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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The diameter of a wheel of a car is 0.75 m. if the car travels at an average speed of 14 m/s, find the
number of revolutions made by the wheel per minute, giving your answer correct to the nearest
whole number.
Step-by-step explanation:
Circumference of wheel = πd = 0.75πm.
How far the car travels per minute
= 60s * (14m/s) = 840m.
Hence number of revolutions per minute
= 840m / 0.75πm
= 356.507....
= 357. (nearest whole number)
HELP ASAP WILL MARK BRAINLIEST
Find the equation of the line that is perpendicular to the given line and passes through the given point. Enter your answer in slope-intercept form (y = mx + b) with the values of m and b given as decimals, rounded to the nearest hundredth if necessary.
y = 2x ; (5, −5)
The equation is y = .
Hope this works, let me know if you didn't understand it
Answer:
the y is y=mx+b
Step-by-step explanation:
if this helps say also have a brillint day
What is 11/12 divided by 1/3?
Answer:
2.75
Step-by-step explanation:
Answer: 2 3/4
Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes
11/12×3/1=?
By multiplying this, you get 11/4. This simplifies to 2 3/4
NEED HELP ASAP PLEASEE
Answer:
can u make a more clear picture ?
Step-by-step explanation:
Complete the inequality with >, <, or =.
72 _____ 34
Answer:
>
Step-by-step explanation:
which ever the arrow is opening up to, is the greater number bro
How is a rate simile do different from a ratio?
ahhahanvm? shushaha bruh what do i do
\u gotta ask ur question
Step-by-step explanation:
Use the unit circle to find the point (x,y) that corresponds to the real number t
Step-by-step explanation:
I hope its help you
In one game of basketball Henry scored 24 points.
How many points would Henry score if he played 3 games of
basketball?
Answer:
72
Step-by-step explanation:
24 x 3 = 72 just like the problem.
Which input value produces the same output value for
the two functions?
O x=-12
O x=9
O x=-6
Ox=-3
Answer:
-6
Step-by-step explanation:
Took test
At x = -6, both functions have the same output of 3.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, We get;
f(x) = 2/3x + 7
when x = -12;
= 2/3(-12) + 7
= -8 + 7
= -1
g(x) = 2x + 15....
when x = -12
= 2(-12) + 15
= -24 + 15
= - 9
When x = -9;
f(x) = 2/3(-9) + 7 g(x) = 2(-9) + 15
= -6 + 7 = -18 + 15
= 1 = -3
When x = -6;
f(x) = 2/3(-6) + 7 g(x) = 2(-6) + 15
= -4 + 7 = -12 + 15
= 3 = 3
Thus, At x = -6, both functions have the same output of 3.
Learn more about the function visit:
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Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation. What does the graph show?
Answer:
1) The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Please find attached the required graph of the two inequalities ,created with Microsoft Excel
2) The graph of inequality shows that Larissa cannot to make less than 10 loafs of bread and sell them for over $24 at the given prices of each loaf of bread
Step-by-step explanation:
1) The maximum number of loaves Larissa plans to make = 10
The price at which she sells each of x loaves of banana bread = $1.25
The price at which she sells each of y loaves of nut bread = $1.50
The total amount she hopes to make = $24
The system of inequalities are;
x × 1.25 + y × 1.5 ≥ 24
x + y ≤ 10
Making y the subject of both inequalities gives;
For the first inequality, we have,
y ≥ 24/1.5 - 1.25/1.5·x which gives;
y ≥ 16 - 5/6·x
For the second inequality, we have,
y ≤ 10 - x
Please find attached the required graph of the two inequalities
2) From the attached graph of inequality, created with Microsoft Excel, it shows that it is not possible for Larissa to make less than 10 loafs of bread and at the same time sell them for over $24 if the price of each banana bread is $1.25 and the price of each nut bread is $1.50.
Suppose you want to buy one pair of pants and several pairs of socks.
The pants cost $24.95, and the socks are $5.95 per pair. How many
pairs of socks can you buy if you have $50.00 to spend?
Answer:
8
Step-by-step explanation:
50/5.95
Triangle ABC has an altitude AH that lies in the exterior of the triangle which of the following could be true about this figure
Answer:
In triangle ABC, angle B is obtuse.
Step-by-step explanation:
The type of triangle is obtuse, angle A and C are acute, angle B is obtuse.
A number line going from negative 1 to positive 1 in increments of 1. There are 5 equal spaces between each number. Select all the statements that are true. –1 is less than Negative StartFraction 4 Over 5 EndFraction. –0.3 is less than One-fifth. 0.6 is greater than 1. 0 is greater than –0.5. Negative three-fifths is equal to –0.6.
Answer:
–1 is less than Negative StartFraction 4 Over 5 EndFraction
Step-by-step explanation:
Number line from - 1 to + 1 in Increment of 1 ; with 5 equal spaces between each number ;
–0.3 is less than One-fifth
0 is greater than –0.5
Negative three-fifths is equal to –0.6
Number line :
-1 to 0 to 1
-1, - 0.8, - 0.6, - 0.4, - 0.2, 0, 0.2, 0.4, 0.6, 0.8, 1
–1 is less than Negative StartFraction 4 Over 5 EndFraction : - 1 < - 0.8 (true)
–0.3 is less than One-fifth : - 0.3 < 0.2 (true)
0.6 is greater than 1 ( false)
0 is greater than –0.5 (true)
Negative three-fifths is equal to –0.6; - 0.6 = - 0.6 ( true)
Answer:
The answer is A B D E
Step-by-step explanation:
Create an expression that would represent the area of the triangle
Answer:
96cm
Step-by-step explanation:
A=1/2bxh (Area=BasexHeight) is the formula to find it.
A=1/2x192
A=96
Write an equation to represent the following description "fourteen less than 8 times a number is -11
Answer:
(8 * x) -14 = -11
Step-by-step explanation:
* = multiply sign (i didnt want to put "x" as the multiply sign since "x" is already being used) ( mightve confused you with 2 "x"s in the parenthesis.
x = the number that is missing being multiplied by 8
I put "8" multiplied by "x" in parenthesis since you do parenthesis first in an equation.
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
Answer:
Proportional
Step-by-step explanation:
It's evenly spaced, and if all ratios are simplified, they will all come out the same.(It's in a straight line and not scattered all over).
e - i = 5
e + 3i = 9
e value =
i value =
What is the answer
Answer:
e value = 6
i value = 1
Step-by-step explanation:
The system of equation are;
e - i = 5...(1)
e + 3·i = 9...(2)
Making e the subject of equations (1) and substituting the value of e equation (2) gives;
From equation (1), e - i = 5, we have, e = 5 + i
Substituting the value of e in equation (2), e + 3·i = 9 gives;
e + 3·i = (5 + i) + 3·i = 5 + 4·i = 9
4·i = 9 - 5 = 4
i = 4/4 = 1
i = 1
From e = 5 + i, we have;
e = 5 + i = 5 + 1 = 6
e = 6
Therefore;
e value = 6
i value = 1
the table represents the points on the graph of a linear function. Which of the following equations best represents the data in the table?
9514 1404 393
Answer:
f(x) = 3x +5
Step-by-step explanation:
The x-values change by 1 from the first line to the second.
The y-values change by -13-(-16) = 3 from the first line to the second.
Then the "rate of change" is ∆y/∆x = 3/1 = 3. This will be the coefficient of x in the equation. The last choice is appropriate:
f(x) = 3x + 5
Please give an answer this question is worth 20 points on my test
Find the equation for each line.
What’s the answer I need help!!
Answer:
150
Step-by-step explanation:
add three x plus 30 get 30 then add 6y plus 120 and get 120 add them and get 150
a car was purchased last year for $28,500. now its value is $25,510. at what rate is the car's value depreciating each year?
Answer:
The car's value is depreciating by $2,990 per year.
Step-by-step explanation:
To solve this problem, we just need to subtract the cars value this year, or $25,510, from the car value of last year, or $28,500.
28,500 - 25,510 = $2,990
Since the car value was $2,990 more just last year, the car's value is depreciating by $2,990 per year.
Hope this helps! :D
Someone please help I’m going to fail my class
It okay talk a deep breath and focus relax.
Have a great day and don't worry:)
Plz help❤️Urgently plz
Answer:
do a better pic
Step-by-step explanation:
please help i really don't understand
Answer:
3.75
Step-by-step explanation:
That is the decimal
Answer:
it's D
Step-by-step explanation:
if you were to divide the numerator by the denominator you would get 0.26 and the 6 is repeating
How do you do an area model of 15 times 11
Please only answer if you know
Answer:
A, C
Step-by-step explanation:
A.)
32 / 8 * 5.25 ----> 4 * 5.25 ----> 21
C.)
4 * 12.5 / 2----> 49 / 2 ----> 24.5
Answer:
between 20 & 30?
A & C
Step-by-step explanation:
A) 32 / 8 * 5.25 = 21
B) -18 / 6 * 9 = -27
C) 4 * 12.5 / 2 = 25
D) 12 * 4[tex]\frac{1}{3}[/tex] / -2 = -26
five and six eights + four and 4 fiths please answer ill give 10 points
Answer:
29/5
Step-by-step explanation:
Answer:
10 11/20
Step-by-step explanation:
ten and eleven twentieths
Which range contains the value of sqrt(25-4+16)?
A. Between 6.0and 6.2
B. Between 6.9 and 7.1
C. Between 2.1 and 2.3
D. Between 18.4 and 18.6
Answer:
I wanna say C. But I'm not exactly sure.
Step-by-step explanation:
I hope it's right :(