Answer:
[tex]\displaystyle y = -\frac{2}{3} x + \frac{34}{3} \text{ or } 2x + 3y =34[/tex]
Step-by-step explanation:
We want to find the equation of a line that contains the point (5, 8) and is parallel to the graph of:
[tex]\displaystyle 2x + 3y = 9[/tex]
Recall that parallel lines have equal slopes.
Find the slope of the given graph by rewriting it in slope-intercept form:
[tex]\displaystyle \begin{aligned} 2x + 3y & = 9 \\ \\ 3y & = -2x + 9 \\ \\ y & = -\frac{2}{3} x + 3 \end{aligned}[/tex]
Hence, the slope of the given graph is -2/3. Therefore, the slope of our new line must also be -2/3.
Since we now have a slope and a point, we can consider using the point-slope form:
[tex]\displaystyle y - y_1 = m(x-x_1)[/tex]
Substitution yields:
[tex]\displaystyle y - (8) = -\frac{2}{3}(x -( 5))[/tex]
We can simplify this into slope-intercept form:
[tex]\displaystyle \begin{aligned} y - 8 & = -\frac{2}{3} x + \frac{10}{3} \\ \\ y & = -\frac{2}{3} x + \frac{34}{3}\end{aligned}[/tex]
Or, into standard form:
[tex]\displaystyle \begin{aligned} y & = -\frac{2}{3}x + \frac{34}{3} \\ \\ 3y & = -2x + 34 \\ \\ 2x + 3y & = 34 \end{aligned}[/tex]
If lineman works 9 1/2 hours a day on a certain job at $28.70 per hour, what is the pay for a day?
can anyone help me with question b
Answer:
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Step-by-step explanation:
Hhhhhhhhhhhhhhhhjjjjjj
Answer:
8.75 per hour
Step-by-step explanation:
Since it is a linear function we can use the slope formula
m = ( y2-y1)/(x2-x1)
= ( 370-20)/(40-0)
=350/40
= 8.75
3/5 of 2 kg
what is the answer
Answer: 1.2 kilograms Brainliest please happy to help
Step-by-step explanation:
solve the system x-y=5 and 4x-5y+17
Answer:
Step-by-step explanation:
x = 3
7=2
3-2=5
slope is 4/5
Mrs. Trip landed at Boston Logan airport and exchanged 700 Euro for $875 at a currency exchange store. Then she realized that she would need more cash and exchanged 400 Euro more. How many dollars did she receive for the second transaction?
Answer:
$500
Step-by-step explanation:
find the ratio
875/700=5/4
apply the ratio
5/4*400=500
The first day of Sam's vacation was a Monday.
What was the day of the week on Sam's 36
day of vacation?
Answer:
I think it was monday also
Answer:
The day of the week on Sam's 36th
day of vacation would be Tuesday.
7.
Write an equation in point-slope form for the line through the given point with the given slope.
(10, –9); m = –2
A. y – 10 = –2(x + 9)
B. y – 9 = –2(x – 10)
C. y – 9 = –2(x + 10)
D. y + 9 = –2(x – 10)
Answer:
D. y + 9 = –2(x – 10)
Step-by-step explanation:
GradPoint answer
I also got the answer correct on the quiz.
The points represented by the table like on a line. Find the slope of the line.
х
2
2
2
2
y
-6
3
-7
1
Answer:
undefined slope
Step-by-step explanation:
There us change in rise but no change in run or x value. This means is a vertical line and it's slope is undefined.
Select the two statements that are true about the equation y − 10 = 60(x − 40).
A. The slope of the line is 10.
B. The slope of the line is 60.
C. One point on the line is (40, 10).
D. One point on the line is (10, 60).
Answer:
The answer for this question is B and C
The answer is B and C
The equation above is in point slope form
y-y1=m(x-x1)
Using the form, you can see that m represents the slope which is 60, y1 is 10 and x1 is 40. (40,10)
So thats why B and C is the answer!
brianlist me?
what is the height if a painting is 1 centimeters and represents as 9 inches
Answer:
The height of the real painting is 36 inchesWhat would 4 divided 4/5 be and please explain step by step or show your work on a piece of paper to get marked =]
Answer:
5
Step-by-step explanation:
4/1 ÷ 4/5 = 4/1 x 5/4 = 20/4 = 5
The question is in the screenshot!!
fill in the blank (Geometry B)
Help ASAP! i will give brainliest!
9514 1404 393
Answer:
-3/4a^3b^23.2·10^-1-0.1a^(n+1)Step-by-step explanation:
To find the cube root, divide all of the exponents by 3. For a cube root, the sign is unchanged.
A) ∛(-27/64a^9b^6) = -∛(3^3/4^3·a^9·b^6) = -3/4a^3b^2
__
B) 9.6×10^-8 ÷ (3×10^-7) = (9.6/3)×10^(-8-(-7)) = 3.2×10^-1
__
C) ∛(-0.001a^(3n+3)) = -∛(0.1^3·a^(3n+3)) = -0.1a^(n+1)
code for the below question
We have to calculate the area of a rectangle, a square and a circle. Create an
interface 'Shape' with three methods declarations namely 'RectangleArea' taking two
parameters, 'SquareArea' and 'CircleArea' taking one parameter each. The parameters
of 'RectangleArea' are its length and breadth, that of 'SquareArea' is its side and that of
'CircleArea' is its radius. Now create another class 'Area' containing all the three
methods 'RectangleArea', 'SquareArea' and 'CircleArea' for printing the area of
rectangle, square and circle respectively. Create an object of class 'Area' and call all the
three methods.
Step-by-step explanation:
can I use python?
yes or no
please help me with my homework
Answer:
steps below
Step-by-step explanation:
5-1) Center of dilation: intersect of AA' and BB' (or CC' ...) (M in the graph)
5-2) scale factor = A'B' / AB = 6/4 = 1.5
5-3) ratio of all corresponding sides are equal = 1.5 and parallel, it also means all corresponding angles are similar.
Alicia has hair that is 32 inches long. She asks the hairdresser to cut off 1/4 of the total length of her hair.
How many inches does the hairdresser cut?
Answer:
hairdresser cuts 8 inches
Step-by-step explanation:
32 ÷4 =8
what equation is perpendicular to the equation 4y=x-36
Answer:
y=6 and x=9
Step-by-step explanation:
Ur dad left you IMAO go look for your dad
Two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube. One particle travels 97 cm in the 1st 2 seconds, 93 cm in next 2 seconds , 89 cm in another next 2 seconds, etc. The other particle travels 49 cm in the 1st 2 seconds, 47 cm in the next 2 seconds , 45 cm in another next 2 seconds, etc. Find how long it takes for the particles to meet and hence, determine the distances travelled by each particle.
This shows that it will take the particle 23 secs to meet.
The distance travelled by each particle is 50cm
If two particles are projected simultaneously towards each other from opposite ends of a straight horizontal tube,
The first particle distances are 97cm, 93cm, 89cm... every 2secs
This form an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 97
d is the common difference = 4
Substitute
Tn = 97+(n - 1)(4)
Tn = 97 + 4n -4
Tn = 4n + 93
Similarly for the distances 49 cm, 47 cm, 45cm .....
This also forms an arithmetic sequence and the nth term is expressed as:
Tn = a + (n - 1)d
a is the first term = 49
d is the common difference = 2
Substitute
Tn = 49+(n - 1)(2)
Tn = 49 + 2n -2
Tn = 2n + 47
For the particles to meet, this means that 4n + 93 = 2n + 47
4n - 2n = 47 - 93
2n = -46
n = -23
This shows that it will take the particle 23 secs to meet.
To get the distance travelled by each particle
Tn = 4n + 93
T2 = 4(2) + 93
T2 = 101
For the other sequence;
Tn = 2n + 47
T2 = 2(2) + 47
T2 = 51
Taking the difference;
D = 101 - 51 = 50cm
Hence the distance travelled by each particle is 50cm
Learn more here: https://brainly.com/question/13989292
a shopkeeper bought six crates of soda at 300 shillings each he was also charged 200 for transport during transportation 44 bottles broke and he sold each of the remaining bottle for 15 sh. if each crate holds 24 bottles what was his percentage loss
Answer: 52,5%
Step-by-step explanation:
For 6 cases of soda, he had to make a profit in the amount of:
6×300=1800 sh
And also taking into account the fact that he was charged with transportation of 200 ; then he made a profit in the amount of:
1800-200=1600sh
Total bottles of soda - 24 × 4= 96 b
He also broke 44 bottles - 96-44=52 b
Then he earned :
52×15=13×4×15=60×13=780 sh
Then he suffered a loss in the amount of :
1600-780 =820 sh
As a percentage
[tex]\dfrac{820}{1600} \cdot 100=\boldsymbol{51,25 \%}[/tex]
Use intercepts to graph the linear equation 5x+3y=30
30/5 is equal to 6
this is your x-intercept
30/3 is equal to 10
this is your y-intercept
I think you know what to do now :)
(0,10) and (6,0)
How many solutions exist for the mixed-degree system graphed below?
Answer:
(c) part two is correct ans.
Step-by-step explanation:
mark me as a brainlist plz.
A rectangular solid measures 150cm by 100cm by 200cm calculate the volume, in cm3 and in dm3 show conversion factors
Answer:
3000000cm³
3000dm³
Step-by-step explanation:
150cm x 100cm x 200cm = 3000000cm³
[tex](3000000cm^{3}) (\frac{(10)^{3}(dm)^{3} }{(100)^{3}(cm)^{3} }) = 3000dm^{3} [/tex]
graph the line with slope 2/3 passing through the point (5,2). I need a picture of where to put the lines
20 cm
Den
mm
Base, heighi.
and lengu are
Above
Answer:
500
Step-by-step explanation:
Volume of a triangular prism formula
The volume formula for a triangular prism is (height x base x length) / 2, as seen in the figure below: ( attatchment )
So, you need to know just three measures: height, base, and length, in order to calculate the volume.
Which table represents exponential growth?
Answer:
B.
Step-by-step explanation:
Exponential graphs means that it starts to go up slowly but then goes up faster. A is going down, so that's wrong since the graph needs to go up. The correct answer is B.
If AB= 4 units and DC=4 units , what is the length of BC
Answer:
sqrt(2)
Step-by-step explanation:
bd=ab/2=2
=> bc=qrt(bd^2+dc^2)=sqrt(4+16)=2sqrt(5)
I will give you BRAINLYEST if you answer this. (I did not get an answer the first time that I asked this)
What is the sign of the product (3) × (−25) × (7) × (−24)?
Positive, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is positive
Positive, because the products (3) × (−25) and (7) × (−24) are positive and the product of two positive numbers is positive
Negative, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is negative
Negative, because the products (3) × (−25) and (7) × (−24) are positive and the product of two positive numbers is negative
Answer:
Positive, because the products (3) × (−25) and (7) × (−24) are negative and the product of two negative numbers is positive
Step-by-step explanation:
(3) × (−25) × (7) × (−24) =(-75)(negative)×(-168)(negative)=12 600(positive)
12. Determine the slope of the line having the equation 2x + y = 12
a. 2
b. -2
c. ½
d. -½
Answer:
b. -2
Step-by-step explanation:
Note the slope-intercept form: y = mx + b
Note that:
y = (x , y)
m = slope
x = (x , y)
b = y-intercept
First, isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Subtract 2x from both sides of the equation:
2x (-2x) + y = (-2x) + 12
y = -2x + 12
Remember, m is the variable for the term that stands for the slope (directly next to the x variable). In this case, your answer will be -2
b. -2 is your answer.
~
Answer:
b. -2
Step-by-step explanation:
2x+y=12
add -2x to both sides
y = -2x + 12
this is in slope intercept form y = mx + b
m meaning the slope
in this case the slope is -2
the answer will be b. -2