the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of any straight line, we simply need two points off of it, let's use the ones from the picture below.
[tex](\stackrel{x_1}{12}~,~\stackrel{y_1}{90})\qquad (\stackrel{x_2}{24}~,~\stackrel{y_2}{96}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{96}-\stackrel{y1}{90}}}{\underset{\textit{\large run}} {\underset{x_2}{24}-\underset{x_1}{12}}} \implies \cfrac{ 6 }{ 12 } \implies \cfrac{\stackrel{degree}{1} }{ \underset{day}{2} }\implies 0.5~\frac{degree}{day}[/tex]
What is the range of this data set?
1
2
3
4
Answer:
4
Step-by-step explanation:
the lowest point is 1
the highest point is 5
5-1
4
Answer:
probably the lowest point
or
A pizza restaurant used its final 2/3 of a liter of pizza sauce to make some pizzas. They put 1/6 of a liter of sauce on each pizza. How many pizzas did they make?
Write your answer as a fraction or as a whole or mixed number.
Answer:
4
Step-by-step explanation:
1/6x = 2/3 Multiply each sides by 6
x = [tex]\frac{2}{3}[/tex] x [tex]\frac{6}{1}[/tex]
x = 4
Answer:
Step-by-step explanation:
if they used 1 liter of sauce on each pizza, it would be 1x=2/3.
So if we use this for 1/6 of a liter of sauce on each pizza…
(x is the number of pizza’s they make.)
= [tex]\frac{1}{6}[/tex]х=[tex]\frac{2}{3}[/tex]
x6 on both sides
= 1x=9
Therefore, the pizza restruant made 9 pizzas.
Can you solve this for me? Thanks! :>
Answer:
101
Step-by-step explanation:
first you can either add 45+38=83 and subtract that from 184 or subtract 184-38, then that minus 45 for an answer of 101
what is a expression for 3 fewer than 18
as in like a-b stuff bc i forgot ☠
Answer:
18-3
It should be 18-3 since that's the only way to write it as an expression. If you want to add a variable, the answer would be something like x=18-3 or x+3=18, which is not an expression..
Step-by-step explanation:
It asks for an expression for 3 fewer than 18. Since it is an expression, you should not include any equal signs, thus the only possible answer would be 18-3.
Answer:
18-3
Step-by-step explanation:
The required expression is 18-3 (The given phrase is '3 fewer than 18')
We need to find the algebraic expressions for the given phrase.
Algebraic expressions:
The algebraic expressions for the phrase "a fewer than b" is:
b - a
Similarly, the algebraic expressions for the phrase "3 fewer than 18" is:
18 - 3 (18 being b and 3 being a)
This means that our expression is 18 - 3 because that's the only way this is possible. You can add other things (like complicate it/ turn it into a 'find a' algebra question or a linear equation, I gave an example below- not the best i know but its like 1 am and I can't lol) like:
Find x: 18 - x = 16
x = 16
pls help! due today
Answer:
The probability of randomly selecting a daisy from Bouquet S is 13/30 and the probability of randomly selecting a daisy from Bouquet T is 1, since there is only one type of flower in Bouquet T.
The probability of randomly selecting a daisy from Bouquet S is less than the probability of randomly selecting a daisy from Bouquet T.
This statement is true.
Quadrilateral W X Y Z was dilated with the origin as the center of dilation to create quadrilateral W ′ X ′ Y ′ Z ′ . The quadrilateral was dilated using a scale factor of 2. The lengths of the sides of quadrilateral W X Y Z are given. Enter the lengths of the sides of quadrilateral W ′ X ′ Y ′ Z ′ below. (Decimal values may be used.)
Answer: you are
Step-by-step explanation: a musty aughhh creature
(btw the moderator that keeps deleting my comments g3ts 0ff to drawn leaves and moderators’ also obsessed with me)
Consider the two functions shown here. Which function has the greater rate of change? Explain your answer. Responses A Function 1, because its rate of change is ½ .Function 1, because its rate of change is ½ . B Function 1, because its rate of change is 2.Function 1, because its rate of change is 2. C Function 2, because its rate of change is ½.Function 2, because its rate of change is ½. D Function 2, because its rate of change is 7.
Answer:
Function 1 has the greater rate of change because it is 2. Function 2's rate is 1/2
Step-by-step explanation:
Answer:
Step-by-step explanation:
The rate of change of a function is its slope, which is the ratio of the change in the y-coordinate to the change in the x-coordinate. The slope is also known as the "rise over run" or "change in y over change in x".From the given information, the first function is y=x+2 and the second function is y=7x-2.The rate of change of the first function is 1, because the y-coordinate changes by 1 unit for every 1 unit change in the x-coordinate. The rate of change of the second function is 7, because the y-coordinate changes by 7 units for every 1 unit change in the x-coordinate.Therefore the correct answer is D) Function 2, because its rate of change is 7.
A school janitor has mopped 1/3 of a classroom in 5 minutes. At what rate is he mopping?
Simplify your answer and write it as a proper fraction, mixed number, or whole number.
Answer: He is mopping at a rate of 15 minutes per classroom or a ratio of 1 classroom/15 minutes
Step-by-step explanation: If he takes 5 minutes to mop 1/3 of a classroom, then to mop 1 whole classroom, he will take 5 x 3=15 minutes because 1/3 x 3 is 1 and 5 x 3 is 15.
One afternoon, Dillon and 3 friends visit the zoo. They split the cost of parking the car evenly. Then each person buys a ticket to enter the zoo. By the end of the afternoon, each person has also purchased 2 bottles of water.
• Let p represent the parking cost.
• Let t represent the ticket cost.
• Let w represent the cost of a bottle of water.
Use the dropdowns to complete the statements.
(A) One way to express the total cost is to find the cost per person for a ticket and water. Then multiply this expression by
Choose...
and add
the parking cost
.
(B) The expression for total cost described in part A is
Choose...
+
p
.
(C) Another way to express the total cost is to add the cost of
Choose...
tickets plus the cost of
Choose...
bottles of water plus
the parking cost
.
(D) The expression for total cost described in part C is
Choose...
.
Answer: You didn't write the whole question, but I will write an equation.
p/4 + 4t + 6w
Step-by-step explanation:
So for the parking ticket, its the cost divided by 4 because Dillon and 3 friends are 4. They each bought a ticket so 4t, and 3*2 is 6 so the water bottle is 6w.
Answer:
Step-by-step explanation:
Can anyone help with this right answer only
Answer: the answer is b because i used my brain ( i cant explain things
Could I get some help with this?
Answer:710
Step-by-step explanation:
What is the measure of angle X?
A. 54°
B. 86°
C. 95°
D. 125°
Which expression resulted from using the Distributive Property to generate an expression equivalent to 4( 1/4a + b – 6)?
a. a + b – 24
b. 4a – 6b
c. 4a + b – 6
d. a + 4b – 24
The expression is: To find: The equivalent expression of the given expression by using the distributive property. Explanation: Distributive property: If are three real numbers, then We have, Using the distributive property, we get Therefore, the required equivalent expression is
QUICK PLEASE HELP ME ASAP
Answer: the answer to this question is 45
Step-by-step explanation:
3 times 3 times 5 = 45
first do 3 times 3 which equals 9
then you do 9 times 5 which equals 45
so that means your answer is 45 square meters.
Image includes question. Include the process and correct answer.
Answer:
I don't know
Step-by-step explanation:
I don't know
ANY FAKE/TROLL ANSWERS WILL BE REPORTED
On the graph, two right triangles have the line as the hypotenuse. In this task, you will use these triangles to show that the slope between points E and A is the same as the slope between points A and C.
A graph depicts two right triangles DEA and BAC which have the line as the hypotenuse.
Part A
Which angles of the triangles measure 90°
Part B
To show that the other two angle measurements in each triangle are equal, you can use parallel lines cut by a transversal. Which two pairs of line segments formed by triangle sides are parallel, and what is the transversal for each pair?
Part C
Which angle has the same measurement as angle DEA, and how do you know that the measurement is the same?
Part D
Which angle has the same measurement as angle DAE and why (vertical, corresponding, alternate interior, or alternate exterior angles)?
Part E
Are the two triangles congruent? Why or why not?
Part F
Are the two triangles similar? Why or why not?
Part G
Write a fraction setting the vertical length of the larger triangle over its horizontal length. What does this fraction represent?
Part H
Write a fraction setting the vertical length of the smaller triangle over its horizontal length. What does this fraction represent?
Part I
To see if the slopes are the same, write an equation setting the two fractions equal to each other. Is this equation true? Why or why not? What does that mean about the slope between points E and A and the slope between the points A and C?
Space used (includes formatting): 0 / 15000
Answer:
Step-by-step explanation:
We know that the Slope is always given as, where the rise is the vertical height of the slope and run is the horizontal length of the slope.
For Δ ADE,
rise = DE = 4 units,
run = DA = 6 units,
For Δ ABC,
rise = AB = 2 units,
run = BC = 3 units,
,
Thus, the slope of line EA and AC is equal.
We know in a Right Angle Triangle the side opposite to the right angle is the longest side and it is known as hypotenuse.
As already mentioned in the question " two right triangles have the line as the hypotenuse", which means line EA and line AC are already said as the hypotenuse of the triangles. therefore, the angle opposite to them is the right angle in the triangles.
1.)
In ΔABC, the hypotenuse is the line AC, therefore, the right angle is the opposite angle which is ∠ABC.
Similarly, In ΔEDA, the hypotenuse is the line EA, therefore, the right angle is the opposite angle which is ∠EDA.
2.)
Parallel lines are those lines that always maintain the same distance between them and will never meet. whereas, a transversal is a line that crosses two or more parallel lines. As shown in the image below,
Here, there are two pairs of parallel lines cut by a transversal
Pair I: line ED and line AB are a pair of parallel lines, which can be easily seen if both the lines are extended, while AD (or x-axis), line BC(only if extended), and line EC are the transverses between them.
Pair II: line DA and line BC are a pair of parallel lines, which can be easily seen if both the lines are extended, while AB (or y-axis), line ED(only if extended), and line EC are the transverses between them.
I hope this is helpful. Hope you get good grades!
Whats the Length of XY
A. 5 units
B. 4 units
C. 3 units
D. 2 units
A spinner with repeated colors numbered from 1 to 8 is shown. Sections 1 and 8 are purple. Sections 2 and 3 are yellow. Sections 4, 5, and 6 are blue. Section 7 is orange.
A spinner divided into eight equal colored sections, with one orange, two purple, two yellow, and three blue.
Which statement about probability is true?
The probability of landing on blue is greater than the probability of landing on purple.
The probability of landing on yellow is less than the probability of landing on orange.
The probability of landing on orange is equal to the probability of landing on yellow.
The probability of landing on purple is equal to the probability of landing on blue.
Answer:The probability of landing on blue is greater than the probability of landing on purple.
Step-by-step explanation:
HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP
Answer:
8
Step-by-step explanation:
Analysts at the Milk Company calculated the average price of a gallon of its milk over 10 years. The following table shows the years since 2010 and the average price of a gallon of milk at that time.
Years (since 2010) 0 1 2 3 4 5 6 7 8 9
Price (in dollars) 3.32 3.52 3.41 3.40 3.21 3.52 3.02 2.82 3.05 3.31
Which of the following representations is most appropriate for showing how the price changed each year?
line graph titled gallon of milk, with the y axis labeled years since 2010 and the x axis labeled price in dollars with points at 3.32 comma 0, 3.52 comma 1, 3.41 comma 2, 3.40 comma 3, 3.21 comma 4, 3.52 comma 5, 3.02 comma 6, 2.82 comma 7, 3.05 comma 8, and 3.31 comma 9
scatter plot titled gallon of milk, with the y axis labeled years since 2010 and the x axis labeled price in dollars with points at 3.32 comma 0, 3.52 comma 1, 3.41 comma 2, 3.40 comma 3, 3.21 comma 4, 3.52 comma 5, 3.02 comma 6, 2.82 comma 7, 3.05 comma 8, and 3.31 comma 9
scatter plot titled gallon of milk, with the x axis labeled years since 2010 and the y axis labeled price in dollars with points at 0 comma 3.32, 1 comma 3.52, 2 comma 3.41, 3 comma 3.40, 4 comma 3.21, 5 comma 3.52, 6 comma 3.02, 7 comma 2.82, 8 comma 3.05, and 9 comma 3.31
line graph titled gallon of milk, with the x axis labeled years since 2010 and the y axis labeled price in dollars with points at 0 comma 3.32, 1 comma 3.52, 2 comma 3.41, 3 comma 3.40, 4 comma 3.21, 5 comma 3.52, 6 comma 3.02, 7 comma 2.82, 8 comma 3.05, and 9 comma 3.31
The points would be plotted at (0, 3.32), (1, 3.52), (2, 3.41), (3, 3.40), (4, 3.21), (5, 3.52), (6, 3.02), (7, 2.82), (8, 3.05), and (9, 3.31).
What is a scatter plot?A scatter plot is a graph formed by plotting the ordered pairs of a set of data on the coordinate axis such that a pattern is formed that reveals the presence of any correlation or pattern between the variables.
The most appropriate representation for showing how the price of a gallon of milk changed over time would be a line graph titled "gallon of milk", with the x-axis labeled "Years since 2010" and the y-axis labeled "Price in dollars".
The points would be plotted at (0, 3.32), (1, 3.52), (2, 3.41), (3, 3.40), (4, 3.21), (5, 3.52), (6, 3.02), (7, 2.82), (8, 3.05), and (9, 3.31)
This is because a line graph uses a continuous line to connect data points that are plotted on the x- and y-axes, which makes it easy to see at a glance how the price of milk has changed over the 10 years and also to identify patterns or fluctuations in the price over time.
The x-axis labeled "Years since 2010" represents the data on the time scale, where as y-axis labeled "Price in dollars" represents the price of milk.
To learn more about scatter plots visit:
https://brainly.com/question/29231735
#SPJ1
Can anyone help with these two problems!
Answer:
1. 8
2. AT
Step-by-step explanation:
1. Using the Pythagorean theorem, we have a^2+b^2=c^2.
therefore,
4^2+7^2=RT^2
16+49=RT^2
65=rt^2
rt=sqrt(65)
8.0622577483≈8.
2. LDTA=PMJG
GJ or JG = TA or AT.
I hope this helped!
#KeepBrainlyHelpful
Use the tape diagram to answer the question: How many 2/5s are in 1 1/2? Show your reasoning.
Answer:
3 3/4
Step-by-step explanation:
This question simply means that we have to divide. This will be:
1 1/2 ÷ 2/5
= 3/2 ÷ 2/5
= 3/2 × 5/2
= 15 / 4
= 3 3/4
Answer:
3 3/4
Step-by-step explanation:
2/5 = .4
1 1/2 = 1.5
1.5/.4 = .4 + .4 + .4 + .3
.3 = 3/4 .4
3 3/4
List the sample space for rolling a fair eight-sided die.
S = {1}
S = {8}
S = {1, 2, 3, 4, 5, 6}
S = {1, 2, 3, 4, 5, 6, 7, 8}
Answer:
Step-by-step explanation:
The size of the sample space is the total number of possible outcomes. For example, when you roll 1 die, the sample space is 1, 2, 3, 4, 5, or 6. So the size of the sample space is 6.
Answer:
6
Step-by-step explanation:
7over10- 3over10 reduced in lowest terms
Answer:
Step-by-step explanation:
2/5
Please help me answer someone!!!!!
How many lines does the graph of this system have?
y=(3)/(4)x+2 and 3x+4y=8
Answer:
2 lines??
Step-by-step explanation:
I need help on this it's due tomorrow please help.
Answer:
$8/hour
Step-by-step explanation:
You are given 3 points.
You need to use two of them to find the slope.
The slope is the rate of change.
Let's use points (1, 28) and (2, 36).
slope = (difference in y)/(difference in x)
slope = (y_2 - y_1)/(x_2 - x_1)
slope = (36 - 28)/(2 - 1)
slope = 8/1
slope = 8
Answer: The rate of change is $8/hour.
x (minutes) y (bedsheets)
10 60
13 78
14 84
15 90
Write an equation for the relationship between x and y. simplify any fractions.
So y= what
y =
Choose the numeral that matches the words: nine and nine hundredths BTW: need it it decimal
Answer:
9.09
Step-by-step explanation:
I think
ANSWER FAST
The first hexagon is dilated to form the second hexagon.
Select answers from the drop-down menus to correctly complete the statements.
The scale factor is (answer)
This represents (answer)
Answer: Scale factor is 1.25 and I think it would represent dilation or something, it's not very specific
Step-by-step explanation:
6.25/5=1.25