Tell whether the lines through the given points are parallel, perpendicular, or neither.
Line 1: (1, 0), (7, 4)
Line 2: (7, 0), (3, 6)
Answers
Answer: Perpendicular
Step-by-step explanation: If you graph these points you will get two lines that from at a right angle and cross through each other. This means they are perpindicular.
Answer:
Perpendicular
Step-by-step explanation:
Lines that are parallel have the same slope, and lines that are perpendicular have an negative reciprocal slope.
To clarify, the reciprocal of 2 would be 1/2, and the negative reciprocal of 2 would be -1/2.
Calculate the slope of the lines by dividing the difference in y by the difference in x:
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\\\m_1=\frac{4-0}{7-1}=\frac{4}{6}=\frac{2}{3}\\\\m_2=\frac{6-0}{3-7}=\frac{6}{-4}=-\frac{3}{2}[/tex]
m₂ is the negative reciprocal of m₁, so these lines are perpendicular.
Showing the graph in the image as an example, though the equations only have the slope and not the y-intercept so the points wont be on the lines.
Related Questions
x−6y=−13
7x+2y=41
find the x and y value
Answers
Answer:
X=5
Y=3
(5,3)
Step-by-step explanation:
Solve using substitution
A 16-ounce can of mixed nuts includes 6 ounces of cashews and 10 ounces of almonds. What is the ratio of almonds to mixed nuts in this can of nuts?
Answers
Step-by-step explanation:
Total=16 ounces
Ratio of almonds to mixed nuts
almonds:mixed nuts
10 : 16
5 : 8
The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism and the cube?
Answers
Answer:
[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]
[tex]\displaystyle V_C = 27x^3[/tex]
Step 2: Find Combined Volume
[Set up] Add: [tex]\displaystyle V_P + V_C = V_{P + C}[/tex]Substitute in variables: [tex]\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x[/tex]Combine like terms: [tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]Pleaseeeee helpppp asapp
Answers
Help help help math
Answers
Answer:
C ≈ 54
Step-by-step explanation:
The circumference (C) is calculated as
C = πd ( d is the diameter )
Here d = 18 , then
C = π × 18 ≈ 3 × 18 = 54
How many ways are possible to select a president and vice president from an
association with 5400 members?
Answers
The Answer there are 9*8 = 72 ways to choose a president and vice president
Step-by-step explanation:
Asha has $100 on a movie theater
gift card. Each time she buys a ticket
to a movie it costs her $8.75. Write
an equation that Asha can use to find
×, the number of tickets she can buy
if she wants to keep a $15 balance on
the gift card.
Answers
Find the LCM of 5, 6 and 9.
Answers
Step-by-step explanation:
90.......................
Answer:
90.
Step-by-step explanation:
We have:
5
6 = 3 * 2
9 = 3 * 3
LCM = 5 * 3 * 2 * 3 = 90
As both 6 and 9 have a 3 in common this 3 is only used once in the calculation.
mile is going to give buddys dads company 5 hour and not a minute more. what part of the day is he giving them written as a fraction and a percent
Answers
The fraction of the time given in a day is 1/288
Given the following parameters
The minute that mile gave his buddy = 5minutsWe are to get the fraction of this time in a day.
Convert 1 day to minute
1 day = 24 hrs * 60 mins 1 day = 1440 minutsFraction = 5/1440
Fraction = 1/288
Hence the fraction of the time given in a day is 1/288
Learn more on fractions here: https://brainly.com/question/78672
Cellular phone service that charges per-minute will charge $15 for 70 minutes. How much would 1077 minutes cost?
Answers
Answer:
$5026
Step-by-step explanation:
if you divide 70 by 15 you get 4.66666667
then multiply 4.6666667 by 1077 and you get 5026
Marielle was in an accident. She was traveling down a road at
36 mi/h when she slammed on her brakes. Her car left two skid
marks that averaged 50ft in length with a difference of 4ft between
them. Her brakes were operating at 80% efficiency at the time of the
accident.
a. What was the possible drag factor of this road surface?
b. What were the lengths of each skid mark?
Answers
Answer:
a.?????
b.52 ft. and 48 ft.
What situation could be modeled with the equation of 40 devided by 8 equals 5
Answers
Answer:
Go to explanation
Step-by-step explanation:
You can say: At your birthday party, you have 7 friends who were there with you. There are 40 cookies to be shared with all of you, and you want it to be split equally. How many cookies does each person get?
−3(y+5)=15 someone please help me with this question my assignment is already late
Answers
Answer: -10
Step-by-step explanation:
Simplifying
-3(y + 5) = 15
Reorder the terms:
-3(5 + y) = 15
(5 * -3 + y * -3) = 15
(-15 + -3y) = 15
Solving
-15 + -3y = 15
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '15' to each side of the equation.
-15 + 15 + -3y = 15 + 15
Combine like terms: -15 + 15 = 0
0 + -3y = 15 + 15
-3y = 15 + 15
Combine like terms: 15 + 15 = 30
-3y = 30
Divide each side by '-3'.
y = -10
Simplifying
A shopkeeper bought 2 mobile set for 5000 each . If he sold a mobile with 20% profit and 20% loss . How much percent profit or loss did he have?
Answers
Answer: NO GAIN for the shopkeeper
Step-by-step explanation:
20/100 *5000=1000
Which is the verbal expression for (n+1) to the 2nd power ?
Answers
Answer:
1 more than n squared
Step-by-step explanation:
find the slope of the line that passes through the pair of points (3,-5), (-4,1)
Answers
Answer:
-6/7
Step-by-step explanation:
y2 - y1 / x2 - x1
-5 - 1 / 3 - -4
-6 / 7
If x is not equal to zero, what is the value of [tex]\frac{4(3x)^2}{(2x)^2}[/tex]
Answers
Answer:
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Evaluations
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Distributive Property
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{4(3x)^2}{(2x)^2}[/tex]
Step 2: Simplify:
Rewrite [Exponential Distributive Property]: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(3^2x^2)}{2^2x^2}[/tex][Order of Operations] Evaluate exponents: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{4(9x^2)}{4x^2}[/tex][Order of Operations] Multiply: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36x^2}{4x^2}[/tex]Simplify: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = \frac{36}{4} ,\ x \neq 0[/tex][Order of Operations] Divide: [tex]\displaystyle \frac{4(3x)^2}{(2x)^2} = 9 ,\ x \neq 0[/tex][tex]\\ \sf\longmapsto \dfrac{4(3x)^2}{(2x)^2}[/tex]
[tex]\\ \sf\longmapsto\dfrac{ 4(9x^2)}{4x^2}[/tex]
[tex]\\ \sf\longmapsto \dfrac{36x^2}{4x^2}[/tex]
Take x^2 common and cancel.[tex]\\ \sf\longmapsto \dfrac{x^2}{x^2}\left(\dfrac{36}{4}\right)[/tex]
[tex]\\ \sf\longmapsto \dfrac{36}{4}[/tex]
[tex]\\ \sf\longmapsto 9[/tex]
Assume the mean life of an iPhone is 5 years (60 months)and a standard deviation of 8 months If the age in years at which an iPhone is replaced is approximately normally distributed, what is the probability that the phone will need to be replaced between 60-75 months? A 47% B 82% C 54% D 68%
Answers
Answer:
Answer:
safe speed for the larger radius track u= √2 v
Explanation:
The sum of the forces on either side is the same, the only difference is the radius of curvature and speed.
Also given that r_1= smaller radius
r_2= larger radius curve
r_2= 2r_1..............i
let u be the speed of larger radius curve
now, \sum F = \frac{mv^2}{r_1} =\frac{mu^2}{r_2}∑F=
r
1
mv
2
=
r
2
mu
2
................ii
form i and ii we can write
v^2= \frac{1}{2} u^2v
2
=
2
1
u
2
⇒u= √2 v
therefore, safe speed for the larger radius track u= √2 v
The longest side of a triangle is always opposite the:
Answers
Answer:
angle with the greatest measure
Step-by-step explanation:
the greater length of the triangle is always opposite from the greater angle. hope this helps :)
Solve and show your work for each question...
Answers
[tex]0.\overline{36} = \dfrac{36-0}{99} = \dfrac{36}{99} = \dfrac{4}{11}\\\\\\0.3\overline{6}= \dfrac{36-3}{90} = \dfrac{33}{90} = \dfrac{11}{30}\\\\\\0.36 = \dfrac{36}{100} = \dfrac{9}{25}[/tex]
Find P(Y|B) from the information in the table. A 5-column table has 4 rows. The first column has entries A, B, C, Total. The second column is labeled X with entries 8, 6, 23, 37. The third column is labeled Y with entries 80, 34, 56, 170. The fourth column is labeled Z with entries 40, 45, 32, 117. The fifth column is labeled Total with entries 128, 85, 111, 324. To the nearest tenth, what is the value of P(Y|B)? 0. 2 0. 3 0. 4 0. 5.
Answers
Answer:
0.4 is the answer
Step-by-step explanation:
Answer:graph A
Step-by-step explanation:
because I clicked the wrong one ♀️
The length of a rectangle is 5cm more than its breadth . if the perimeter of the rectangle is 40cm , find the dimension of the rectangle .
Don't give unwanted ans to get the points
no spams and plagiarism ( kindly stay out of the question if you don't know the ans )
well explained ans needed
thx !!
Answers
perimeter of the rectangle = 2 ( l + b )
2 ( x + x + 5 ) cm 2 ( 2x + 5') cm ( 4x + 10 ) cm
4x + 10 = 40
4x = 40 10 ( transpose 10 to RHS )
x = 30/4 = 7.5 ( divide both sides by 4 )
lenght of the rectangle = x + 5 = 7.5 + 5 = 12.5 cm breadth of the rectangle = x = 7.5 cmATQ
[tex]\\ \sf\longmapsto 2(x+x+5)=40[/tex]
[tex]\\ \sf\longmapsto 2(2x+5)=40[/tex]
[tex]\\ \sf\longmapsto 2x+5=20[/tex]
[tex]\\ \sf\longmapsto 2x=15[/tex]
[tex]\\ \sf\longmapsto x=7.5[/tex]
Length=12.5cmBreadth=7.5cmwhen a number is decreased by 3% the result is 80. what was the original number?
Answers
Answer:
82.47
Step-by-step explanation:
.93n = 80
n = 80/.93
n = 82.47
Which of the following is the missing reason? Statements Reasons two thirds times x plus 7 equals negative 5 Given 2x 21 = â’15 Multiplication Property of Equality 2x = â’36 Subtraction Property of Equality x = â’18 ? Division Property of Equality Distributive Property Addition Property of Equality Subtraction Property of Equality.
Answers
The correct option is B. Distributive property
Given,
[tex]\frac{2}{3} x+7=-5\\[/tex]
On solving the above equation,
multiplying both sides by 3 we, get
[tex]2x+21=-15[/tex]
now subtracting 21 from both the sides,
[tex]2x=-36\\[/tex]
dividing both the sides by 2 we get,
[tex]x=-18[/tex]
Since in the above steps we follow all the giving property except the distributive property.
Hence the correct option is B. Distributive property.
For more details follow the link:
https://brainly.com/question/13130806
34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
recorded beginning at noon. Also interpret the meaning of x = 3.5.
Answers
The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.
x = 3.5 represents 3.5 hours after noon.
How to Find Average Rate of Change Over an IntervalGiven an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:
[tex]\frac{f(b) - f(a)}{b - a}[/tex]
Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.
a = 0.5
f(a) = 47 (from the table, when x = 0.5, y = 47)
b = 3.5
f(b) = 62 (from the table, when x = 3.5, y = 62)
Plug the values into [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Average rate of change = [tex]\frac{62 - 47}{3.5 - 0.5} = \frac{15}{3} = 5[/tex]
Average rate of change = 5
x = 3.5 represents 3.5 hours after noon.
Learn more about average rate of change on:
https://brainly.com/question/11627203
Hi can someone pls help me with this!!!
Answers
the domain is the x value (first number) and the range is the y value (second number)
(if a number appears more than once in the domain or range, like in number 1 you don't have to write it again.)
to graph the domain and range you just plot the points,
and to map them you have to put the x values in the first oval and the y values in the second, usually in order from smallest to largest.
then you have to draw arrows connecting each x value to the y value that was in the same pair. just like when writing down the domain/range, if a number comes up again you don't have to write it down again. instead, you might have two or more arrows connecting to the same number.
simplify 3^2 x 3^4 x 3^6 A3^10 B3^12 C3^48 D3^0
Answers
Answer:
[tex]\boxed{\sf\: B)\:3^{12}}[/tex]
Step-by-step explanation:
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex]
Apply exponent rule:
[tex]\hookrightarrow \boxed{\sf a^b\times \:a^c=a^{b+c}}[/tex]
[tex]\sf 3^2\times \:3^4\times \:3^6[/tex][tex]\sf 3^{2+4+6}[/tex]Add the numbers:
[tex]\sf 2+4+6=12[/tex][tex]\sf \:3^{12}[/tex]________________________________
Explain WHAT WOULD HAPPEN TO motion IF friction DID NDT EXIST.
Answers
Answer:
If friction did not exist, it would be hard for us to slow down in running, or putting breaks on a car, and more!
If friction did not exist, your car will slide down the road even if you try your best to put the brakes on a car. Friction is a very important force to slow down things that are moving very fast
Step-by-step explanation:
Hoped this helped.
[tex]GeniusUser[/tex]
this states that you can multiply the addends of a number and then add the products.
Answers
Answer:
Distributive Property
Step-by-step explanation:
This is my best guess because you didn't put the topic or give an more information.
How does a plastic fork, whale, hospital and chocolate bar relate with each other?
Answers
Answer:
They all include the letter A
Step-by-step explanation:
