Answers
(a) Slope is rise over run, or change in y over change in x.
1 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{4 - -8}{-1 - -5} = \frac{4 + 8}{-1 +5}= \frac{12}{4} =\frac{12}{4}[/tex] )
2 -> 3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{1 - 7}{0 - 2} = \frac{-6}{- 2} =\frac{6}{2}[/tex] )
3 -> -1/3 ( [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{-7 - -3}{6 - -6}= \frac{-7+3}{6+6}=\frac{-4}{12}=-\frac{1}{3}[/tex] )
(b) If a line is parallel, the slopes will be the same. If they are perpendicular, the slopes will be are negative reciprocals of one another. If they are neither, then their slopes don't match up in any way.
1 & 2 -> Parallel
1 & 3 -> Perpendicular
2 & 3 -> Perpendicular
Note - Since 1 & 2 are parallel, then both 1 and 2 will be perpendicular to 3!
Have a nice day!
If this is not what you are looking for - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Line 1: slope: 1
Line 2: slope: -3/2
Line 1 and line 2: neither
Line 3 slope: - 1/3
Line 1 and 3: neither
Line 2 and 3: neither
Step-by-step explanation:
Line 1: (-5,-8) and (-1,4)
Slope: (4 - - 8)/(-1 - - 5) = 12/4 = 3
Line 2: (2,7) and (0,10)
Slope: (10 -7)/(0 - 2) = 3/-2 = -3/2
Line 3. ((-6,-3) and (6,-7)
Slope: (-7 - - 3)/(6 - -6)= -4/12= -1/3
Related Questions
How do you do this, because I really do not know how to do this and plz explain how to do this
Answers
Answer:
A
Step-by-step explanation:
the leading degree(the biggest power in the function) x^4 and the leading coefficient is the number next to the highest power which is -5
so the answer should be
-5,4,x -> infinity, f(x) -> -infinity ; x -> -infinity, f(x) -> -infinity
when you get asked questions like this look for the biggest power and the number next to it. if the power is even x will always be positive if its odd x can be either positive or negative it depends on restrictions.
for instance in this example -5 * x^4 will always give you negative because -5 will multiply with a positive number x (the power is even so its always positive)
DUE IN 15 MINUTES PLEASE HELP
Tony and Ricky spend a certain amount of money from their accounts each week at a pet shelter.
The table shows the relationship between the amount of money (y) remaining in Tony's account and the number of weeks (x):
Function 1:
Number of Weeks
(x) Amount Remaining (dollars)
(y)
1 30
2 24
3 18
4 12
The equation shows the relationship between the amount of money, y, remaining in Ricky's account and the number of weeks, x:
Function 2:
y = –7x + 30
Which statement states and explains which function shows a greater rate of change?
Function 1, because Tony spends $6 each week and Ricky spends –$7 each week
Function 2, because Ricky spends $7 each week and Tony spends $6 each week
Function 1, because Tony spends $18 each week and Ricky spends $23 each week
Function 2, because Ricky spends $30 each week and Tony spends $18 each week
Answers
Answer:
Function 2, because Ricky spends $7 each week and Tony spends $6 each week
Step-by-step explanation:
You find the rate of weekly rate of change by calculating the difference of the amount changing each week:
24 - 30 = - 6
18 - 24 = - 6
12 - 18 = - 6
As you see the rate of change is constant: - 6 dollars per week. This means that Tony is spending 6 dollars every week
Function 2: y = –7x + 30
The rate of change is the slope (m) of the linear function, and this is the coefficient of the independent variable, x.
This equation is written in slope intercept form (y= mx+b)
Then the rate of change is - 7 dollar per week. This means Ricky spends 7 dollars every week.
Now you know that the two rates are constant and that the second function shows a steeper decreasing.
Answer: it’s b lol
Step-by-step explanation: got it right on my quiz
What is the first step in solving this equation?
3(2x + 6) - 4x = 2(5x - 2) + 6
Use the subtraction property of equality to subtract 6 from both sides.
Use the addition property of equality to add 4x to both sides.
Combine the like terms on each side of the equation.
O Use the distributive property on each side of the equation.
Answers
Answer: use distributive property
Step-by-step explanation:
-15 < x - 8 < -4
SOLVE COMPUND INEQUALITY
Answers
[tex] \sf \: -15 < x - 8 < -4 [/tex]
Add 8 to all parts[tex]\sf \longmapsto−15+8<x−8+8<−4+8[/tex]
[tex]\sf \longmapsto−7<x<4[/tex]
[tex] \boxed{\sf−7<x<4 }[/tex]
Graph attachedangle at centre is 108 degree and the area is 4620cm find the radius
Answers
Answer:
Ffggf
Step-by-step explanation:
1. A roller coaster holds 30 people. There are 252 people waiting for a ride. How
many times will the roller coaster need to run so that all 252 people get a ride
Answers
Answer:
They would need to wait almost 9 times to ride.
Step-by-step explanation:
252 divided by 30 equals 8.4.
if there was 200 kids= 100% and 43 of them left what is the percent
Answers
Answer:
It would be 86 as 43% of 200 is 86
Step-by-step explanation:
1 If finding unit rate, what would be the best buy for potato chips? A. 18 oz. for $4.17 B. 32 oz for $7.92 C. 20 oz for $5.19 D. 30 oz for $5.99
Answers
Answer:
B.
Step-by-step explanation:
Unit rate is $4.04 per oz
Will give brainliest!
Select all tables that represent a proportional relationship between x and y.
Answers
Answer:
A & D
Step-by-step explanation:
A:
[tex]y = \frac{6}{5} x[/tex]
D:
[tex]y = 4x[/tex]
It took Jason 20 days to write his college essay. He wrote half a page (0.5) every day. How long was the report?I need an explanation to so I can understand, thank you!
Answers
the first shower head was used 20 gallons of water in 5 minutes. How many gallons of water will we use in one minute?
Answers
Answer:
4
Step-by-step explanation:
because since it says 5 minutes
and. 5×4=20 so 4 gallons of water in 1 minute
if 20 articles cost $90,then the cost of 9 articles is
Answers
Answer:
$40.50
Step-by-step explanation:
90 divided by 20 is 4.5. then you multiply that times 9 and that's your answer.
Find the missing coefficient in the equation of the line that passes through the given point Write the completed equation 3x + By = 97, (21, - 4)
Answers
Answer:
[tex]-\frac{17}{2}[/tex]
Step-by-step explanation:
Substitute the point (21,-4) in for [tex]x[/tex] and [tex]y[/tex] in the equation making
[tex]3(21)+B(-4)=97[/tex]
Simplify and solve
[tex]63-4B=97[/tex]
[tex]-4B=34[/tex]
[tex]B=-\frac{17}{2}[/tex]
Please help, thank you (NO LINKS!)
Patsy has cheerleading practice every fourth day. She wants to be in the school play, but they have practice every sixth day. If both start on September 5th, what would be the next date she has to choose between cheerleading and play practice? Show your work and explain.
Answers
Answer:
the first time 4 and 6 intersent is 24
so 24 days after september 5th
september 29th
Hope This Helps!!!
Help!!! evaluate peicewise functions
Answers
Answer:
9
Step-by-step explanation:
You choose the middle one because 3<(4)<10 makes sense where as the other ones don't when you plug in 4. Then you solve the equation which is x^2-7 and then you get 16-7 which is 9.
Write the following equation in the general form Ax + By + C = 0.
1/2 y - 1/3x - 1 = 0
-2x + 3y - 6 = 0
2x - 3y - 6 = 0
2x - 3y + 6 = 0
Answers
To find the answer quickly, fist look at the signs associated with the terms. The is a negative sign with the B and C in the original equation, and the second option is the only one that follows that.
You use 6 as the C since that is a shared value when multiplying 2 and 3, so 1/2 becomes 2 and 1/3 becomes 3.
x+4/5x=180 plz show work
Answers
Answer:
The answer is 100.
Step-by-step explanation:
I started with solving 4 divided by 5. It was 0.8. I then started going thru 1 to 10 to 20 to 50 to 100. I was comparing big numbers. I then realized 100+0.8 times 100 = 180!
Answer: [tex]x=100[/tex]
If the equation is [tex]x+\frac45 x = 180[/tex] we add on the LHS: [tex]x(1+\frac45) = 180 \rightarrow x(\frac55+\frac45)= 180\\\frac95 x = 180[/tex]
At this point we divide both sides by 9 and multiply by 5:
[tex]x=\frac 59 (180) = \frac59 (2\times 9 \times 10) = 100[/tex]
The table shows the heights of three different rock formations that Jeremy is considering. Rewrite the equation for the line of best fit. Then use the equation to predict how long it will take to climb and come back down the three rock formations.
Type the correct answer in each box. Round your answers to the nearest hundredth.
Answers
Answer:
Step-by-step explanation:
45–120
75–215
145–400
Step-by-step explanation:
This table shows the heights of three different rock formations that Jeremy is considering.
45-120
75-215
145-400
What is the simple definition of the equation?1: Statement about the equivalence of two formulas. 2: An expression that expresses a chemical reaction using a chemical symbol.
What is an equation? What is the type of equation?There are two types of equations, identities and constraint equations. The ID applies to all values of the variable. Constraint equations apply only to specific values of variables. The equations are described as two equations joined by an equal sign ("=").
To learn more about an equation, at
https://brainly.com/question/2972832
#SPJ2.
consider the expression
[tex] \sqrt{a^{2} + 12 } + |b| [/tex]
when a = -2 and b= 14. what is the value of the expression?
show work
Answers
Answer:
18
Step-by-step explanation:
[tex]\sqrt{((-2)^2 + 12)} + 14[/tex]
= [tex]\sqrt{(4 + 12)} + 14[/tex]
= [tex]\sqrt{16}+14[/tex]
= 4 + 14
= 18
Hope this helps!
Answer:
[tex] \sf 18[/tex]
Step-by-step explanation:
[tex] \sf = \sqrt{ { - 2}^{2} + 12} + |14| [/tex]
[tex] \sf = \sqrt{(( - 2) \times ( - 2)) + 12} + 14[/tex]
[tex] \sf = \sqrt{4 + 12} + 14[/tex]
[tex] \sf = \sqrt{16} + 14[/tex]
[tex] \sf = \sqrt{ {4}^{2} } + 14[/tex]
[tex] \sf = 4 + 14[/tex]
[tex] \sf = 18[/tex]
How many solutions does the
system of equations below have?
Y=2x - 6
y=5/9x+9/4
Answers
Answer:
2
Step-by-step explanation:
next two the = there are 2 ys
Answer:
Only 1
Step-by-step explanation:
It does not have the same slope thus meaning its not it does not have infinite or no solution, which leaves out 1 solution
Tonis cat weighs 2,240 grams. How many kilograms does her cat weigh? Use 100 grams = 1 kilograms to convert the rates.
Answers
Answer: 2.24
Step-by-step explanation:
Firstly, one kilo is 1000 grams, not 100. 2240/1000=2.24
Toni's cat weighs 22.4 kilograms.
To convert grams to kilograms, we divide the weight in grams by the conversion rate of 100 grams per 1 kilogram.
For Toni's cat weighing 2,240 grams, we divide 2,240 by 100 to get the weight in kilograms.
2,240 grams / 100 grams per kilogram = 22.4 kilograms.
Therefore, Toni's cat weighs 22.4 kilograms.
The conversion rate of 100 grams to 1 kilogram allows us to easily convert weights from smaller units (grams) to larger units (kilograms). In this case, dividing the weight in grams by 100 gives us the weight in kilograms, providing a simple way to convert between the two units.
Learn more about conversion here
https://brainly.com/question/34190547
#SPJ2
Twenty percent of a class is made up of girls. If there are 40 students in the class, how many are girls ?
Answers
Answer:
8
Step-by-step explanation:
20 percent of 40 is 8
I hope this is 5he answer you were looking for
The functions r and s are defined as follows.
r(x) = -x +1
s(x)=2x2-1
Find the value of r(s(4)).
numeral composition of functions
Answers
Answer:
.........................................
What is the slope of this graph?
1. - 1/3
2. 1/3
3. -3
4. 3
Answers
find two points then do rise over run
the rise is -3 and the run is 1 which just makes it -3.
Which equation goes through the points (-3,5) and (-1,7)?
Answers
Answer:
y=x+8
Step-by-step explanation:
slope = y2-y1/x2-x1
slope = 7-5/-1+3
slope = 2/2
slope = 1
y=x+b
7=1(-1)+b
7=-1+b
b=8
y=x+8
Please help Please help
Answers
Answer:
with what
Step-by-step explanation:
0.1 x 0.01 x 0.001
ans ???
Answers
________
[tex] \: [/tex]
[tex]0.1 \times 0.01 \times 0.001 = ...[/tex]
[tex] = \frac{1}{10} \times \frac{1}{100} \times \frac{1}{1.000} [/tex]
[tex] = \frac{1}{10 \times 100 \times 1.000} [/tex]
[tex] = \bold{ \frac{1}{1.000.000}} [/tex]
Answer:
[tex]0.1 \times 0.01 \times 0.001 = 0.000001 \\ \\ \\ \\ i \: hope \: it \: is \: helpfull[/tex]
1/2 + 1/8 + 3/4 as a fraction
Answers
Answer:
[tex]1\frac{3}{8} aka \frac{11}{8}[/tex]
Step-by-step explanation:
to start, think of them as decimals
1/2 = 0.5
1/8 = 0.125
4/4 = 0.75
if you add them, youll get 1.375
as a fraction this is [tex]1\frac{3}{8} aka \frac{11}{8}[/tex]
Can you explain how to solve this please?
Answers
9514 1404 393
Answer:
-25
Step-by-step explanation:
Consult your memory of multiplication tables to determine the square root of 100.
10×10 = 100
√100 = 10
Then multiply that value by -2.5
-2.5×10 = -25
___
Of course, you can use a calculator or spreadsheet to evaluate this expression, too.
solve the median of 4,5,3,4,3,1
Answers
Answer:
arrange them in order = 1,3,3,4,4,5
then cancel them slowly from both side = 3,3,4,4
until u find a single number or two number.
for two number which is same as this do (3+4)/2 which is 7/2 = 3.5
Step-by-step explanation:
4,5,3,4,3,1 (n = 6)
[tex] \\ \tt median = \frac{n + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{6 + 1}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = \frac{7}{2} [/tex]
[tex] \\ \tt \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 3.5[/tex]
