Answer:
Step-by-step explanation:
First, find the slope using the two given points and the slope equation.
[tex]m=\frac{y2-y1}{x2-x1}=\frac{17-8}{19-10}=\frac{9}{9}=1[/tex]
We can enter [tex]m[/tex] into our slope-intercept form now.
[tex]y=mx+b\\y=1x+b\\y=x+b[/tex]
Now, plug in one of the given points to solve for b.
[tex]8=10+b\\b=-2[/tex]
So our final form is:
[tex]y=x-2[/tex]
Hope this helps!
The equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
What is the general equation of a straight line?The general equation or the slope - intercept form of a straight line is -
y = mx + c
Where -
[m] is the slope of the line.
[c] is the y - intercept.
Given is a line such that points (10, 8) and (19, 17) lie on this line.
The given coordinates are (10, 8) and (19, 17).
First, we will find the slope of the line as follows -
m = (17 - 8)/(19 - 10)
m = 9/9
m = 1
So, the equation of the line will be -
y = x + c
Now, we will find the y - intercept. As the line pass through the point
(10, 8), we can write -
8 = 10 + c
c = 8 - 10
c = -2
So, the equation of the line will be y = x - 2.
Therefore, the equation of the line passing through the points (10, 8) and (19, 17) is y = x - 2.
To solve more questions on straight line, visit the link below-
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Given the equation y= X+ 9, what is the y-intercept?
A.-1/2
B.9
C.1/2
D.-9
Answer:
B
Step-by-step explanation:
9 is where you graph it first, to start your line. this would mean that it is B
which expression is equivalent to 1/4m + 3/4m-3/8(m+1)?
Answer:
5/8m - 3/8
Step-by-step explanation:
1/4 m + 3/4 m - 3/8m - 3/8
to combine m’s, change 1/4 to 2/8. And 3/4 to 6/8.
2/8 m + 6/8m - 3/8 m - 3/8
2/8+ 6/8- 3/8= 5/8
5/8m - 3/8
Which function represents the sequence -5.5, -4.75 -4,-3.25... ?
Order the following numbers from least to greatest (15 Pts)
Answer:
-5.1 , -14/3, -4
Step-by-step explanation:
In the negative side of the numberline -5 is lesser than -14/3 and -4.
Also -14/3 is aproximatedly -4. 6. so its less than -4
Answer:
1. -5.1
2. - 14/3
3. -4
Explanation:
- 14/3 is equal to -4.6 repeating. We can check this by dividing 14 by 3 and adding the negative sign. So -4 is the greatest number of the numbers, and -5.1 is the least since it is the most of the negative numbers. - 14/3 would go in the middle because it isn't greater than -4 nor less than -5.1.
Hope this helps!
I hope I explained well!
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper. The scatter plot shows the data he gathered and the line of best fit.
The equation of the line of best fit is y = 70.28x + 425.77.
Based on the line of best fit, approximately how many minutes would a student who consults 3 books spend on a research paper?
211
372
496
637
The student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
What is the line of best fit?A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.
[tex]\rm m = \dfrac{n\sum xy-\sum x \sum y}{n\sum x^2 - (\sum x)^2}\\\\\\\rm c = \dfrac{\sum y -m \sum x}{n}[/tex]
We have:
Kevin gathered data from his classmates about the number of books they consulted and the total time they spent on a research paper.
The line of best fit is:
y = 70.28x + 425.77
Plug x = 3 in the line of best fit:
y = 70.28(3) + 425.77
y = 21.084 + 425.77
y = 636.61 minutes ≈ 637 minutes
Thus, the student who consults 3 books spends 637 minutes on a research paper based on the line of best fit if the equation of the line of best fit is y = 70.28x + 425.77 option (D) is correct.
Learn more about the line of best fit here:
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find the x in the given triangle, step by step explanation please
Answer:
x = 42.67
Step-by-step explanation:
x + 2x + 7 + 45 = (3 - 2) * 180
3x + 52 = 180
- 52 - 52
3x = 128
/ 3 / 3
x = 42.67
The sum of the two sides of a right angle is 16 cm. What is the length of each of the
two sides if the square of the hypotenuse is a minimum?
Answer:
4/15~15.5
Step-by-step explanation:
In a right triangle, the sum of the squares of the
lengths of the legs is equal to the square of the length
of the hypotenuse. The length of the hypotenuse is 16
and the lengths of the legs are 4 and x.
3
There are 900 students in a school.
47% of the 900 students are girls.
Work out the number of girls in the school.
Bridget's Café has a regular coffee decaffeinated coffee . This morning the cafe served 80 count coffee’s and all 48 which were regular what percentage of a coffee were regular
9514 1404 393
Answer:
60%
Step-by-step explanation:
Assuming your problem statement is saying that 48 of 80 coffees served were regular, that percentage is ...
48/80 × 100% = 60%
60% of the 80 coffees served were regular.
I need help with number 20 please help!!!
exposed clout chaser
HELP ME PLEASE!!!
Martha states that –6 is a rational number. Which is a correct explanation for this statement?
The number –6 is the opposite of 6.
The number –6 is a negative integer.
The number –6 can be written as -6/1.
The number –6 is less than 0.
what is the answer?
Answer:
A S A
Step-by-step explanation:
In ΔACE & ΔBCD,
∠A ≅ ∠B {Given} Angle
AC = BC {Given} Side
∠ACE = ∠BCD { Reflexive property} Angle
ΔACE ≅ ΔBCD ------>A S A Property
if the scientific notation is 6.1x10^4 what would it look like in standard form? MARKING BRANLIEST!!!!
Answer:
61,000
Step-by-step explanation:
Move it 4 places to the right.
Annika sells 6 inch pies for $5.00 and 8 inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8 inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8 inch pies she sold. She wrote the system below.
6 x + 8 y = 133. 2 x = y.
Which statements about the system are true? Check all that apply.
Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.
Since the 8 inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8 inch pies, the second equation should be x = 2 y to balance the values.
The first equation is correct because 6x represents the money earned for 6 inch pies and 8y represents the money earned for 8 inch pies.
The second equation is correct because there are more 6 inch pies and 2 times a number is always more.
Answer:
See below!
Step-by-step explanation:
Only the first choice is accurate.
The second choice is incorrect since it doesn't accurately represent the situation described.
The third choice is incorrect since it also doesn't accurately represent the situation described.
The fourth choice is incorrect since the equation is meant to show the cost of the pies, not the size.
While the fifth choice is correct in that the second equation is accurate, the reasoning is inaccurate.
Answer
Only option 1 is correct
The following table shows the expressions that represent the sales of two companies:
Company: А B
Sales: 110(0.70)^x 430(1.90)^x
Which company has the largest percent of increase?
-Company A
-Company B
-Both Company A and Company B
-Neither Company A nor Company B
9514 1404 393
Answer:
company B
Step-by-step explanation:
The growth rate is 1 less than the growth factor. The growth factor is the base of the exponential term.
Company A
growth factor: 0.70
growth rate: 0.70 -1 = -0.30 = -30%
__
Company B
growth factor: 1.90
growth rate: 1.90 -1 = 0.90 = 90%
__
Company B has a higher growth rate than Company A. (Company A has decreasing sales, not increasing.)
Company B has a higher growth rate than Company A.
Hellppppp plzzz I’m bad at math-
Graph the line that passes through the points (3,-4) and (3,-1) and determine
the equation of the line.
Answer:
The equation of a line:
x = 3The graph of the line is attached below.
Step-by-step explanation:
Given the points
(3, -4)(3, -1)Finding the slope between (3,-4) and (3,-1)
(x₁, y₁) = (3,-4)
(x₂, y₂) = (3, -1)
Using the slope formula
m = y₂-y₁ / x₂-x₁
= -1-(-4)) / 3 - 3
= -1 + 4 / 0
m = ∞
The slope of the line is undefined, then, by definition, the line would be a vertical line.
As the line that passes through the points (3,-4) and (3,-1)
For a vertical line, the value of x is the same for each and every value of y.Thus, the equation of a line:
x = 3The graph of the line is attached below.
Write an equivalent expression to 2x-1/2 - 4x + 4/3
Answer:
-4x+5/3
Step-by-step explanation:
-2x+5/6
multiply by 2
-4x+5/3
you can also check by plugging in a number for x and see if the answer is the same.
Write the expression below in standard form.
3h - 2 (1 + 4h)
Answer:
-5h-2 I think this is the answer.
Step-by-step explanation:
What are all equivalent expressions to 4w+7w
Answer: 11w
Step-by-step explanation: you can add 4w and 7w since they both have the variable w.
Which statement best represents the distance on a number line between -14 and -5?
Answer:
C my dude. have a merry christmassss
Answer:
A
Step-by-step explanation:
Both are negative, and largest is always first.
Please help me with this question I need the answer
Answer:
I think the answer is A
Step-by-step explanation:
Answer:
First of all A and B are Letters not numbers...
Answer: a-b
Step-by-step explanation:
Find the inequality represented by the graph - khan academy
PLEASE HELP
Answer:
y ≤ x - 1
Step-by-step explanation:
The slope is 1 (every unit for x, there is a unit for y, rise/run is 1/1). The y-intercept is -1, because the line crosses the y-axis at -1. The graph is shaded below the line, and the line is solid, meaning that y is less than or equal to x -1, or y ≤ x - 1.
Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20
Answer:
Ameliorate retort, pertaining to reinstating interrogate is B., -12.
Step-by-step explanation:
Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:
Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.
*Hope this helps.
Rewrite y= 16X+64 +3 to make it easy to graph using a translation. Describe the graph.
Answer:
C
Step-by-step explanation:
Help look at picture attached I will mark brainliest
Answer:
angle 3=145
Step-by-step explanation:
1 is complementary meaning add up to 90 so if 1 is 55 then 90-55=35. m<2=35
if 2 and 3 is supplementary meaning adds up to 180 then 180-35=145
A set of 4 consecutive integers adds up to 250. Which integers are they?
The set of 4 consecutive integers that add up to 250 are 61, 62, 63, and 64.
61 + 62 + 63 + 64 = 250
Answer:
61 , 62 ,63 , 64
Write a linear function f with f(0)=3 and f(−6)=3.
f(x)=
Answer:
y = 3
Step-by-step explanation:
The equation of a line is;
y = mx + c
Now, when f(0) = 3, it means at x = 0, y = 3.
Thus;
3 = 0 + c
3 = c
Also, f(−6) = 3
Thus;
3 = -6m + 3
6m = 3 - 3
6m = 0
m = 0/6
m = 0
Thus,equation is;
y = c
y = 3
A student is writing a research paper and must include sources from both magazines and books.
The student is required to have at least 15 sources.
• At least 6 sources must be magazines, m.
• No more than 7 sources can be books, b.
Which set of inequalities best represents the constraints on the number of sources for the research paper ?
m2 6
b20
m+bs 15
m>O
m+b 13
m+bs 15
m2 6
0
m + b 2 15
0< ms 6
db27
m+bs 15
No