Answer:
(y-1)= 3(x-7)
Step-by-step explanation:
1. you put the equation given in slope intercept form so y=3x-1.
2. you find the slope, parellel lines have the same slope so the slope for the new equation will remain 3.
3. then you write the point-slope form equation
4) make sure to plug in the x1 and y1 values from the coordniates given
The required equation of the line is given as 3x - y = -4.
Given that,
The equation of the line that passes through the point ( 1, 7 ) and is parallel to the line 3x−y = 1 is to be determined.
The slope of the line is a tangent angle made by line with horizontal. i.e. m = tanx where x in degrees.
here,
The standard equation of the line is given as,
y = mx + c,
Since the line is parallel to line 3x - y = 1 whose slope is m = 3, and also the slope of the parallel line are equal.
so,
y = 3x + c
Put points (1, 7) in the above equation,
7 = 3 + c
c = 4
y = 3x + 4
Thus, the required equation of the line is given as 3x - y = -4.
Learn more about slopes here:
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Imagine that your team has been assigned by a construction company to measure the dimensions of an empty lot in a subdivision. Briefly give examples of the 6 types/sources of errors described above and explain what you would do to minimize them.
Answer:
All explained below.
Step-by-step explanation:
The sources of errors are;
1) Instrumental Errors: This could be as a result of wrong calibration of equipment.
2) Observational Systematic errors: An example of this is parallax error while taking a reading.
3) Environmental random errors: In this type of error, a slight change in the temperature of humidity in the lot could possibly affect the accuracy of the measurement.
4) Observational random errors: This refers to errors gotten when the values are incorrectly read or incorrectly interpolated.
5) Environmental systematic errors: An example of this is that the current supplied to the instrument taking the reading may be low. Thus, this may affect effective reading.
6) Theoretical systematic errors: This could arise from over simplification of the experimental model. An example of this is that the experiment might require a totally frictionless surface which may not be achievable. And this will lead to wrong measurement.
Minimizing the errors:
1) Instrumental Errors can be minimized by ensuring proper calibration of equipment before use.
2)Observational Systematic errors can be minimized by ensuring readings are not taken at an angle.
3)Environmental random errors could be minimized by carrying out the experiment in a relatively good laboratory under fair weather conditions.
4)Observational random errors can be minimized by ensuring that the results from the readings are properly collated and the rightly interpolated as the case may be.
5)Environmental systematic errors can be minimized by ensuring stable power source to the instrument being used for the reading.
6)Theoretical systematic errors could be minimized by taking an average of at least 3 tests result to get a fair representation of the final result.
The perimeter of a triangular garden is 78 feet. Find the length of the three sides if the middle length side is 3 feet greater than twice the length of the smallest side, and the longest side is 3 feet less than 3 times the length of the smallest side.
Answer:
36, 29 and 13
Step-by-step explanation:
Let 'a' be the longest side.
Let 'b' be the middle side.
Let 'c' be the smallest side.
From the question given above,
The perimeter of a triangular garden is 78 feet. This can be written as:
Perimeter = a + b + c
78 = a + b + c ...... (1)
The middle length side is 3 feet greater than twice the length of the smallest side. This can be written as follow:
b = 2c + 3 ...... (2)
The longest side is 3 feet less than 3 times the length of the smallest side. This can be written as follow:
a = 3c – 3 ..... (3)
Summary:
78 = a + b + c ...... (1)
b = 2c + 3 ...... (2)
a = 3c – 3 ..... (3)
Substitute the value of a in equation
3 and the value of b in equation 2 into equation 1
78 = a + b + c
b = 2c + 3
a = 3c – 3
78 = (3c – 3) + (2c + 3) + c
78 = 3c – 3 + 2c + 3 + c
78 = 3c + 2c + c – 3 + 3
78 = 6c
Divide both side by 6
c = 78/6
c = 13
Substitute the value of c into equation 2 and 3 to obtain the value of b and a respectively
b = 2c + 3
c = 13
b = 2(13) + 3
b = 26 + 3
b = 29
a = 3c – 3
c = 13
a = 3(13) – 3
a = 39 – 3
a = 36
Therefore, the length of the three sides are: 36, 29 and 13
A restaurant sells a coffee refill mug for $6.75. Each refill cost $.1.25. Last month, Keith spent $31.75 on a mug and the refills. How many refills did Keith purchase last month? Write and solve an equation to determine the number of refills, r, that Keith purchased.
Answer:
He purchase 20 times.
Step-by-step explanation:
1.25(r)+6.75
1.25(20)+6.75
25+6.75=$31.75
Help! Best answer will get brainiest
Answer:
x=20
Step-by-step explanation:
Complementary means =90 degrees, so with that being said, you need to write the equation as follows:
2x+10+x+20=90
Then add like terms:
3x+30=90
Subtract 30 from both sides (30 and 90)
3x=60
Divide both sides by 3
x=20
I hope this helps!!
Write an equation of the line with the given slope, m, and y-intercept (0,b).
m = -3/4, b= 1/2
Answer:
y = -3/4x+1/2
Step-by-step explanation:
If m∠2 = 42 and m∠6 = 126, what is m∠4?
Answer:
D.) 138
Step-by-step explanation:
It cannot be the others because it is a big obtuse angle.
Answer:
D.) 138
Step-by-step explanation:
It cannot be the others because it is a big obtuse angle.
HELPPPPP MEEE PLEASESESESESESESES
1. Write an equation that represents the table.
Answer:
x=y-16
x=1 then y=44
x=2 y=28
x=3 y=12
x=3 y=-4
x=5 y=-20
the correct anserw is basalt promise me i even looked this up:)
Answer:
ok
Step-by-step explanation:
Answer:
Great job.
Step-by-step explanation:
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Probability with discrete random variables
A furniture factory makes a 4-piece desk. Quality control at the factory has randomly sampled numerous desk
sets and determined the number of damaged pieces in each set.
The table below is a partially completed probability distribution for the random variable X, where X represents
the number of damaged pieces in a randomly selected desk set from this factory.
X
0
1
2
3
4
P(X) 0.75
0.14
0.07
0.03
?
What is the probability that a randomly selected desk set contains exactly 4 damaged pieces?
P ( X = 4) =
Show Calculator
Answer:
0.01
Step-by-step explanation:
On khan
Use the diagram to answer the question. Fill in the blank for the letter given with the missing reason in the flow proof.
Please help me out :(
Answer:
a)M5=40º
b)M2=140º
c)M2 and M5 are supplementary angles
d)M2 and M5 are same side interior angles
e) A||B
Step-by-step explanation:
Remember that same side interior angles are the angles that are located on the same side of a straight line that cuts through two parallel lines, and these angles are supplementary, meaning that the sum of both of them will always be 180º. So by stating that M5 and M2 add up to 180º and they are on the same side of a straight line cutting through two straight lines we can prove that those two lines are parallel.
What set of transformations could be applied to rectangle ABCD to create A″B″C″D″?
'Rectangle formed by ordered pairs A at negative 4, 2, B at negative 4, 1, C at negative 1, 1, D at negative 1, 2. Second rectangle formed by ordered pairs A double prime at negative 4, negative 2, B double prime at negative 4, negative 1, C double prime at negative 1, negative 1, D double prime at negative 1, negative 2.
Reflected over the x‒axis and rotated 180°
Reflected over the y-axis and rotated 180°
Reflected over the x‒axis and rotated 90° counterclockwise
Reflected over the y-axis and rotated 90° counterclockwise
Answer:
B. Reflected over the y-axis and rotated 180°
Step-by-step explanation:
A(-4, 2) Reflected over the y-axis (x, y) → (-x, y) → A'(4, 2)
A'(4, 2) → rotated 180° (x, y) → (-x, -y) → A"(-4, -2)
The set of transformations that can be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°
What is composite transformation?"It is the production of the image of a figure through two or more transformation."
What is reflection?"It is a geometric transformation where all the points of an object are reflected on the line of reflection."
What is rotation?"It is a transformation in which the object is rotated about a fixed point."
For given question,
The rectangle ABCD is formed by ordered pairs A at (-4, 2) , B at (-4, 1), C at (-1, 1), D at (-1, 2)
The rectangle A″B″C″D″ is formed by ordered pairs A" at (-4, -2), B" at (-4, -1), C" at (-1, -1) , D" at (-1, -2)
We can observe that the coordinates of ABCD are of the form (-x, y) where x, and y, are positive numbers
The form of the ordered pair of the vertices of the A″B″C″D″ is (-x, -y)
The coordinates of the point (-x, y) after reflection over y-axis would be of the form (x, y)
And after rotation of 180° the coordinates would be (-x -y)
Therefore, the set of transformations that can be applied to ABCD, to create A″B″C″D″ is a reflection over the y-axis, followed by a rotation of 180°
Learn more about geometric transformations here:
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I do ivjwkebdoe skd d help
If John can drink 1 jug of water in 6 days and mary can drink one jug of water in 1w days how many days would it take them to drink it togethee
Answer:
1
Step-by-step explanation:
because mary can drink 1 jg in 7 days john can drink in six da7 if the drink it together itll go fatser
Choose the correct correspondence.
B
U
т
6
8
A
1
2
3
4
D
7
5
7
R
C
S
A
2
3
4
While hiking, Sandra went up 120 meters. If Sandra started at 800 meters above sea
level, what is her elevation now?
The Answer:
If Sandra started at 800 meters and went up 120, the answer would be 920.
Step-by-step explanation:
First, simply add 800 meters, which is what she started with. Next, since she has gone up 120 meters since then, and the question is asking us what her elevation is NOW, you can add 800 + 120 to get 920. This question is solved by using addition.
Hope this helps!
Please simply the answer please I really need help.
Answer:
7/2
Step-by-step explanation:
Answer:
3 1/2 or 7/2
Step-by-step explanation:
To divide fractions, you keep change flip, so you would get to 7/9*9/2 or 63/18. You can divide both of these numbers by 3 to get 21/6, which you can divide by 3 again to get 7/2
Hello please help willl give brainliest!
Answer:
It will take Wilson 50 minutes to paint this bookcase.
Step-by-step explanation:
40%=20 minutes
10%=5 minutes
100%=50 minutes
Hope this helped! :)
Find the value of the missing number
When dividing 8,164 by 78.5, what is the place value of the last digit in the quotient?
ones
Answer:
Ones
Step-by-step explanation:
The last digit will always be the ones place no matter what.
Answer:
ONES
Step-by-step explanation:
X in the equation 4(x-2)-3=9.
Answer:
[tex]x=5[/tex]
Step-by-step explanation:
[tex]4\left(x-2\right)-3=9[/tex]
[tex]\mathrm{Add\:}3\mathrm{\:to\:both\:sides}[/tex]
[tex]4\left(x-2\right)-3+3=9+3[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]4\left(x-2\right)=12[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}4[/tex]
[tex]\frac{4\left(x-2\right)}{4}=\frac{12}{4}[/tex]
[tex]Simplify[/tex]
[tex]x-2=3[/tex]
[tex]\mathrm{Add\:}2\mathrm{\:to\:both\:sides}[/tex]
[tex]x-2+2=3+2[/tex]
[tex]Simplify[/tex]
[tex]x=5[/tex]
Write the inequality that best represents the relationship shown on this number line. Explain how you determined the inequality.
Answer:
x ≥ _
Step-by-step explanation:
I can't see the numbers, however the number under the closed dot would be the number to insert there. Leave x alone.
hidbafjbeuuvowgefeuft48tt4vvvvvvvvvvvfcnwovefv84wyftv 4fcgfcwgaeyftnwv8
Robert wants to get serious about saving for a new car. What account would you recommend
Answer:I would recommend a saving account .
Step-by-step explanation: Put a certain amount of money in evrey couple weeks or so and do not take any out
Alan says that a growth rate of 12% per year is equivalent to a growth rate of 1% per month because there are 12 months in a year and 12%÷12=1%. Explain why Alan is mistaken, and approximate the correct monthly growth rate that is equivalent to an annual growth rate of 12%. Round to two decimal places. Show your work, please. Thank you!
what is the answer? please
Answer:
cvvvvvvvvvvvvvvgfjgf
Step-by-step explanation:
cxvvvvvvvvvvvvvv
75/1+15e^-0.4x=25 solve for x
Answer:
[tex]\frac{75}{1}+15e^-\cdot \:0.4x=25\quad :\quad x=-\frac{25}{3};\quad \ne \mathrm{True},\:e\ne \:0\quad \left(\mathrm{Decimal}:\quad x=-8.33333\dots \right)[/tex]
Step-by-step explanation:
[tex]\frac{75}{1}+15e^-\cdot \:0.4x=25[/tex]
[tex]\mathrm{Apply\:rule}\:\frac{a}{1}=a[/tex]
[tex]\frac{75}{1}=75[/tex]
[tex]75+15\cdot \:0.4e^-x=25[/tex]
[tex]\mathrm{Multiply\:the\:numbers:}\:15\cdot \:0.4=6[/tex]
[tex]75+6e^-x=25[/tex]
[tex]\mathrm{Subtract\:}75\mathrm{\:from\:both\:sides}[/tex]
[tex]75+6e^-x-75=25-75[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]6e^-x=-50[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}6e^-;\quad \ne \mathrm{True}[/tex]
[tex]\frac{6e^-x}{6e^-}=\frac{-50}{6e^-};\quad \ne \mathrm{True}[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]e^{ }x=-\frac{25}{3e^-};\quad \ne \mathrm{True}[/tex]
[tex]\mathrm{Divide\:both\:sides\:by\:}e;\quad \ne \mathrm{True},\:e\ne \:0[/tex]
[tex]\frac{e^{ }x}{e}=\frac{-\frac{25}{3e^-}}{e};\quad \ne \mathrm{True},\:e\ne \:0[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]\frac{x}{e}=-\frac{25}{3e^1};\quad \ne \mathrm{True},\:e\ne \:0[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}e[/tex]
[tex]\frac{xe}{e}=\left(-\frac{25}{3e^1}\right)e;\quad \ne \mathrm{True},\:e\ne \:0[/tex]
[tex]\mathrm{Simplify}[/tex]
[tex]x=-\frac{25}{3};\quad \ne \mathrm{True},\:e\ne \:0[/tex]
Solve for x/5 - g = a for x.
Answer:x=58/6^
Step-by-step explanation:
The sum of a lists of numbers is 624 and the mean is 52. How many numbers are in the set?
Answer:he sum of a lists of numbers is 624 and the mean is 52. How many numbers are in the set? Get the answers you need, now!
Step-by-step explanation:
OH MY GOD THEY JUST TOOK AWAY EVEN MORE HOW DO I REPORT ADMIN ABUSE
Answer:
oof i don't know if that's possible
maybe try emailing them
Step-by-step explanation:
Answer:
what?
Step-by-step explanation:
simplify √42
I need to know the answer
Answer:
6.48074069 …
Step-by-step explanation:
if you are asked to simplify the radical, then it is already in its simplest form and cannot be simplified further.
If you are asked to solve for the answer, then a simple calculator entry will give us √42 = 6.481 (nearest thousandths)