The solution is Yes
The point P ( 2 , 5 ) lies on the equation of line y = 3x - 1
What is an Equation of a line?
The equation of a line is expressed as y = mx + b where m is the slope and b is the y-intercept
And y - y₁ = m ( x - x₁ )
y = y-coordinate of second point
y₁ = y-coordinate of point one
m = slope
x = x-coordinate of second point
x₁ = x-coordinate of point one
The slope m = ( y₂ - y₁ ) / ( x₂ - x₁ )
Given data ,
Let the equation of line be represented as A
Now , the value of A is
y = 3x - 1 be equation (1)
Let the point be represented as P
The coordinates of P is = P ( 2 , 5 )
Substituting the values of x and y in the equation , we get
y = 3x - 1
when x = 2 and y = 5 , we get
5 = 3 ( 2 ) - 1
5 = 6 - 1
5 = 5
Therefore , the solution is true
Hence , the point P ( 2 , 5 ) lies on the equation of line
To learn more about equation of line click :
https://brainly.com/question/14200719
#SPJ2
Calcula la longitud en YARDAS de
un trayecto A que mide 100 metros
y la longitud en
YARDAS de un trayecto B que mide 18.50
Answer:
Las longitudes solicitadas en yardas son:
Trayecto A = 109.361 yardas.Trayecto B = 20.231785 yardas.Step-by-step explanation:
Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:
1 metro = 1.09361 yardasCon ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:
Si:
1 metro = 1.09361 yardas100 metros = XEntonces:
[tex]x=\frac{100m *1.09361yardas}{1m}[/tex]Cancelamos metros y obtenemos:
x = 100 * 1.09361 yardasx = 109.361 yardasEn este caso, el trayecto A en yardas corresponde a 109.361 yardas. El mismo procedimiento puede aplicarse para el trayecto B:
Si:
1 metro = 1.09361 yardas18.50 metros = XEntonces:
[tex]x = \frac{18.50m*1.09361yardas}{1m}[/tex]Cuando se cancelan los metros se obtiene:
x = 18.50 * 1.09361 yardasx = 20.231785 yardasAsí, el trayecto B en yardas corresponde a 20.231785 yardas.
Please please help please please ASAP
Answer:
5.55
Step-by-step explanation:
With reference angle 48°
perpendicular (p) = x
base (b) = 5
Now
tan 48° = p / b
1.11 = x / 5
x = 1.11 * 5
x = 5.55
What is the solution for −40 = 10c?
A. c = 1
B. C = -1
C. c = -4
D. c = 4
Answer:
C. c = -4
Step-by-step explanation:
you must get c by itself. you have to divide both sides by 10. this gets rid of the 10c and keeps both sides equal
-40/10 = c
c = -4
Please help me answer this question
Answer:
4x-2+y-4
Step-by-step explanation:
Answer:
x = 7, y = 16
Step-by-step explanation:
the sides with measure 2x + 5 and x + 12 are congruent, so
2x + 5 = x + 12 ( subtract x from both sides )
x + 5 = 12 ( subtract 5 from both sides )
x = 7
Then
x + 5 = 7 + 5 = 12
The sides with measure y - 4 and x + 5 are congruent, so
y - 4 = x + 5, that is
y - 4 = 12 ( add 4 to both sides )
y = 16
10x^2 y –5xy^2–2x^2 y +x^2y –3xy^2
Answer:
[tex]9x^{2}y - 8xy^{2}[/tex]
Step-by-step explanation:
[tex]10x^{2}y - 5xy^{2} - 2x^{2}y + x^{2}y - 3xy^{2} =[/tex] --> Equation
[tex](10x^{2}y - 2x^{2}y + x^{2}y) + (- 5xy^{2} - 3xy^{2}) =[/tex] --> Combine Like Terms
[tex]9x^{2}y - 8xy^{2}[/tex] --> Simplify
Hope this helped! <3
Find an equation of the line perpendicular to the graph of 14x-7y=8 passing through the point at (-2,5)
Answer:
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
Step-by-step explanation:
Given equation of line is:
14x-7y=8
First of all, we have to convert the given equation into slope-intercept form to find the slope of the line
The slope-intercept form is:
[tex]y = mx+b[/tex]
Now
[tex]14x-7y=8\\14x-8 = 7y\\\frac{7y}{7} = \frac{14x-8}{7}\\y = \frac{14}{7}x - \frac{8}{7}\\y = 2x - \frac{8}{7}[/tex]
The co-efficient of x is 2 so the slope of given line is 2
Let m1 be the slope of line perpendicular to given line
The product of slopes of two perpendicular lines is -1
[tex]m.m_1 = -1\\2.m_1 = -1\\m_1 = -\frac{1}{2}[/tex]
The equation for line perpendicular line to given line will be:
[tex]y = m_1x+b\\y = -\frac{1}{2}x+b[/tex]
To find the value of b, putting (-2,5) in the equation
[tex]5 = -\frac{1}{2}(-2) + b\\5 = 1+b\\b = 5-1\\b = 4[/tex]
The final equation is:
[tex]y = -\frac{1}{2}x+4[/tex]
Hence,
Equation of line perpendicular to given graph is:
[tex]y = -\frac{1}{2}x+4[/tex]
andre came up with the following puzzle. i am three years younger than my brother 2 years older than my sister. my mom's age is one less than three times my brother's age. when you add all are ages you get 87. what are our ages?
try to solve the puzzle
Answer:
Andre is: 13
Andre's brother is: 16
Andre's sister is: 11
Andre's mom is: 47
Add all their ages up and the total will be 87.
What is 0.3 recurring as a fraction?
Answer:
.3 recurring as a fraction is 1/3
The dance committee at Jefferson High School decides to charge students different prices for dance tickets depending on whether they are a student at Jefferson or at another school. A student attending Jefferson pays $5, whereas a student attending a different school pays $10. The dance committee didn't make different kinds of tickets, and they lost track of how many of each kind of ticket they sold. They know they sold a total of 500 tickets and they brought in $3,135. How many Jefferson and non-Jefferson students came to the dance?
Answer:
30
Step-by-step explanation:
The number of Jefferson students and the number of non-Jefferson students if A student attending Jefferson pays $5, A student attending a different school pays $10 is 373 and 127 respectively.
What is the equation?Equation: A declaration that two expressions with variables or integers are equal. In essence, equations are questions and attempts to systematically identify the solutions to these questions have been the driving forces behind the creation of mathematics.
Given:
A student attending Jefferson pays $5,
A student attending a different school pays $10,
The total number of tickets = 500,
The total money earned = $3135,
Write the equation of the given statement as shown below,
x + y = 500
5x + 10y = 3135
Here, x is the number of Jefferson students and y is the number of non-Jefferson students,
Solve the equation by elimination method as shown below,
y = 127,
x = 500 - 127 = 373
Thus, the number of Jefferson students is 373 and the number of non-Jefferson students is 127.
To know more about equation:
https://brainly.com/question/12788590
#SPJ2
Which expression is equivalent to -1/3(6x+15)?
Please help me :(
A) -2x+12
B)-2x+2
C)-2x-2
D)-2x-8
Answer:
-2x+5
Step-by-step explanation:
Bro the answer are wrong there should on more options of -2x+5
These is explainetation
-1/3 × 6x + -1/3 × 15 ( because -1/3 is multipled to whole bracket)
-2x + 5
A cell phone costs 120 dollars. The price reduced 30% for a sale. How much is the savings
Answer:
You save 36 dollars.
Step-by-step explanation:
30% of 120 is 36.
You spend $84
Which expression is equivalent to 18,090
Answer:
10,000+8,000+90
Step-by-step explanation:
If you add the numbers above, they equal the number 18,090 which makes them equivalent.
Malcolm has $3600 dollars in his account and makes automatic $600 monthly
mortgage payments.
Answer:
I do not know if dividing or multiplying or addition
if its divideing = 6
If your doing math of addition and there is a certain amount of months add 600 to 3600 Till you add how many months there were
Step-by-step explanation:
Can some one really help me please!!!! :(((
Answer:
for the first on its a=24 and for the second its a= 48
Step-by-step explanation:
for the first one you have to find the length which is 8 and then you find the width which is 3 then you multiply that to get 24
for the second one you find the base which is the strait line which is 8 then you find the height which is 6 then you multiply it to get 48 i hopes this helped!
Lisa started with $50 and saved $15 a week. Which equation describes the growth of her savings with X as the number of weeks and Y as the total dollars?
Answer:
I believe its X=15Y+50
Step-by-step explanation:
Can somebody help me with this one thank you.
Answer:
3/4
Step-by-step explanation:
6/8 divided by 2 is 3/4
HELP PLEASE :( I WOULD APPRECIATE SO MUCH
How many solutions does the system of linear equations represented in the graph below have?
Answer:
It has no solution because the two lines would never meet since they have the same slope of -3
Answer:
No solution because the lines are parallel
what is the value of x? -6x=90
Please show you got the answer
Answer:
-15
Step-by-step explanation:
-6x = 90
x = 90 ÷ -6
x = -15
Answer:
X = -15
Step-by-step explanation:
90/-6 is equal to -15.
You divide the number from the side with the variable from the other side of the = sign.
8 5/6 + 2 3/4 +__=14 this is fractions so the answer should be a fraction please help
Answer:
2 5/12
Step-by-step explanation:
8 5/6 + 2 3/4 = 8 10/12 + 2 9/12 = 10 19/12 = 10 + 1 7/12 = 11 7/12
13 12/12 - 11 7/12 = 2 5/12
Can somebody help me with the list 3. Will mark brainliest
Answer:
3. < ACB=<DCE
Step-by-step explanation:
Both are vertical angles & they are equal
Which expression is equivalent to 7m + 5 + 6 + 3m
Answer:21
Step-by-step explanation:
Answer: 10 + 11m
Step-by-step explanation:
First you add 7m + 3m = 10m. Then you do 5+6=11. And that would get yo 10+11m
15 3/5 - 3 2/7 = ?
A. 12 31/35
B. 12 11/35
C. 11 21/35
D. 11 1/35
Answer:
its A
Step-by-step explanation:
hope this helps
PLEASE HELP ME!!! ON THE FIRST QUESTION!
Answer:
9ber
Step-by-step explanation:
Aight will do
If y is a positive integer, for how many different values of y is [tex]\sqrt[3]{144\y}[/tex]a whole number?
Answer:
2
Explanation:
I'll explain later, it has to do with prime factors, and perfect cubes.
The two values of y that work are 18, and 144.
³√(144/18) = ³√(8) = 2 [whole number]
³√(144/144) = ³√(1) = 1 [whole number]
I do draws a blueprint of a house using the scale 1 in equals 6 ft in the kitchen has a length of 24 ft what is the length of the kitchen on the blueprint
Answer:
Length of kitchen on blueprint = 4 in.
Step-by-step explanation:
Scale used to draw a blueprint of a house :
6 feet = 1 in.
Therefore, 1 feet = [tex]\frac{1}{6}[/tex] in.
If the length of kitchen = 24 feet
Then the length of kitchen on the blueprint will be
= [tex]\frac{1}{6}\times 24[/tex]
= 4 in.
Therefore, length of kitchen on blueprint is 4 in.
someone please help me
Answer:
(X,Y)=(1,-4)
Step-by-step explanation:
pls help will give brainiest
A boat leaves a dock and travels 5 miles due south, then 12 miles due west. How far is the boat from the dock?
Which number is irrational?
-4
2/9
Square root 11
8.26 repeating 6
Answer:
8.26 repeating 6/ square root 11
Step-by-step explanation:
Examples of Irrational Numbers
Pi, which begins with 3.14, is one of the most common irrational numbers. ...
e, also known as Euler's number, is another common irrational number. ...
The Square Root of 2, written as √2, is also an irrational number.
Answer:
C
Step-by-step explanation:
edge 2020 took the quiz
If the measures of two angles of a triangle are 102° and 27°, what is the measure of the third angle?
The measure of the third angle isº
Answer:
75°
Step-by-step explanation:
this isnt really step by step but its some thing
102
-27=
75°
The wildflowers began blooming by my house at the beginning of March. The first week there were 72 blooms. After week two, there were 144 flowers in bloom. If the flowers continue to bloom at the same rate each week, how many flowers will there be after 7 weeks?
Answer:
answer: 504 blooms <3
Step-by-step explanation:
if you add 72 and 72 then you get 144 so that means 72 blooms each week so if you multiply 72 x 7 you get 504!