Answer:
For parallel:
gradient is 1/5
[tex]y = mx + c[/tex]
consider (5, -2):
[tex] - 2 = ( \frac{1}{5} \times 5) + c \\ - 2 = 1 + c \\ c = - 3[/tex]
[tex]{ \boxed{ \bf{equation : y = \frac{1}{5}x - 3 }}}[/tex]
For perpendicular:
gradient, m1:
[tex]m _{1} \times m_{2} = - 1 \\ m _{1} \times \frac{1}{5} = - 1 \\ \\ m _{1} = - 5[/tex]
gradient = -5
[tex]y = mx + c \\ - 2 = (5 \times - 5) + c \\ - 2 = - 25 + c \\ c = 23[/tex]
[tex]{ \boxed{ \bf{equation :y = - 5x + 23 }}}[/tex]
Answer:
Parallel: [tex]y=\displaystyle \frac{1}{5}x-3[/tex]
Perpendicular: [tex]y=-5x+23[/tex]
Step-by-step explanation:
Hi there!
What we must know:
Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)Parallel lines always have the same slopePerpendicular lines always have slopes that are negative reciprocals (ex. 2 and -1/2, -6/7 and 7/6)Finding the Parallel Line
[tex]y=\displaystyle \frac{1}{5} x-3[/tex]
Given this equation, we can identify that its slope (m) is [tex]\displaystyle \frac{1}{5}[/tex]. Because parallel lines always have the same slope, the slope of the line we're currently solving for would be [tex]\displaystyle \frac{1}{5}[/tex] as well. Plug this into [tex]y=mx+b[/tex]:
[tex]y=\displaystyle \frac{1}{5}x+b[/tex]
Now, to find the y-intercept, plug in the given point (5,-2) and solve for b:
[tex]-2=\displaystyle \frac{1}{5}(5)+b\\\\-2=1+b\\-2-1=b\\-3=b[/tex]
Therefore, the y-intercept is -3. Plug this back into [tex]y=\displaystyle \frac{1}{5}x+b[/tex]:
[tex]y=\displaystyle \frac{1}{5}x+(-3)\\\\y=\displaystyle \frac{1}{5}x-3[/tex]
Our final equation is [tex]y=\displaystyle \frac{1}{5}x-3[/tex].
Finding the Perpendicular Line
[tex]y=\displaystyle \frac{1}{5} x-3[/tex]
Again, the slope of this line is [tex]\displaystyle \frac{1}{5}[/tex]. The slopes of perpendicular lines are negative reciprocals, so the slope of the line we're solving for would be -5. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-5x+b[/tex]
To find the y-intercept, plug in the point (5,-2) and solve for b:
[tex]-2=-5(5)+b\\-2=-25+b\\-2+25=b\\23=b[/tex]
Therefore, the y-intercept is 23. Plug this back into [tex]y=-5x+b[/tex]:
[tex]y=-5x+23[/tex]
Our final equation is [tex]y=-5x+23[/tex].
I hope this helps!
A car is traveling at a speed of 99 kilometers per hour. What is the car's speed in kilometers per minute? How many kilometers will the car travel in 5 minutes? Do not round your answers.
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the length of a rectangle is 8cm and the height is 16cm find the answer of the above figures using this formular...
2(a + b) Perimeter
(B×H) Area
[tex]\\ \sf\longmapsto Perimeter=2(L+B)[/tex]
[tex]\\ \sf\longmapsto Perimeter=2(16+8)[/tex]
[tex]\\ \sf\longmapsto Perimeter=2(24)[/tex]
[tex]\\ \sf\longmapsto Perimeter=48cm[/tex]
Area:-
[tex]\\ \sf\longmapsto Area=Length\times Breadth[/tex]
[tex]\\ \sf\longmapsto Area=8(16)[/tex]
[tex]\\ \sf\longmapsto Area=128cm^2[/tex]
Which expression is equivalent to?
Answer:
b
Step-by-step explanation:
Answer:
Option(b)
Step-by-step explanation:
(x)^-5/3
=> 1/(3√(x)^5)
Change each base 10 number to a binary by the division method
5
Answer:
Step-by-step exA wall is 1200 sq ft.
A gallon of paint covers 200 sq ft.
Complete the conversion factor: 1 gallon / ? sq ftplanation:
Fill in the blank.
milliliters = 42 liters
Answer:
42 liters= 42000 milliliters
Answer:
42000
Step-by-step explanation:
1 litre = 1000 ml
42 l = 42 × 1000 ml
42 li = 42000ml
Tanner earns 12.50 per hour at his after school job he worked 11.75 hours this week how much did tanner earn this week? Pls do step by step
Answer:
He earned $146.875
Step-by-step explanation:
12.5 an hour for 11.75 hours
So you just do 11.75 x 12.5 which is 146.875
Answer:
146. 88
Step-by-step explanation:
12.50×11.75
=146.88
Write the equation of the line parallel to y = 1/3x- 6 that passes through the point (-12,3) in slope-intercept form
Answer:
[tex]y=\frac{1}{3} x+7.[/tex]
Step-by-step explanation:
all the detail are in the attached picture, here is the short explanation step-by-step:
1) to select the values of slope and interception from the given equation;
2) using the rule of parallel lines to find the slope of the required line;
3) to write the required equation (the value of slope is known, the value of interception is inknown);
4) to calculate the unknown value of interception of the required equation after the substitution the coordinates of the point in the condition;
5) to make up the required equation using calculated slope and interception.
Find the distance between the two points rounding to the nearest tenth. (2,-8) and (5,-6)
9514 1404 393
Answer:
3.6
Step-by-step explanation:
The distance formula is used for this purpose:
d = √((x2 -x1)² +(y2 -y1)²)
d = √((5 -2)² +(-6 -(-8))²) = √(3² +2²) = √13
The distance is √13 ≈ 3.6 units.
al realizar una investigación sobre la preferencia que los estudiantes tienen del estudio con música ambiental ¿cual seria variable importante en la investigacion? ¿ como la representarias? ¿por que?
Answer:
Step-by-step explanation:isusususus
I need help with this math question.
x^3-8x^2<0
9514 1404 393
Answer:
(-∞ < x < 0) ∪ (0 < x < 8)
Step-by-step explanation:
Factoring the inequality gives you ...
x²(x -8) < 0
The x-intercepts of the curve described by the left-side expression are 0 and 8, values that make the factors zero. The intercept at x=0 has multiplicity 2, so the curve does not cross the x-axis there.
Since this is an odd-degree polynomial with a positive leading coefficient, its general shape is rising to the right. That means the left-side expression will be negative for x-values less than the first x-intercept, and for x-values between the x-intercepts.
The solution is ...
(-∞ < x < 0) ∪ (0 < x < 8)
find the square root of 121 and compare the answer to 13
Dhruv jogs 8ft per second find the rate in miles
Answer:
1/660th of a mile per second
Step-by-step explanation:
There are 5280 feet in a mile, and he is going 8 feet per second. You do 5280/8 and you get that he goes 1/660th of a mile every second.
-x + 5x - 2x + 7 ?? i don’t know the answer
Answer:
-x + 5x - 2x + 7
=-3x+5x+7
=2x+7
Maria has four hours of free time each day. She can spend it studying or working at the Wang's Chinese
Kitchen for $6.50 per hour. Curve A illustrates the trade-off between school grades and the wages Maria
could eam.
What are the maximum wages Maria could eam if she works five days a week?
b. What grades can she expect if she works 10 hours each week?
What advice would you give Maria if she were eaming $50 each week and making Ds?
a
c.
Opportunity cost is the cost of the alternative forgone;
The cost of Maria spending more time on her studies is the wages from working in the kitchen which she does not earn and vice versa
The correct values are as follows:
a. The maximum wages Maria could earn is $130
b. The grades she can expect if she works 10 hours each week is grade C
c. She should make a decision to either quit school or quit her job
d. To become a pharmacists, she should study more and quit her job
To become a restaurant owner/manager, she should develop her restaurant/managerial skills more at the
The reason for the above responses are as follows:
The known parameters are:
The number of hours of free time Maria has each day = 4 hours
The activities Maria can use the four hours for = Studying or working at the Wang's Chinese kitchen
The amount she can earn per hour working = $6.50 per hour
Question a. Required;
The maximum wages Maria could earn working 5 days a week
Solution;
Taking the each unit on the horizontal axis of the attached graph as one day. There are 5 units which equal 5 days
if she works for the five days, she spends all the available time working and she earns maximum wage on the graph which is $130The maximum wages Maria could earn if she works five days a week = $130
b. Required:
The grade she can expect by working 10 hours a week
Solution:
The number of hours available each week = 5 × 4 hours = 20 hours
If she works 10 hours each week, she spends the remaining 10 hours studying which is half of her available time
The grades she can expect by working 10 hours each week (half of her spare time) is giving by the value of the graph at the middle of the of half the length of the horizontal axis values which is grade C
c. Required:
The advice for Maria if she is earning $50 each week and is making Ds
Solution:
If Maria is earning $50 each week, the number of days she is working = One day
The number of days she spends reading = 4 days
In order to improve her grades, she should increase the number of days she spends reading, and therefore, she should spend more than 4 days or the 5 days reading and she should stop working and forgo the $50 for a grade C
Therefore;
Maria has to make a decision to either quit school or quit her job
d. Part of the question that can be included as seen from a similar question online is as follows;
The advice for her if she is interested in becoming a pharmacists or a restaurant owner/manager
If she is interested in becoming a pharmacist, she should stop working and focus on her studies; Quit her job
If she interested in becoming a restaurant owner or manager, she should spend less time reading and spend much of her time at the Wang's Chinese kitchen to develop are restaurant business skills;
Learn more about the production possibility curve here:
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Which of the following is equal to 3 * 2 + 4 * 5?
Answer:
= 26
Step-by-step explanation:
... 3 × 2 + 4 × 5 ...
6 + 20
26
What is the distinguishing feature of a profession?
Answer:
Some things you must have in order to be that certain profession is:
Accounts receivable (order to cash)
Accounts payable (procure to payment)
Financial close.
Time and expense capture.
Fund accounting.
Project accounting.
Revenue recognition and management.
Step-by-step explanation:
If need anything else let me know, if not pls mark me as brainliest :)
A particular store sells items for only $1, $3 and $5 and charges no sales tax. If
Georgia buys nine SI items, seven $3 items and three $5 items
from this store, what is the total amount she will be charged?
SI $3 $5
Answer: Answer:
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Step-by-step explanation:
Write a numerical or algebraic expression for each verbal phrase .
Seven fewer than a number?
Alice rented bowling shoes for $3.25 and played five games at $2 each write evaluate an expression for the total coast of bowling?
Answer:
n-7
Step-by-step explanation:
Seven fewer than a number means that you just subtract 7 from the original number.
Which statement is true regarding the graphed functions?
60
10
8.
f
6
4
-6 -5 -4 -3 -2 -12
2
3
4
5 6 X
4+
1.6
900
-8
-10
-12
Answer:
f(0)=g(0) is the only correct option.
Step-by-step explanation:
The value of the function is essentially the value of y in this graph. So it suffices to answer by checking and comparing the y values of both functions.
f(0)=g(0) must be correct as they are on the same point (and thus has the same y value)
f(-2)=4 but g(-2)=-4. So option b is wrong.
Option c is also wrong by checking the values.
The required, true statment among the option for the given graph of functions is f(0)=g(0). Option A is correct.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
From the graph given, it is seen that the two lines intersect at a common point (0, -2)" which means that on the graph provided, there are two lines that meet or cross each other at a specific point in the coordinate plane, which has an x-coordinate of 0 and a y-coordinate of -2. The intersection point (0, -2) is where the x and y values of the two lines are equal, meaning they share a common solution.
This point is sometimes called the point of intersection or the solution to the system of equations formed by the two lines.
Following the above discussion, we can conclude that f(0) = g(0). Option A is correct.
Learn more about function here:
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please help me. i will give brainliest to the right answer. thank you so much
Answer:
the bottom right and top far right is correct one
Step-by-step explanation:
A reviewer decides to interview patrons to see how they would rate a particular restaurant. The following table lists the responses from
twenty-five patrons. What is the level of measurement for the data? Are the data qualitative or quantitative?
Restaurant Ratings
One Star Two Stars Three Stars
Five Stars
Four Stars
Three Stars
Four Stars
Four Stars
Five Stars
Three Stars
Five Stars
Four Stars
Five Stars
Four Stars Three Stars
Three Stars Five Stars
One Star
One Star
Two Stars
Five Stars
Two Stars
Four Stars
One Star
Five Stars
The level of measurement of the data is ORDINAL and the data is QUALITATIVE.
An Ordinal level of measurement is one whereby measurement follows a natural order, however, the difference or distance between each category cannot be measured. Ordinal data level are applicable to categorical variables.
In the scenario given,
The different categories available are :
One star, two stars, three stars, four stars and five stars.
The categories are ordered with the number of stars depicting better quality however, the difference between the quality offered isn't measurable.
Qualitative data groups variables into different categories and are used for non - numeric variables.
Quantitative data on the other hand are used for numeric data.
Hence, the level of measurement is Ordinal and the data is QUALITATIVE
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Answer:one star
Step-by-step explanation:
if SP is equal to rupees 400 and loss percent is 20% find CP
100-20=80%=400
[tex]\\ \rm\longmapsto 80\%\:of\:CP=400[/tex]
[tex]\\ \rm\longmapsto CP=400\times \dfrac{100}{80}[/tex]
[tex]\\ \rm\longmapsto CP=5(100)[/tex]
[tex]\\ \rm\longmapsto CP=500[/tex]
Step-by-step explanation:
Given,
S.p.=Rs400
Loss percent(L%) =20%
C.p.=?
We know,
S.p. =(100-L) % of c.p.
or,400=(100-20)% *c.p.
or,400=80% *c.p.
or, 400=80/100*c.p.
or,c.p.=Rs.500
Here, c.p.=Rs.500
Bronwyn wants to buy a house, so she has decided Savings to save one quarter of her salary. Bronwyn earns $47.00 per hour and receives an extra $28.00 a week because she declined How many hours must she work each week to achieve her goal? company benefits. She wants to save at least $550.00 each week.
Answer:
her goal is to have money 21250
I hope it helps u
what is trigonometry ?
no explanation required !
Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies.
Can you help me plzz i need it quick
Answer:
okbhyuugggfububububhhhukjgyi
HELP PLEASE FAST
Thanks xoxo!
Answer:
3rd Choice
Step-by-step explanation:
The third answer choice is correct, remember that a shape is not a rectangle or square if it doesn't have four 90 degree angles.
If a ribbon that is 30.1 inches long is cut into equal pieces that are 1.75 inches long, how many pieces of ribbon can be created?
1.72
12.7
17.2
172.0
Answer:
17.2
Step-by-step explanation:
30.1÷1.75=17.2
plssss mark brainliesttr
pls help! I need the answer quickly!
Step-by-step explanation:
The correct answer is 4 (option B)
the inequality -3n<12 is equivalent to
a. n < 4
b. n < -4
c. n > 4
d. n > -4
e. n > 36
Answer: D. n > -4
Step-by-step explanation:
Given
-3n < 12
Divide both sides by -3. REMEMBER to change the [>,<] signs when multiplying or dividing a negative term
-3n / -3 > 12 / -3
n > -4
Hope this helps!! :)
Please let me know if you have any questions
Hey there! I'm happy to help!
Inequalities are solved like normal equations with a few extra rules.
So, we could simply divide both sides by -3 to get our answer, but n<-4 would actually be incorrect. With inequalities, dividing by a negative number means you have to flip the inequality sign. This is because you turn the other side negative so you need to adjust the inequality sign to match it.
So, our final answer will actually be n>-4.
Have a wonderful day and keep on learning! :D
a student skipped a step when he tried to convert 1020 seconds into hours and got the following incorrect result
1020seconds (1hours/60mins)=17hours
what conversion ratio did he skip in this multiple-step conversion
Answer:That student has forgot to convert it into minutes and then convert it to hours
Step-by-step explanation:
1020/7=17 minutes and
17/60=0.283hours