Answer:
Step-by-step explanation:
y = -x + 9
y - 1 = -(x - 5)
y - 1 = -x + 5
y = -x + 6
The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
Here,
The point is given as ( 5, 1 ).
The equation of line is parallel to the line x + y = 9.
What is Equation of line?
The general equation of straight line is given as, [tex]y - y_{1} = m ( x-x_{1} )[/tex]
where, m is slope of line and ( x₁ , y₁) is point.
Now,
The equation of line is parallel to the line x + y = 9.
Hence, both line have same slope.
The slope of line x + y = 9 is given as,
⇒ y = -x + 9
compare with equation of line y = mx + c , we have;
Slope = -1
The equation of the line passes through the point ( 5, 1 ) and slope -1 is;
y - 1 = -1 ( x - 5)
y - 1 = -x + 5
y = -x + 6
Hence, The equation of the line that passes through the point ( 5, 1 ) and parallel to the line x + y = 9 is x + y = 6.
Learn more about the Equation of line visit:
https://brainly.in/question/17740820
#SPJ2
In efforts of improving their orofit margins, a company is considering creating their own manufacturing plant for their product. It had a start-up cost of 25,000 to build the plant. This plant will drop the production cost down to $15 per item. If each item sells for $50, then how many items would it take to get an overall profit of $100,000 for the year?
Answer:
To get an overall profit of $100,000, then 3,571 items is needed to be produced
Step-by-step explanation:
Mathematically;
Profit = Revenue - Production cost
In the question, we are told that the profit we are expecting is $100,000
Let the number of items to be produced for sales be x items
Now let’s look at the production cost ;
The production cost will be number of items for sale * production cost = 15 * x = $15x
Now, we need to add the start-up cost to the production cost to get the total amount spent on production;
Mathematically the total amount would be = $25,000 + $15x
Let’s look at the revenue;
The revenue will be selling price of each item * price of each item;
Mathematically, that would be 50 * x = $50x
So therefore;
50x - (25,000 + 15x) = 100,000
50x -25,000 -15x = 100,000
35x = 100,000 + 25,000
35x = 125,000
x = 125,000/35 = 3571.42 which is approximately 3,571 items
Which method can be used to prove that AJKL is congruent to AJML?
SSS
OHL
SAS
ASA
Answer:
it is SAS
Step-by-step explanation:
side angle side
triangle JKL is congruent to triangle JML
because they have two equal sides:
JL whitch is common in both of them and ML equal to KL
and the included angles are equal.
(-5,4) and (1,6)
y-6 =? plz help me
Answer:
(-5,4) and (1,6) are cordanites on a graph 1st square is ++ 2nd is +- 3rd is -- and 4th is -+
Step-by-step explanation:
Jules cut 2.75 inches from a metal rod. The metal rod is now 10.5 inches long. Which equation can be used to find the length of the metal rod before it was cut? Group of answer choices
L = 10.5 + 2.75
What are the answer choices?
Answer:
The solution for the equation 1,056=b+670
Step-by-step explanation:
A system of equations can be written to represent coln and pricing problems. True or False.
O True
O False
Find the square root of the given numbers
1. 114
2. 625
3. 81
4. 729
Answer:
1. +/- 10.67707825
2. +/- 25
3. +/- 81
4. +/- 27
Please help me help me
What is the value of x in the equation
3x - 4y = 65:
when y=4?
Ox=13 1 / 2
x=21 1 / 3
X =23
O
x=27
please answer all these math qestions QUICK DUE IN A HOUR PLEASE HELP !!!!!!!!!!!!!!! 1.A tablet was on sale for 7/8 of the original price. If the original price was $240, what was the sale price?
2.Christian's family went on a road trip. They stopped 9 times for gas. On average, they spent about 8 minutes at the gas station each time they stopped. On their trip, about how much time did they spend stopped for gas?
3.Lisa was late to class 12 times in the month of September. Each time she was late, she missed 3 1/2 minutes of class. How many minutes of class did she miss in the month of September?
4.Alexis hammered a nail into a piece of wood. Each time she hammered the nail, it moved 1/7inch. If she hammered the nail 14 times, how much did the nail move?
5.A 16.2 ounce box of Honey Nut Cheerios costs $4.86. How much did each ounce of the cereal cost, rounded to the nearest cent?
(please help answer all of these please all of these are due today at night ) (all of these are Rational Numbers Word Problems)
Answer:
1, 210.
2. 72 minutes.
3. 42 minutes
4. 2 inches.
5. 3 cents.
Step-by-step explanation:
1. First, divide 240 by 8, which will get you 30, now multiply 30 by 7 and you will get 210 which is your answer.
2. Your keyword here is times. So you know you will multiply. So just multiply 8 and 9, and your product is 72, so 72 minutes.
3. Multiply 3 1/2 by 12, or convert your fraction to a decimal, which in decimal form is 3.50. Your product would be 42.
4. Multiply 1/7 by 14, you should get 14/7, which is an improper fraction. Divide 14 by 7 and you will get 2 inches.
5. So here you have to find the unit rate. Divide the price by the quantity.
4.86/16.2=0.297530865
Round the number up, which would be 3. So it would be 3 cents
Hope this helps :)
Is it a function ?? (please help)
Answer:
No because there are not only 1 y value per x value
10(6 + 4) ÷ (2³.7)² =
Answer:
25/784
Step-by-step explanation:
Help asappp , What is the slope of a line perpendicular to the line whose equation is
3x + 6y = –18. Fully reduced
Answer:
2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x + 6y = - 18 ( subtract 3x from both sides )
6y = - 3x - 18 ( divide all terms by 6 )
y = - [tex]\frac{1}{2}[/tex] x - 3 ← in slope- intercept form
with slope m = - [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{-\frac{1}{2} }[/tex] = 2
Slope of the line perpendicular to given line 3x + 6y = –18 is 2
What is slope intercept form and relation between slopes of two perpendicular lines ?The slope intercept of a line is given : y = m x+ c
y is y coordinate, x is x coordinate, m is the slope of the line
c is y- intercept of the line
If given that the slope of two lines are m₁ and m₂ then these lines are perpendicular, if the product of their slopes is -1 or m₁ *m₂ = -1
Given line is 3x + 6y = –18
Subtract 3x from both sides
⇒ 3x +6y -3x = -3x-18
⇒ 6y = -3x-18
⇒ y =(-3/6)x -18 /6 = (-1/2) x -3
comparing it with slope intercept , slope = -1/2
let the slope of line perpendicular to given line is m
then m.(-1/2) = -1
⇒ m = 2
∴Slope of the line perpendicular to given line is 2
Also, learn more about the slope intercept form from the link below:
brainly.com/question/9682526
#SPJ2
need help on finding the perimeter in feet
Answer:
30 ft
Step-by-step explanation:
7.5 + 12.5 + 10 = 30 ft
. If m∠1 = 50°, find the following: a. m∠2 = ? b. m∠3 = ? c. m∠4 =
Answer: is there a graph
Step-by-step explanation:
Hailey must make at least $200 in sales each week. So far this week, she has already made $60 in sales. How much more does she
need in sales this week (2) in order to meet her goal?
Answer:
140!
Step-by-step explanation:
200 - 60 = 140
What value of x makes this equation true? 2(4x-3) - 8= 4+2x
Answer:
What value of x makes this equation true? 2(4x-3) - 8= 4+2x HERE YOU GO!!
Step-by-step explanation:
We need to eliminate one of the variables to solve the other.
4x+5y = 8
2x-3y = 18
I will multiply the second equation by -2.
-2*(2x-3y = 18)
-4x + 6y = -36 and then add the two equations
4x + 5y = 8
-4x + 6y = -36
+ adding here
11y = -24
y = -24/11
substitute x in one of the equations to find y.
2x-3y=18
2x - (3*-24/11) = 18
2x = 126/11
x = 126/22
(AICE MATH) i need help please
Answer:
How can i help?
Step-by-step explanation:
Help0oejelensb skeidnekendidne helps 10101
Answer:
b = (looks to be) -3.5
m = [tex]\frac{1}{2}[/tex]
Type of Slope = Positive, linear
Equation = y = [tex]\frac{1}{2}[/tex]x - 3.5
Miguel has $30. He spends $6.75 on a movie ticket, $3.65 for snacks, and $2.00 for bus fare each way.
How much money does Miguel have left? please help :}
Answer:
$15.60
Step-by-step explanation:
We can solve this problem easily by adding up Miguel's expenses, and then subtracting them from the amount he started with. Be careful, as he pays $4, not $2, in total for bus fare, because he is paying $2 to and from:
[tex]6.75+3.65+4.00[/tex]
[tex]=14.40[/tex]
Let's subtract our sum, [tex]14.40[/tex], from our total, [tex]30[/tex]:
[tex]30-14.40[/tex]
[tex]=15.60[/tex]
Miguel has $15.60 left.
Find the slope of the line through the given points:
(3, 5) and (-2, 7)
Answer:
slope is -2/5
Step-by-step explanation:
use y2–y1/x2–x1
Answer:
-2/5
Step-by-step explanation:
formula: y2-y1/x2-x1=
7-5/-2-3= -2/5
what is 63 times 4? pls help
Answer:
252
Step-by-step explanation:
Hope this helps
Answer:
252
Step-by-step explanation:
The times for Erin’s five laps around the track were 56.6 seconds, 57.9 seconds, 57.5 seconds, 65.3 seconds, and 65.7 seconds. Using rounding to the nearest whole second as the only estimation technique, what is the total estimated time for Erin’s five laps in seconds?
Answer:
320 if u round the way I did u should get this answer. But please work it out on your own to get the how to do it faster and on your own
Step-by-step explanation:
60+60+60+70+70= 320
Answer: it’s 304.
Step-by-step explanation:
i will give u brainliest!
Answer:
(DOES NOT BELONG) Is Rational
(DOES NOT BELONG) Is not Irrational
(DOES NOT BELONG) Is not an integer
(DOES NOT BELONG) Not a Whole
(DOES NOT BELONG) Not Natural
Step-by-step explanation:
This is a fraction with a square root.
Fractions:
Are Not Whole (square root cancels this)
Are Rational BUT since this has a square root, it is not.
Are not natural
Are not integers (Whole numbers that ARE NOT fractions)
So basically from what I have learned, square root cancels literally everything.
plz help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
x=5
Step-by-step explanation:
7x-5=4x+10
3x-5=10
3x=15
x=5
PLEASE HELP LOTS OF POINTS I HAVE MADE THIS TWO TIMES GOT THE OTHER ONE TO GET 27 POINTS!
The sequence that proves shape I is similar to shape II when applied to shape I is a reflection across the x or y axes
, followed by a translation 4,5,6 or 7
units right and 2,3,4 or 5
units down, and then a dilation by a scale factor of 0.5 or 1 or 1.5 or 2
.
Answer:
-4 an -3 11 4 9
Step-by-step explanation:
Answer:
1) reflection across the x-axis
2) 7 units right
3) 2 units down
4) dilation by a scale factor of 2
Step-by-step explanation:
What is the value of x?
Answer:
10
Step-by-step explanation:
5x - 17 = 3x + 3 (vertically opposite angles)
5x - 3x = 3 + 17
2x = 20
x = 20/2
x = 10
hope it helps you!
PLSSSSSS!!!! HELP ME I WILL MARK YOU!!!!!!! MATH!!!!!!!!!!!!!!
Answer:
-24
Step-by-step explanation:
-1(3^2)+(-15)
-9+(-15)
-24
Answer:
-24
Step-by-step explanation:
if n=-1, p=3, and q=-15, then the equation would be -1(3)^2+(-15)
Follow PEMDAS.
-1(3)^2+(-15)
-1x3^2-15
-1x9-15
-9-15
**-24**
hope this helps! : )
To get to work in the morning, Amanda cycles for 10 miles at the rate of 12 mph. She makes a 10 minutes stop for a cup of coffee, and then rides a bus for 15 minutes. The speed of the bus is 45 mph.
A)At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am and she wants to have a coffee break that is 5 minutes longer than usual?
B)At what rate, in mph, would Amanda have to cycle to get to work by 9:45 am if she leaves her house at 8:30 am she wants to have a coffee break that is 10 minutes longer than usual?
Answer:
8:25 am
Step-by-step explanation:
Answer:
A. 13.33
b.15
Step-by-step explanation:
Hey, I need help with a math question. thank you <3
Answer:
B
Step-by-step explanation:
What are the solutions of x^2-2x+5=0? A. X=2i or x=-2i. B. X=1+2i or x=1-2i. C. X=2+i or x=2-i. D. X=2+2i or x=2-2i
Answer:
B. x=1+2i or x=1-2i.
Step-by-step explanation:
The equation is given as;
x²-2x+5=0
complete the square method to find value of x as;
x²-2x = -5
x²-2x + 1 = -5 + 1
x²-2x +1 =-4
( x-1 )² = -4
x-1 = ±√-4 ---------where √-1 = i
x-1 =± 2i
So;
x-1 = + 2i
x= 1+2i
or
x= 1-2i
x= 1-2i