A line goes through the points (8,11) and (-2,7). What is the slope of the line? Show your work. Write the equation of the line in point-slope form. Show your work. Write the equation of the line in slope-intercept form. Show your work.
Answer:
Step-by-step explanation:
could someone please help me on one of these and explian to me too? plz show work
Answer:
3) rate of change = -5/4
4) rate of change = 3
5) rate of change = 1
6) steepest slope = #4
7) Please see the attached graph and explanation below
8) Please see the attached graph and explanation below
Step-by-step explanation:
Note:I will do questions 3, 4, 6, 7, and 8, and will let you work on question 5 (since it involves the same process of solving for the rate of change as questions 3 and 4). However, the rate of change for question 5 is 1.
3) Calculate the Rate of Change from the Graph:The rate of change is essentially the same as the slope of a linear equation, where it represents the ratio of a change in y to a corresponding change in x.
In order to solve for the rate of change, choose two points from the given graph.
Let (x₁, y₁) = (0, 200)
(x₂, y₂) = (80, 100)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
m = (100 - 200)/(80 - 0)
m = -100/80
Reduce to lowest terms by dividing the numerator and the denominator by 20/20:
m = -5/4
Therefore, the rate of change is -5/4.
4) Calculate the Rate of Change from the Table:Similar to what we did in question 3, choose two ordered pairs from the given table:
Let (x₁, y₁) = (0, -1)
(x₂, y₂) = (3, 8)
Substitute these values into the following slope formula:
m = (y₂ - y₁)/(x₂ - x₁)
[tex]m = \frac{8 - (-1)}{3 - 0}[/tex]
[tex]m = \frac{8 + 1 }{3}[/tex]
[tex]m = \frac{9}{3}[/tex]
m = 3
Therefore, the rate of change from the given table is 3.
6) Which linear function has the steepest slope?The positive-sloped lines whose rate of change has the highest value will have the steepest slope. For lines with negative slopes (downward-tilting lines), the highest absolute value for its rate of change will have the steepest negative slope.
Hence, the linear function with the steepest slope is #4 because the value of y changes by 3 units for every unit of change in x values.
7) Graph the equation: y = -6x - 4:The linear equation, y = -6x - 4, where the slope, m = -6, and the y-intercept is (0, -4).
To graph this equation, start by plotting the y-intercept. Then, use the slope, m = -6/1 (down 6 units, run 1 unit to the right) to plot other points on the graph. In doing so, your next graph should occur at point, (1, -10). Connect the two points to create a line that will represent the given equation, y = -6x - 4.Technically, two points are sufficient enough to connect and create a line with. Please see the attached screenshot of the graph for y = -6x - 4.
8) Graph the following equation: 3x - 4y = 12The given linear equation is in its standard form, Ax + By = C. It is easier to graph when the equation is in its slope-intercept form, y = mx + b.
In order to transform the given standard equation to slope-intercept form, start by subtracting 3x from both sides:
3x - 4y = 12
3x -3x - 4y = -3x + 12
-4y = -3x + 12
Divide both sides by -4 to isolate y:
[tex]\frac{-4y}{-4} = \frac{-3x + 12}{-4}[/tex]
y = ¾x - 3 ⇒ This is the slope-intercept form where the slope, m = ¾, and the y-intercept is (0, -3).
Graph:Similar to how we graphed the equation from question 7, start by plotting the y-intercept (0, -3) on the graph. Then, use the slope, m = ¾ (3 units up, 4 units run), to plot other points on the graph. Your next point occurs at the x-intercept, (4, 0). The x-intercept is the point on the graph where it crosses the x-axis. Connect the two points to create a line that will represent the given equation, 3x - 4y = 12.
Please see the attached screenshot of the graph for 3x - 4y = 12.
Two people agree to meet at a given time, but they are both late. the amount of time that they are late is a random variables uniformly distributed between 0 and 10, in minutes. Additionally, the amounts of time they are late are independent. Compute the probability that the person who arrives first will wait more than two minute for the other.
The cost to rent a moving truck is a flat fee of $25 plus $0. 60 per mile. The equation c = 25 0. 6m models the cost, c, in dollars for the number of miles, m, traveled in the truck. Identify the independent and dependent variables. The is the independent variable. The is the dependent variable.
Answer:
Independent variable = m
dependent variable = c
Step-by-step explanation:
c = 25 + 0.6m
where,
m = number of miles
c = total cost of rent
Malachi is shopping for toothbrushes. He can buy a package of 2 for $3.48 or a package of 4 for $6.60. Which is a better buy?
Group of answer choices
The package of 4 is a better buy.
The package of 2 is a better buy.
They are the same.
Factorizing by grouping
xy + 2x + 3y + 6
Answer:
(x+3)(y+2)
Step-by-step explanation:
(xy+2x)+(3y+6)
x(y+2)+3(y+2)
(x+3)(y+2)
In which quadrant is the number –14 – 5i located on the complex plane?
I
II
III
IV
In which quadrant is the number –14 – 5i located on the complex plane? I II III IV
Answer:
III
Step-by-step explanation:
go 14 left and 5 down, and you're in the third quadrant
Answer:
III (Third quadrant)
Step-by-step explanation:
Okay, in terms of complex numbers, the x axis is the imaginary scale while the y axis is the real scale. And this works just like a normal x and y axis! We can break down -14-5i into -5i and -14, and -5i is the imaginary number on the x axis, so we move five units to the left from the origin. -14 is the real number, so we then move down 14 units, and we end up with a coordinate that is in the III, or third, quadrant. Hope this helps! :)
mrs peele has 11 1/4 pounds of cookie dough a batch of cookies requires 2 1/2 of cookie dough how many batchesof cookie dough can mrs peele make
Answer:
4.5 lbs
Step-by-step explanation:
just divide 11.25 by 2.5
find the common denominator
7/8
3/10
7/10
2/3
Answer:
240
Step-by-step explanation:
To find a common denominator, you have to find a number that is a multiple of all the denominators there. So with 240, 240 divide 3 is 80, so that's a multiple, 240 divide 8 is 30, so that is also a common multiple, and 240 divide 10 is 24, so that is also a common multiple.
You have a rectangular piece of fabric with side lengths of 7 inches and 4 inches. What is the area of the biggest possible square you can cut from this fabric?
Answer:
If you were to cut it in half (3.5 x 2)
The answer would be 7
Step-by-step explanation:
I will give brainliest
Answer:
His average monthly payment is $730.83
Step-by-step explanation:
700+650+750+760+785+880+700+725+700+750+720+650=8,770
8,770/12 = 730.83
Can some one help me with this simple project GIVING EXTRA BRAINLIST!!!!
Okay,
Im not going to do the project because you draw that but, ill give an online overview of ur "project."
Make x the subject of the formula
dx - t = 8
Answer:
x = (8+t)/d
Step-by-step explanation:
Since you want to make x the subject of the formula, you would want it along. so you should move the t to the other side, which will get you dx = 8+t, then you will have to divide both sides by d to get the x along, and in this case, you will get x = (8+t)/d
The given formula can be written as x = (8 + t)/d.
What is a linear equation?A linear equation in two variable has the general form as y = ax + by + c, where a, b and c are integers and a, b ≠ 0.
It can be represented as a straight line on a graph.
The given formula is as below,
dx - t = 8
Since, it is a linear equation with variable x. It can be rewritten as follows,
dx - t = 8
=> dx = 8 + t
=> x = (8 + t)/d
Hence, by making x as the subject the given formula becomes as x = (8 + t)/d.
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very time Luisa bakes a batch of brownies, she uses 12 cup of chocolate. If she has 32 cup(s) of chocolate remaining, how many batches of brownies can Luisa make? Input your answer as a whole number
Answer:
4
Step-by-step explanation:
Answer:she can make 4 batches of brownies
Step-by-step explanation:
since she already made a batch of brownie with 1/2 cup and she has 3/2 cups left, that means she can make 3 more
3+1=4
hope this helps
Step-by-step explanation:
Also try searching you question in brainly some of these questions are asked and answered
How did the Twenty-fourth Amendment to the Constitution affect African Americans?
A. By defining citizenship, it meant all African Americans were entitled to due process.
B. By allowing citizens to directly elect senators, it gave African Americans a greater voice in the government.
C. By banning slavery, it meant millions of African Americans were free from bondage.
D. By eliminating poll taxes, it meant more African Americans could vote.
Answer:
The answer is D,..................
Step-by-step explanation:
D
If A={s, t, a, r} and B={m, a, t, h}, find A ∩ B.
A ∩ B = { t,a }
This is because it is asked to find the common elements present in both sets.
We need to write only the same elements present in both sets.
Therefore, A ∩ B = { t,a } is the answer.
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Answered by Benjemin ✍️
In Jackie’s math class, there are 51 students and one-third of the class is boys. How many girls are there in Jackie’s math class?
Answer:
34 boys
Step-by-step explanation:
you divide 51 by 3 which gets yOU 17 and then you subtract 17 by 51 which gets you 34
please help 100 pnts brainlist
Answer:
The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr
Step-by-step explanation:
We are given i = prt, where p is the principal, r is the interest rate as a decimal fraction, and t is the time in years.
We first solve i = prt for p. To accomplish this, divide both sides by rt, which results in:
i p
----- = -----
rt 1
Here we substitute $14,400 for p, 0.08 for r and 30 for t.
We get the following expression for p:
$14,400
p = ----------------- = $6,000
(0.08)(30)
The principal is $6,000 when i = $14,400, r = 0.08 and t = 30 yr
Answer:
6000
Step-by-step explanation:
14,400= .08 x 30 x p , .08 x 30 = 2.4, so divide 14,400 by 2.4 and you get 6000
What is a unit rate?
What are the steps for
finding a unit rate?
Each 12-ounce bottle of
shampoo cost $2.15.
What is the cost
per ounce?
Answer all please
Answer:
1. Cost of a quantity of 1.
2. Divide the cost by quantity.
3. $0.18 per ounce
work: 2.15 / 12 = 0.1791666666666 and round
Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Answer: Mika can eat 21 hot dogs in 6 minutes. She wants to know how many minutes it would take her to eat
35 hot dogs if she can keep up the same pace.
Step-by-step explanation: Hope I am right.
write any four means by which chemical action may be induced
Answer:
See below
Step-by-step explanation:
1. Addition of the second reagent when the reaction is spontaneous (It will proceed on its own with no additional stimulus).
2. Addition or subtraction of energy (heat, light, electricity, etc) for endothermic and exothermic reactions
3. Addition of a reaction site (catalyst)
4. I can't think of a fourth, but would suggest that #2 be broken into individual categories:
a. Addition of heat,
b. Exposure to light,
c. Addition of electrons (batteries or electrical power), and
d. Removal of energy for exothermic reactions
Tom is three years older than his brother Tim. The sum of their ages is 79 How old will Tim be in five years?
Answer:
Tom is 43yo and Tim is 36
Tim will be 41 in 5 years.
Step-by-step explanation:
Celeste wants to have her hair cut and permed and also go to lunch. She knows she will need $68. The perm costs twice as much as her haircut and she needs $5 for lunch .
Answer:
42 dollars
Step-by-step explanation:
2h+h+5=68
3h+5=68
3h=63 divided by 3
21*2=$42
A student solved a system of equations by elimination. The answer is not correct. Describe the error in the solution.
Original Problem:
3x−2y=8
x+y=2
Student Work:
3x−2y=8
2x+2y=2
5x=10
x=2
The student went from x+y = 2 to 2x+2y = 2, which is not correct. They multiplied the left side by 2, but forgot about the right hand side.
They should have gone from x+y = 2 to 2x+2y = 4 after multiplying both sides by 2.
So they should have this new equivalent system
[tex]\begin{cases}3x-2y = 8\\2x+2y = 4\end{cases}[/tex]
Add straight down and we end up with the new equation 5x = 12 which solves to x = 12/5 = 2.4
Use that x value to solve for y. You should get y = -2/5 = -0.4
Trigonometry:
Find the value of θ
Answer:
θ ≈ 50.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cosθ = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{61}{95}[/tex] , then
θ = [tex]cos^{-1}[/tex] ( [tex]\frac{61}{95}[/tex] ) ≈ 50.1° ( to the nearest tenth )
-9+(-14)=??
please help!
Answer:
-23
Step-by-step explanation:
What is the measure of the angle?
9514 1404 393
Answer:
d. 32°
Step-by-step explanation:
Vertical angles are congruent, so ...
5x +2 = x +26
4x = 24
x = 6
(x +26)° = (6+26)° = 32°
The measure of the angle is 32°.
_____
Additional comment
Vertical angles share a vertex. This means B and E are two names for the same point.
Brenna found 10% of 60. Her work is shown below.
10% of 60 = (60 = 2) = 30
O No. Brenna should have divided by 4 to find 10%.
No. She should have divided by 10 to find 10%.
O No. She should have multiplied by 10 to find 10%.
O Yes. Brenna did not make an error.
Answer: She should have divided by 10 to find 10% of 60 because percent in latin means per centum which means for 100 or per each 100 and dividing by 10 means that the result times 10 equals the original number, so you would need to divide by 10.
Step-by-step explanation:
m-(-584)=866 simplified
Answer:
282 thats what i got
Step-by-step explanation:
Answer:
m = 282
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
m + 584 = 866
Step 2: Subtract 584 from both sides.
m + 584 (−584) = 866 (−584)
m = 282
Carlos is digging a pond in his backyard as shown. The area of the
rectangular backyard is 6x + 14x - 12 square yards. The circular pond will
cover an area of 3x? - 4x + 5 square yards. Which expression represents the
area of the gray region, the area of the land remaining in the backyard?
Please answer!!!!
The expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards. The correct option is B.
The area of the gray region is the area of the rectangular backyard minus the area of the circular pond.
The area of the rectangular backyard is given as 6x+14x-12 square yards, which simplifies to 20x-12 square yards.
The area of the circular pond is given as 3x²-4x+5 square yards.
So, the area of the gray region is:
(20x-12) - (3x²-4x+5)
= 20x-12 - 3x²+4x-5
= 3x²+10x-17
Therefore, the expression that represents the area of the gray region, the area of the land remaining in the backyard is 3x²+10x-17 square yards.
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