-7) does lie on the graph of line y = 4.6x - 7
Step-by-step explanation:
All you have to do is simply plug in the x and y values.
From the point H (0,-7) we can say that
x = 0
y = -7
Now just plug it into the equation.
y = 4.6x - 7
(-7) = 4.6(0) - 7
-7 = -7
Since -7 does equal -7, the point H is on the line of y = 4.6x - 7.
Please just do whatever you can
Answers
6. -62/289 or -0.249135
Explanation:
8/17x-3/5=-24/85x15/17= -62/289
The exact same experiment was conducted 16 times. How many times
should the results have been similar for them to be valid?
A. 8
B. 10
C. 7
D. 16
Answers
22+54=y+16 whats the answer
Answers
Answer:
y=60 or 60=y
Step-by-step explanation:
22+54= 76
76=y+16
60=y or the other way around
A restaurant coffee pot holds 3 gallons of coffee. The pot has been filled with 2 gallons of coffee. If the variable c stands for the amount of additional coffee the pot can hold, which of the following units could apply to that variable?
A. yards
B. pounds
C. gallons
D. bushels
Answers
C
Because your weight system is gallons in the rest of the question :)
Answer:
gallons
Step-by-step explanation:
Apply a 90 degree rotation to the point (1, 2)
Answers
Answer:
(-1,2)
Step-by-step explanation:
90 degree rotation from (a,b) is (-a,b)
Which one of these is NOT an Irrational Number?
a. 10,000,000
b. 17
C. 37
d. 12
Answers
Answer:
37 is not an irrational number
Step-by-step explanation: