Answer: -3/5, 18/32, -10/11, and horizontal.
Step-by-step explanation: Remember the equation for slope? Δy (the change in y), over Δx (the change in x). In other words, rise over run. To solve for Δ, you'd have to subtract the second output (y²) from the first (y¹). There are really no rules as to which has to be minuend and the subtrahend, so I chose to subtract (-1,6) from (4,3) for the first problem.
y¹-y² Δy 3-6 -3
------ or ---- so ------- = ----- The slope is represented by -3/5x
x¹-x² Δx 4-(-1) 5
__________________________________________________________
For the second, substitute the values again (make sure you keep the xs and ys together and in the right order, otherwise your answer will be incorrect). Remember that subtracting a negative number is basically just adding a positive number. That's why the slope is 18/32 and not 4/26.
11-(-7) 18
--------- = -------
29-(-3) 32
___________________________________________________________
For number three, they give you a point, then tell you the y-intercept. With that in mind, also know the second point is (0,17), because the x value at the y-intercept is always 0.
7-17 -10
------ = ------- The slope is -10/11x
11-0 11
___________________________________________________________
4-4 0
------ = --------
6-(-9) 15
Because there is no Δy, but there is Δx, we know that the line for y will be straight and shows no change- it will always be at 4. That said, the line will be horizontal.
I hope this helps. I know this is very confusing at first, but with practice, you'll eventually get the hang of it. I've tried to explain the rules to the best of my ability- let me know if there's anything you don't understand or need more help with.
Sincerely,
Lacia :))
2. How do you think the interaction between the
wind and the turbine blades result in electrical
energy? Explain your answer.
Answer:
Wind causes blade to move
Step-by-step explanation:
As blade moves, turbine work, and thus v get electricity from wind
Have a GOOD DAY.....
A pound of ground beef costs $5. At this rate, what is the cost of 3/4 pounds?
Answer:
The answer would be $3.75
This can be easy if you take $5 and multiply it by 3/4 and you will get that answer!
I hope this helps :)
Step-by-step explanation:
Plz mark B R A I N L I E S T
PLEASE HELP......rotate this image 90° counterclockwise and write the new coordinates for V’
Answer:
(1, 4)
Step-by-step explanation:
For people who are wanting to answer this question, just rotate this image three times to get the 90 degree counterclockwise image of the triangle : )
Which shape is similar to shape I? A. B. C. D.
E because it's in order
The sum of 5% of a number and nine is 16
Answer:
This can be written algebraically as 5% ⋅ x + 9 = 16. If you want to solve for x, you’ll get x=140
Step-by-Step Explanation:
The attached picture is how to solve for x step-by-step.
Hope this helps and answers your question! :)
17) Solve. 4 -2x = 10 A) -7 B) -3 0 D) 3
-3
Step-by-step explanation:
4 - 2x = 10
-4 -4
-2x = 6
÷ -2 ÷ -2
x = -3
I will give barinlest im not playing im frfr
Answer:
M= 32 x 3
M= 96
Carly ran 96 miles
Step-by-step explanation:
May I have brainliest please? :)
what is the midpoint
1) Find the perimeter of the following
polygon
8 ft.
5 ft.
please show your working out for (x+2)(x+4)=
Answer:
.
Step-by-step explanation:
(x+2)(x+4)
=x(x+4)+2(x+4)
=x²+4x+2x+8
=x²+6x+8
Can you guys please help me step by step ?2(2x-1)=6(x+2)
Answer:
Step-by-step explanation:
2(2x-1)=6(x+2) PEDMAS
4x-2=6x+12 subtract 4x from both sides
-2=2x+12 subtract 12
-14=2x divide by 2
x= -7
Answer:
x = -7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesStep-by-step explanation:
Step 1: Define equation
2(2x - 1) = 6(x + 2)
Step 2: Solve for x
Distribute: 4x - 2 = 6x + 12Subtract 4x on both sides: -2 = 2x + 12Subtract 12 on both sides: -14 = 2xDivide 2 on both sides: -7 = xRewrite: x = -7Step 3: Check
Plug in x to verify it's a solution.
Substitute: 2(2(-7) - 1) = 6(-7 + 2)Multiply: 2(-14 - 1) = 6(-7 + 2)Subtract/Add: 2(-15) = 6(-5)Multiply: -30 = -30Here we see that -30 does indeed equal -30.
∴ x = -7 is a solution of the equation.
Ericka decided to compare her observation to the average annual trend, which shows the water rising 1.8 mm/year. Remember, she used 6.2 years as her time period
Explain how she would calculate the difference between how much water levels rose on average and how much the water level fell in the part of the river she observed.
Answer:
Sample response:
Step-by-step explanation:
She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.
Answer:
Step-by-step explanation:
She would multiply the rate by the years to find the average rise in water levels, or 1.8 times 6.2 = 11.16. To find the difference between the water levels, she would subtract -13.64 from 11.16.
When you want to make a whole number a fraction, what number do you put as the denominator?
Alan compared the slope of the function y=3x+2 to the slope of the linear function that fits the values in this table. Which choice is true about the slopes of the two functions?
OPTIONS:
*The slope of the graph of the table is 1 more than the slope of the graph of the equation.
*The slope of the graph of the table is 2 more than the slope of the graph of the equation.
*The slope of the graph of the equation is 2 more than the slope of the graph of the table.
*The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Answer:
The slope of the graph of the equation is 1 more than the slope of the graph of the table.
Step-by-step explanation:
The slope in the equation of the function, y = 3x + 2, is identified as 3.
We know this because, the equation for the function was given in the slope-intercept form, y = mx + b, where m represents the slope.
Therefore, the slope of the function is 3.
The slope of the function represented by the table of values can be calculated using any two given pairs on the table.
Using (1, 6) and (3, 10):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_2} = \frac{10 - 6}{3 - 1} = \frac{4}{2} = 2 [/tex]
Slope of the function represented by the table of values is 2.
Therefore, comparing the slope of both functions, we can conclude that:
✅"The slope of the graph of the equation is 1 more than the slope of the graph of the table."
simplify the like terms 2x-5x
Answer:
-3x
General Formulas and Concepts:
Combining like termsStep-by-step explanation:
Step 1: Write expression
2x - 5x
Step 2: Combine like terms (x)
-3x
Determine the type of triangle that is drawn below. PLZZ ASAP
Answer:
saclene obtuse
Step-by-step explanation:
sides all different and one angles is obtuse
Landon bought 4 pounds of walnuts for $10.92. What is the constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x?
Step-by-step explanation:
The constant of proportionality is the ratio of the cost to the number of pounds of walnuts. In other words, it is the price of one pound of walnuts.
$10.92 / 4 lb = $2.73 / lb
The constant of proportionality that relates the cost in dollars, y, to the number of pounds of walnuts, x is $2.73 lb
What is constant of proportionality?Firstly, there is proportional relationship.
Two values x and y are said to be in a proportional relationship if x=ky, where x and y are variables and k is a constant.
The constant k is called constant of proportionality.
The constant of proportionality can be calculated as the ratio of the cost to the number of pounds of walnuts.
x = number of walnuts
y = cost of walnutsin dollars
In other words, it is the price of one pound of walnuts now we have;
Constant of proportionality =$10.92 / 4 lb = $2.73 / lb
Learn more about directly inversely proportional relationship variable here:
https://brainly.com/question/13082482
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Which of the following represent(s) an equation of the line passing through the points A(5, 6) and B(4,8). Select all that apply.
Answer:
A, 6 and B, 4
Pick an lunch for every single day?
Answer:
The last one please.
Identify the domain of the relation {(1,9), (2,5) (4, 6), (7, 1), (2,4)} .
How many real solutions does the function shown on the graph have?
A. no real solutions
B. one real solution
C. two real solutions
D. cannot be determined
Answer:
no real equations
Step-by-step explanation:
the line isnt touching the x intercept line meaning there wouldn't be any equations to begin with
Help please? Will mark correct and first answer as brainliest!! : )
Answer:
It Is O. 8
Step-by-step explanation:
Because you are suppose to round the number to the one in front of the other number
83/100 83%
.......................
Please helppppp me Idk how to answer this
Find the value of x so that f(x)=7.
Answer:
5
Step-by-step explanation:
At 7 on the y-axis, the x-axis is 5
Please help will brainlist
Answer:
14-C
15-B
16-D
17-C
Step-by-step explanation:
.......
need answer, please help!!
Determine triangle type
Answer:
isosceles acute
Step-by-step explanation:
two same sides so it is isosceles and all angles under 90 so acute
Answer:
isosceles acute
Apples are on sale for $3.12 per kilogram is the total cost of apples proportional to the total mass?
Answer:
proportional
Step-by-step explanation:
Answer: Yes it is proportional
Step-by-step explanation:
Dai is comparing how many trading cards he has with his friend Maura. Initially, they find that Dai has four more cards than twice the number that Maura has. Part B) If Dai must give Maura 8 cards so that they have the same amount, set up and solve an equation to determine the number of cards Maura initially had.
Answer:
Maura had 12 cards initially
Step-by-step explanation:
Represent Dai's card with D and Maura's card with M.
From the first statement, we understand that:
D = 4 more that twice of M
This is represented as:
D = 4 + 2M
From the second statement, we understand that.
When 8 is subtracted from D, M is increased by 8 and both are equal.
This is represented as:
D - 8 = M + 8
Hence, the equations of the system is:
D = 4 + 2M
D - 8 = M + 8
Substitute 4 + 2M for D in the second equation
4 + 2M - 8 = M + 8
Collect like terms
2M - M = 8 - 4 + 8
M = 12
To solve for D, we simply substitute 12 for M in D = 4 + 2M
D = 4 + 2 * 12
D = 4 + 24
D = 28
Hence, Maura had 12 cards initially
what is 3x3+27+27+27?
Answer:
its 90
Step-by-step explanation: