Answers
Given:
The set of data points on the graph.
To find:
The equation of line that connects the set of data points.
Solution:
From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).
If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Let as consider the line passes through (20,40) and (50,60), then the equation of line is
[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]
[tex]y-40=\dfrac{20}{30}(x-20)[/tex]
[tex]y-40=\dfrac{2}{3}(x-20)[/tex]
Multiply both sides by 3.
[tex]3(y-40)=2(x-20)[/tex]
[tex]3y-120=2x-40[/tex]
Isolate variable terms.
[tex]-2x+3y=120-40[/tex]
[tex]-2x+3y=80[/tex]
Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].
Related Questions
Please help! Will mark brainliest!
Based on the graph, which of the following represents a solution to the equation? (4
points)
1) (-2,-3)
2) (2, 1)
3) (1, 2)
4) (-3, 2)
Answers
Answer:
4) (-3 , 2)
Step-by-step explanation:
Answer:
(-3, 2) because if you extend the line to the right more, it'll go directly through that point, but none of the others. also, if you plot the points, you can look at the line to see which point the line would go through
Step-by-step explanation:
Jerry is a judge. he hears 5 cases every 2 3/8 hours how many cases does he haer per hour
Answers
Answer:
2 2/19
Step-by-step explanation:
5 cases in 2 3/8 hours
The unit rate of cases per hour is calculated by dividing the number of cases by the number of hours.
5/(2 3/8) = 5/(19/8) = 5 * 8/19 = 40/19 = 2 2/19
Answer:
2 2/19 cases per hour
Step-by-step explanation:
5 ÷ 2 3/8
~Turn the fraction on the left into an improper one
5 ÷ 19/8
~Copy Dot Flip
5/1 * 8/19
~Multiply
40/19 or 2 2/19
Best of Luck!
the rectangular post shown at the right measures 2w-30 by w. the poster has an area of 5400 cm^2. what is The value of w ?
Answers
Step-by-step explanation:
w(2w - 30) = 5400
2w²- 30w = 5400
2w² - 30w - 5400 = 0
(w - 60 ) ( w + 45 ) = 0
w= 60 w= - 45
only take the positive value
therefore w = 60
In the following experiment, determine whether or not the probabilities are binomial probabilities. If they are, identify the values for n, p, and q. A die is rolled 30 times. What is the probability of getting x even numbers
Answers
This is a binomial probability experiment. Each trial is independent of one another, ie each roll is independent. The probability of getting an even number is 3/6 = 1/2 = 0.5 and that probability does not change from roll to roll. Furthermore, the value of n is fixed and not infinitely large. Lastly, each trial outcome comes down to two choices: either you get an even number, or you don't. So we've met the requirements of a binomial probability distribution.
The values of n, p and q are:
n = 30 = sample sizep = 0.5 = probability of getting an even numberq = 0.5 = probability of not getting an even number.Answer:
c
Step-by-step explanation:
How much interest is earned on $300 at 6% for six years?
Answers
Answer:
125
Step-by-step explanation:
Answer:
about 125
Step-by-step explanation:
you would get 425-300 get you 125
Find the slope and type the correct code.
Answers
Answer:
50 meter ka 10 km
Step-by-step explanation:
50 meter ka 10 km
You are given parallelogram ABCD and side AB is congruent to side DC.
Prove segment AM is congruent to segment CM.
*Upload a picture of your markings along with your proof
Given triangle RPQ is isosceles and C is the midpoint of line RQ.
Prove that angle RPC is congruent to angle QPC.
*Upload a picture of your markings along with your proof
Answers
ABM=CDM-DMC=BAM alternate interior angles
AMB=CMD verticle angles
triangle AMB=CMD by ASA
A=c CPTC
ABD=BDC, BAC=ACD, ADB=DBC by CPCTC
AM=CM def of a Parallelogram
2.
△
RPQ is an isosceles triangle. C is the midpoint of line RQ- Given
RPC=QPC- construction
PC=PC reflective property
∠
RPC= QPC- SAS
plz look at chart then answer 1 question
Answers
Answer:
0.84
Step-by-step explanation:
not for sure but i think im right
Answer:
0.84
Step-by-step explanation:
12 x 0.07 is 0.84
Find the mean, median, mode, and range of the data below:
1)
# Words in Book Titles
2
6
5
5
5
4
4
2
3
2
3
2 1 2
2
Answers
Answer:
Hi, sry if this doesn't help anymore but these r the answers
mode=2
median=3.5
mean=3.2
range=5
Step-by-step explanation:
Ravi got 80 candies for her daughter's birthday. Each candy weighed 50 grams. If was price of candies was Rs. 10 per kilogram, how much did he pay?
Answers
Answer:
Rs. 40
Step-by-step explanation:
50g = 1 candy1000g = 20 candies20 candies = Rs. 1080 candies = Rs. 40Ravi paid the amount of Rs. 40 for the candies for her daughter's birthday.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions. The operator that performs the arithmetic operation is called the arithmetic operator.
If the candies weighed 50 grams each, the total weight of the candies is 80 x 50 = 4000 grams.
To convert the weight from grams to kilograms, we divide by 1000. So, the total weight in kilograms is 4000 / 1000 = 4 kilograms.
If the price of candies was Rs. 10 per kilogram, the total cost for 4 kilograms is 4 x 10 = Rs. 40.
Therefore, he paid Rs. 40 for the candies.
Learn more about Addition operations here:
brainly.com/question/25834626
#SPJ2
I just want the answer. Plis help me
Answers
That is what I think it is. Sorry if that doesn’t help!
Which equation represents the vertical line passing though (1,-9)
Answers
Answer:
x=1
Step-by-step explanation:
To get the vertical line you leave out the y. Since it goes up in all y's, and then you only need the 1 for the x. easy peasy once you know what it is.
i need help plz welp me
Answers
Answer: -4
Step-by-step explanation:
I used a calculator
Answer:
H. -4
Step-by-step explanation:
You just have to add the 4 scores together.
-2 - 4 - 1 +3
-7 + 3 = -4
a middle school has 520 students, 75% of the students ride the bus to school. How many students do not ride the bus to school?
Answers
Answer:
130 students do not ride the bus to school.
Step-by-step explanation:
520 * .75 = 390
390 students ride the bus to school.
520-390=130
130 students do NOT ride the bus to school.
Hope this helps! :)
Find the equation of the line that is parallel to the given line and passes through the given point.
y=-6x + 9; (8,9)
The equation is y =
Answers
Answer:
y = -6x - 39
Step-by-step explanation:
A parallel line will have the same slope so m= -6, but it will have different points.
So we have y= -6x + b and the points are (8,9)
Substitute that in
9 = -6*-8 + b
9 = 48 + b
subtract 48 on both sides
9-48 = 48 - 48 + b
-39 = b
so equation is
y = -6x -39
click the red heart button to give thanks :) happy holidays
Answer:
y=-6x+9
0=-6x+9
6x=9
x=9/3
x=3/2
Plz help will mark brainliest :)
If you don’t know please don’t answer it’s for a final
(For both drop down menus)
A. An even
B. An odd
C. Neither an even nor an odd
Answers
Answer:
an odd an even
Step-by-step explanation:
plz mark as brainliest. my first answer
Identify the number of zeros for each function
P(x) = 8x^2+5-1
Answers
Answer:
2 zeros
Step-by-step explanation:
Here, we want to identify the number of zeros for the function
The number of zeros a particular function has is dependent on the degree of the function
This particular function is quadratic and has a degree of two
So what this means is that it is expected that the function has two zeros
evaluate the expression when x = 3/4. 1 /5 x answer in simplest form
Answers
Answer:
i dont know what you are asking, make your question more readable and clear
Step-by-step explanation:
(0,8)
(-2,0). What is the equation of the linear graph shown?
Answers
Answer:
4
x value increases by 2 in the time it takes y value to increase by 8
8/2 = 4
write the equation of the line in slope- intercept and point-slope form.
Answers
Answer:
Step-by-step explanation:
As we move from the x-intercept (-2, 0) to the y-intercept (0, 4), x increases by 2 (this is the run) and y by 4 (this is the rise). Thus, the slope of this line is
m = rise/run = 4/2 = 2.
Given the y-intercept (0, 4) and the slope (2), the slope-intercept form of the equation of this line is y = 2x + 4.
From this we get the point-slope form:
y = 2x + 4 becomes y - 4 = 2(x - 0), or just y - 4 = 2x.
Arrange the decimal fractions in descending order.
1.3 0.13 3.1 0.31
Answers
Answer:
0.13 0.13 3.1.3
Step-by-step explanation:
Hope it's answer you plz mark as Brainlist
Robbie made a scale drawing of a neighborhood park. A Soccer field in the park is 14 inches long
in the drawing. The actual field is 98 yards long. What is the scale of the drawing? 1 inch = _ yards
Answers
Answer:
14 it is not 14
Step-by-step explanation:
Answer:
ITS NOT 14
Step-by-step explanation:
I got it wrong anything besides that
John bought an old motor bike for $ 5675 and spent $ 453 on its repair. Then he sold it in $ 7265, find out the profit he made.
Answers
Answer:
1137
Step-by-step explanation:
5675+453
6128
Now
7265-6128
1137
Help due soon will give brainliest show work
Answers
Answer:
A 6.24 I did this just yesterday and I'm sure I got it right
Answer:
D) 13.9 inches
Step-by-step explanation:
use the pythagorean theorem to solve this - a^2 + b^2 = c^2
8.5^2 + 11^2 = c^2
solving gets us a value of 193.25, so next, get the square root of that to the the diagonal length (13.90143...)
What value(s) of x will make x2 = 16 true?
Answers
Answer:
Step-by-step explanation:
the answer is D
hope this helped :)
Mimi and her friend went to the Burger Barn for lunch. Their bill
totaled $24.68. They left a 15% tip for their waitress. How much
tin did they leave
Answers
Answer:
they tipped = 15% of 24.68 = 15/100*24.68 = 3.702
Step-by-step explanation:
Answer:
Tip: $3.70
Total: $28.38
Step-by-step explanation:
bill: $24.68
tip: 0.15 * 24.68 = $3.70
Total: 24.68 + 3.70 = $28.38
A line passes through the points (4-3) and (0,0). What is the slope of the line?
Answers
Answer:
-0.75
Step-by-step explanation:
Answer:
Its -0.75
Step-by-step explanation:
give brainlest to other guy
Can someone please explain to me how to get the answer for the question is the picture? I don't get it at all, and the internet isn't helping. Please explain the way you got the answer
Answers
Answer:
The original price of the item is $28.
Step-by-step explanation:
So to find the original price, we have to divide the sale price by the result of one minus the discount in percentage form.
So:
First convert 25% to a decimal, 0.25.
OP(original price) = 21 ÷ 1 - 0.25 =
1 - 0.25 = 0.75
21 ÷ 0.75 = 28.
write the slope intercept form of an equation for the line passing through the following two points: (-2,8) and (-4,-4)
Answers
Answer:
y=6x+20
Step-by-step explanation:
m= y2-y1/x2-x1
m= -4-8/-4-(-2)= 12/-2= 6/1
y= mx+b
y= 6x+b
8= 6(-2)+b
8=-12+b
+12 +12
b= 20
Give the property that justifies each step.
Answers
Answer:
Please check the explanation below.
Step-by-step explanation:
Some of the properties are defined as:
Distributive property[tex]a(b+c) = ab+ac[/tex]
For example,
suppose a=3, b=4, c=5
3(4+5) = 3(4) + 3(5)
3(9) = 12+15
27 = 27
Subtraction property of Equalityif (a=b), then a-c = b-c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a-c = b-c ⇒ 2-5 = 2- 5 ⇒ -3 = -3
Addition property of Equalityif (a=b), then a+c = b+c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a+c = b+c ⇒ 2+3 = 2+3 ⇒ 5 = 5
Multiplicative property of Equalityif (a=b), then a×c = b×c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a×c = b×c ⇒ 2×5 = 2 × 5 ⇒ 10 = 10
Division property of Equalityif (a=b), then a÷c = b÷c
For example,
suppose a=2, b=2, c=5
if a = b ⇒ 2 = 2
then a÷c = b÷c ⇒ 2÷5 = 2 ÷ 3 ⇒ 2/5 = 2/5
Let us solve the given equation using the above properties.
7n-16=47 Given
7n-16+16=47+16 1) Addtion property of Equality ∵ if (a=b), then a+c = b+c
7n=63 2) simplify
n = 9 3) Division property of Equality ∵ if (a=b), then a÷c = b÷c