Answers
You found the correct slope for Line 1, but Line 2 has a slope of (3 - 2)/(6-3) = 1/3.
If 2 lines are parallel, their slopes are the same; perpendicular and their slopes are opposite reciprocals (change the sign of the first slope, then divide 1 by it and you get the perpendicular line's slope). 1/3 is NOT the opposite reciprocal of 3 (because they have the same sign) and 1/3 is NOT equal to 3, so that makes the answer neither.
The slope for Line 3 is (3 - 1)/(1 - (-1)) = 2/2 = 1
The slope of Line 4 is (1 - (-1))/(4 - 2) = 2/2 = 1
1 = 1, so these lines are parallel
Related Questions
help and ill give u brainly And points ASAp
Answers
Which equation represents a line perpendicular to the line shown on the graph?
On a coordinate plane, a line goes through (negative 2, 0) and (0, 4).
y = one-half x minus 2
y = negative one-half x + 3
y = 2 x + 1
y = negative 2 x + 4
Answers
Answer:
A
Step-by-step explanation:
The equation of the perpendicular line is y = -1/2x + 3. The correct option is (B).
What is a Linear equation?A linear equation is a equation that has degree as one.
To find the solution of n unknown quantities n number of equations with n number of variables are required.
The coordinates of the given points are (-2, 0) and (0, 4).
The equation of the line for the given points can be written as follows,
(y - 4)/(x - 0) = (4 - 0)/(0 - (-2))
=> y - 4 = 2x
=> y = 2x + 4
Comparing the above equation with the general equation y = mx + c the slope is given as,
m = 2
Now, the product of the slopes of two perpendicular lines is -1.
Thus, the slope of the perpendicular line is,
m' = -1/2.
In order to find the the correct answer compare all the options with general equation y = mx + c and check if the slope is -1/2 as below,
(a) y = 1/2x - 2
m = 1/2
(b) y = -1/2x + 3
m = -1/2
(c) y = 2x + 1
m = 2
(d) y = -2x + 4
m = -2
Hence, the equation for the line perpendicular to the given line is y = -1/2x + 3.
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Consider the function and its inverse.
and
When comparing the functions using the equations, which conclusion can be made?
f(x) = x^2 +4 and f^-1 (x) = square root of x-4
The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≥ 0.
The domain of f(x) is restricted to x ≥ 0, and the domain of f–1(x) is restricted to x ≤ 0.
The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4.
The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≤ 4.
Answers
Answer:
The domain of [tex]f(x)[/tex] is restricted to [tex]x\leq 0[/tex], and the domain of [tex]f^{-1}(x)[/tex] is restricted to [tex]x\geq 4[/tex].
Step-by-step explanation:
From Function Theory we know that domain of a function is the set of values such that an image exist. Let [tex]f(x) = x^{2}+4[/tex] and [tex]f^{-1}(x) = \sqrt{x-4}[/tex] the function and its inverse, respectively.
At first glance we notice that function is a second order polynomial and every polinomial is a continuous function and therefore, there exists an image for every element of domain.
But domain of its inverse is restricted to every value of x so that [tex]x-4 \geq 0[/tex], which means that [tex]x\geq 4[/tex].
Finally, we concluded that following answer offers the best approximation to our result:
The domain of [tex]f(x)[/tex] is restricted to [tex]x\leq 0[/tex], and the domain of [tex]f^{-1}(x)[/tex] is restricted to [tex]x\geq 4[/tex].
Answer:
C. The domain of f(x) is restricted to x ≤ 0, and the domain of f–1(x) is restricted to x ≥ 4.
Step-by-step explanation:
What do the following two equations represent? 4x-2y= -5 and y=-1/2x-1/10
Answers
Answer:
perpendicular lines
Step-by-step explanation:
Kahn Academy
The given lines are intersecting but not perpendicular.
What is intersecting lines?In Euclidean geometry, the empty set, a point, or another line can intersect another line. For instance, computer graphics, motion planning, and collision detection can all benefit from differentiating these cases and locating the intersection.
Given:
y = 6x - 2
2x - 12y = 24
⇒ 6x - y = 2 ..(1)
2x - 12y = 24 ..(2)
Multiply second equation by 3,
6x - 36y = 72 ..(3)
Subtract equation (1) from equation (3).
6x - 12y = 24
- 6x - y = 2
_______________
-11y = 22
y = -2
Plug y = -2 in equation (1)
6x - (-2) = 2
6x + 2 = 2
6x = 2 - 2
6x = 0
x = 0
The solution of the given system is (0, -2).
Hence, the given lines are intersecting but not perpendicular.
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complete question:
What do the following two equations represent?
.y=6x-2
.2x-12y=24
Solve for x. 2x + 5 = 3x -1
Answers
Answer:
x = 6
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
6 = 1x
x = 6
The value of x is 6
Diana goes on vacation with $260. Each day, she spends the same amount of
money. After 1, 2, 3, and 4 days on vacation, she has $242, $224, $206, and
$188, respectively.
Please help
Answers
will give u brainliest if i get it write hurry!!!
Answers
Answer:
c trust me
and well i just did that 20 mins ago
Answer:
C for sure hope you get it
Find the measure of the missing angle
Answers
In a set of 25 aluminum castings, four castings are defective (D), and the remaining twenty-one are good (G). A quality control inspector randomly selects three of the twenty-five castings without replacement to test. The sample space for selecting the group to test contains ____________ elementary events.
Answers
Answer:
The sample space for selecting the group to test contains 2,300 elementary events.
Step-by-step explanation:
There are a total of N = 25 aluminum castings.
Of these 25 aluminum castings, n₁ = 4 castings are defective (D) and n₂ = 21 are good (G).
It is provided that a quality control inspector randomly selects three of the twenty-five castings without replacement to test.
In mathematics, the procedure to select k items from n distinct items, without replacement, is known as combinations.
The formula to compute the combinations of k items from n is given by the formula:
[tex]{n\choose k}=\frac{n!}{k!(n-k)!}[/tex]
Compute the number of samples that are possible as follows:
[tex]{25\choose 3}=\frac{25!}{3!\times (25-3)!}[/tex]
[tex]=\frac{25\times 24\times 23\times 22!}{3!\times 22!}\\\\=\frac{25\times 24\times 23}{3\times 2\times 1}\\\\=2300[/tex]
The sample space for selecting the group to test contains 2,300 elementary events.
The function h(x)=1/x^2+1 is the result of the composition f(g(x)). If g(x) = x^2+1,what is f(x)? A f(x)=1/square root x B f(x)=1/x C f(x)= 1/x+1 D f(x)=1/x^2+1
Answers
Answer:
Option B is correct
Step-by-step explanation:
Given: [tex]h(x)=\frac{1}{x^2+1}[/tex] is the result of the composition [tex]f(g(x))[/tex].
Also, [tex]g(x)=x^2+1[/tex]
To find: [tex]f(x)[/tex]
Solution:
Take [tex]f(x)=\frac{1}{x}[/tex]
Now check whether [tex]h(x)[/tex] is equal to [tex]f(g(x))[/tex] or not.
First find [tex]f(g(x))[/tex]
[tex]f(g(x))=f(x^2+1)=\frac{1}{x^2+1}[/tex]
Also, [tex]h(x)=\frac{1}{x^2+1}[/tex]
Therefore,
[tex]h(x)=f(g(x))[/tex]
So,
Option B is correct
Answer: B. f(x)=1/x
Step-by-step explanation:
Edge
For each of the following variables, determine whether the variable is categorical or numerical. If the variable is numerical, determine whether the variable is discrete or continuous. a. Amount of time spent shopping for clothing in the past week b. Preferred brand of shoes c. Number of deliveries received at the household per week d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) a. Amount of time spent shopping for clothing in the past week is what kind of variable? categorical continuous numerical discrete numerical b. Preferred brand of shoes is what kind of variable? categorical discrete numerical continuous numerical c. Number of deliveries received at the household per week is what kind of variable? continuous numerical discrete numerical categorical d. Most likely time period during which shopping for clothing takes place is what kind of variable? continuous numerical discrete numerical categorical
Answers
Answer:
a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL
b. Preferred brand of shoes = CATEGORICAL
c. Number of deliveries received at the household per week = DISCRETE NUMERICAL
d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL
Step-by-step explanation:
Determine whether variable is Categorical or Numerical (Discrete or continuous) :
Categorical variables are used in grouping data values into a defined set of classes or distinct groups. Numerical variables are those usually represented with numbers and this posses numerical meaning. Numerical variables can either be discrete when the values in the dataset are finite or continuous, when values aren't finite and usually uncountable.
a. Amount of time spent shopping for clothing in the past week = CONTINUOUS NUMERICAL
b. Preferred brand of shoes = CATEGORICAL
c. Number of deliveries received at the household per week = DISCRETE NUMERICAL
d. Most likely time period during which shopping for clothing takes place (weekday, weeknight, or weekend) = CATEGORICAL
Categorical Variables : b) Preferred shoe brand; & d) Likely period of shopping
Numerical Continuous Variable : a) Amount of shopping time ; & Numerical Discrete Variable : c) Number of deliveries
Numerical Variables, as the name denotes - can be expressed in numbers. Like : Number of variable x.
Discrete Variables are only in real values : like 1,2,3 etc. Continuous Variables can take values between these real values also : like 1.4 , 1.5 , 2.8 etc. Example : Number of People is discrete, Height & Weight can be continuous.Categorical Variables, as the name denotes - cant be expressed n numbers but rather in categories. Like : A person being man, woman or other gender.
A] Amount of time spent shopping for clothing in the past week : Numerical & Continuous, can be in decimal values like 2.8 , 4.5 hours etc
B] Preferred brand of shoes : Categorical Variable, will be amongst the brand names like Pima, Nuke etc
C] Number of deliveries received at the household per week : Numerical & Discrete , can be only in non decimal whole values - like 4 , 5 , 10 etc
D] Most likely time period during which shopping for clothing takes place : Categorical Variable, will be amongst the mentioned period of weeks or days - like weekday, weeknight, or weekend
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andre has x dollars. He buys lunch using 1/6 of his money and earns 8$ by doing chores after school
Answers
which one doesn’t belong? please help asap
Answers
Answer:
The one without an angle
Step-by-step explanation:
I'm guessing because the others ones all have angle measures (30, 22, x) while the bottom left doesn't.
HELP ASAP IT'S AN EMERGENCY
Answers
Answer:
AAS
Step-by-step explanation:
Two angles are equivalent and they share a side
A collection of nickels, dimes, and quarters consist of 11 coins with a total of $1.35. If the number of dimes is equal to the number of nickels, find the number of each type of coin.
Answers
Explanation: Quarters (q) = 25 cent, nickles (n) = 10 cent, dime (d) = 5 cent:
q + n + d = 11 coins
25*q + 10*n + 5*d = 135 cents
d = n
Then:
q + 2n = 11 and 25q + 15n = 135
q+2n=11 and 5q + 3n = 27
q = 11-2n -----> 5*(11-2n)+3n = 27
55 -10n+3n=27, or -7n = -28, n = 4 (nice!)
So, 4 nickle, 4 dime and 3 (11-2*4) quarters.
Check it works! ($1.35!)
The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.
Required:
a. What percent of men have a bladder volume smaller than 450 ml?
b. Between what volumes do the middle 95% of men’s bladders fall?
c. What proportion of male bladders are between 500 and 600 ml?
d. What volumes do the middle 90% of men’s bladder fall?
Answers
Answer:
a) 15.866%
b) Middle 95% = 350 ml to 750 ml
c) 0.3829
d) Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml
Step-by-step explanation:
We solve using z score formula
z-score is is z = (x-μ)/σ, where x is the raw score, μ is the population mean, and σ is the population standard deviation.
The distribution of bladder volume in men is approximately Normal with mean 550 ml and standard deviation 100 ml.
Required:
a. What percent of men have a bladder volume smaller than 450 ml?
z = 450 - 550/100
= -1
P-value from Z-Table:
P(x<450) = 0.15866
Convert to percentage
0.15866 × 100
= 15.866%
b. Between what volumes do the middle 95% of men’s bladders fall?
Middle 95% falls between 2 standard deviation of the mean
μ ± 2σ
μ - 2σ
550 - 2(100)
= 550 - 200
= 350 ml
μ + 2σ
= 550 + 2(100)
= 550 + 200
= 750 ml
Middle 95% = 350 ml to 750 ml
c. What proportion of male bladders are between 500 and 600 ml?
For 500ml
z = 500 - 550/100
= -0.5
Probability value from Z-Table:
P(x = 500) = 0.30854
For 600ml
z = 600 - 550/100
= 0.5
Probabilty value from Z-Table:
P(x = 600) = 0.69146
Proportion of male bladders are between 500 and 600 ml
P(x = 600) - P(x = 500)
0.69146 - 0.30854
= 0.38292
≈ 0.3829
d. What volumes do the middle 90% of men’s bladder fall?
The z score for middle 90% + / – 1.645
Hence,
1.645 = x - 550/100
1.645 × 100 = x - 550
164.5 + 550 = x
x = 714.5 ml
-1.645 = x - 550/100
-1.645 × 100 = x - 550
- 164.5 + 550 = x
x = 385.5ml
Middle 90% of men’s bladder fall = 385.5ml to 714.5 ml
Place the terms into the correct column that describes the reactions of photosynthesis.
Word bank:
Processes: ATP Synthase, Calvin Cycle, Electron Transport Chain, Photosystem I, Photosystem II
Locations: Stroma, Thylakoids membrane
Reactants: ADP, ATP, Carbon Dioxide, NADP+, NADPH, Sunlight, Water
Products: ADP, ATP, NADPH, NADP+, Oxygen, Sugars
Answers
Answer:
Please find the correct placement in a tabular format in the attached image. The explanation has been done below.
Step-by-step explanation:
The process of photosynthesis occurs in two stages viz: light-dependent and light-independent reactions.
- In the light-dependent reaction, which occurs in the THYLAKOID MEMBRANE of the chloroplast, energy from SUNLIGHT is used to breakdown WATER to release electrons in order to synthesize ATP and NADPH from ADP and NADP+. In a nutshell, the processes involved in this stage are Electron transport chain, photosystem I, photosystem II, and ATP synthase.
- In the light-independent stage, also called CALVIN CYCLE, the ATP, NADPH, and CO2 are used as reactants to synthesize SUGAR (glucose), NADP+ and ADP (which goes back to the first stage) as products.
____
Solve √3x+4 −2=3
Answers
Answer:
[tex]\sqrt[/tex]3x+4=5
Step-by-step explanation:
3x+4=25
3x=21
x=7
(30 POINTS NEED HELP FAST)
A line has a slope of 2 and goes through the point (4,−3). What is the equation of this line in Standard Form?
−2x+y=−5
2x+y=−5
−2x+y=5
−2x+y=−11
Answers
Answer: −2x+y=−11
(4,-3) = −2x+y=−11.
Answer: −2x+y=−11.
A hockey player needs to shoot a puck 55 m from his current location to his opponents goal to score a goal after the shot the puck is 120 cm from his opponents goal if there are 100 cm in 1 m how many meters did the puck travel
Answers
Answer:
Step-by-step explanation:
hockey canada
Answer:
The puck changes direction at
✔ (25, 0) .
The puck goes into the opponent’s score zone located at
✔ (50, 20)
, because the graph is
✔ symmetric .
Step-by-step explanation:
In Mario kart the special blocks are programmed to deliver 3 green shells for every 11 bananas.if in the last game characters received 104 more bananas than green shells, how many green shells were received?
Answers
Answer:
look im putting this here bc i have to answer 50 questionsfor a quest sdo dont report me ;-;
Step-by-step explanation:
The access code to a house’s security system consists of eight digits. How many different codes are available if each digit can be repeated? Please show work!
Answers
Answer:
Consider one of eight positions separately from all others. There are 10 possible ways to choose
a digit to place on this position since there are ten digits from 0 to 9, and this choice is
independent of all other positions since each digit can be repeated and there is no restriction on
how to choose digits.
So, we have 8 positions and each one is filled by a digit in 10 ways independently from each other,
therefore the total number of possible codes equals to ways it can be done for each independent
position multiplied altogether. This is 10 × 10 × … × 10 = 108
(100 million).
Answer: 108 different codes.
Step-by-step explanation:
I need help with this question
Answers
Answer:
49 or 1
Step-by-step explanation:
answer 1 14+10+13+12=49 answer 2 (14+10)-(13+12)=1
On Monday, Mr. Sanchez started reading a 225-page biography. He plans to read 15 pages each day until he finishes the book. Write an explicit function to represent the number of pages he has left to read depending on the day number; Monday is day number 1, Tuesday is day number 2, and so on. Find f(5) and interpret its meaning in this situation.
Answers
Answer:
Step-by-step explanation:
answen
Step-by-step explanationAt a bake sale there were 72 raisin cookies sold. If the ratio of raisin cookies sold to oatmeal cookies sold was 9 : 1, what is the combined amount of raisin and oatmeal cookies sold?
Answers
Answer:
80
Step-by-step explanation:
72/9 is 8
9x8 is 72
so 1x8 is 8
72 plus 8 is 80
Can someone answer this and explain how to solve the 3 with the exponent of -4?
Answers
Answer:
3⁷
Step-by-step explanation:
When you multiplying or dividing numbers with exponents, you keep the base the same and specifically with dividing, you subtract the exponents themselves. So, you would be doing 3-(-4), which is 7.
[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]
Actually Welcome to the Concept of the Exponents and power,
Since we know the concept that, any power in denominator of a fraction is shows as negative power when it comes to the Numerator of the fraction,like eg:-
[tex]1 \div ( {5}^{8} ) = {5}^{ - 8} [/tex]
so we apply here same,
also
[tex]1 \div ({5}^{ - 8} ) = {5}^{8} [/tex]
so we get as,
[tex] {3}^{3} \div {3}^{ - 4} = {3}^{3} \times {3}^{4} [/tex]
this is the answer.
You believe that requiring students to attend a series of presentations on study skills will improve their grades. You are concerned that boys and girls might react differently to such a series, and that students in grades 9 and 10 might react differently than those in grades 11 and 12. You set up an experiment involving 100 students in ninth and tenth grade and 100 students in eleventh and twelfth grade. (Assume there are equal numbers of girls and boys in each grade.) You intend to measure improvement based on pre- and post-treatment grade-point averages. A. Describe the design of an experiment to help you determine if a set of presentations on study skills is effective in improving grades. AP Statistics Page 5 of 13 Exam: Final Exam User Name: Instructor: Date: (print clearly) B. Suppose you have 50 students and need to assign them to two groups of equal size. Describe a randomization procedure that would achieve this. C. Suppose you have 50 students and need to assign them to two independent groups. Describe a randomization procedure that would achieve this.
Answers
Answer:
it will be equal and keep it up you will make good grades
Step-by-step explanation:
The design of an experiment in the research to help determine if a set of presentations is simply to consider two groups depending on the gender.
What is a research?It should be noted that a research simply means an enquiry that is done to achieve a particular information.
In this case, the design of an experiment in the research to help determine if a set of presentations is simply to consider two groups depending on the gender.
Also, the randomization procedure that would achieve this is the ANOVA.
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Does the following road sign have rotational symmetry?
Yes
No
Answers
Answer:
YES
Step-by-step explanation:
ITS JUST YES
Determine the solution set of each equation
A.x²+6x-16=0
b.x²-25=0
c.3y²=3y+60
d.y²+9y-36=0
e.8x²=6x-x²
Answers
Answer:
weak in maths sorry I cannot give answer
During each week of piano lessons, Deb learns to play 2 new pieces. Inall, how many weeks of piano lessons will Deb need before she will be able to play a total of 26 pieces?
_______Weeks
Answers
Answer:
13 weeks
Step-by-step explanation:
it will take 13 weeks because 26 devided by 2 is 13.
