Answer:
Léase explicación detallada para mayor entendimiento.
Step-by-step explanation:
La metodología a utilizar es la siguiente, un número de base 10 es una combinación de dígitos entre 0 y 9, el dígito a la derecha del observador es el dígito pivote, el orden del dígito aumenta a medida que el observador dirige la mirada hacia su izquierda. Asimismo, el orden del dígito disminuye a medida que el observador dirige la mirada hacia su derecha.
Ejemplo - Ponga en orden descendente el orden de los dígitos de 3605.
Se descubre que el 5 es el dígito pivote (Orden 0), 0 esta un orden por encima del dígito pivote (Orden 1), 6 esta a dos órdenes por encima del dígito pivote (Orden 2) y 3 está tres órdenes por encima del dígito de menor pivote (Orden 3). En consecuencia, la jerarquía de los dígitos en orden descendente es 3 - 6 - 0 - 5.
Ejemplo - Ponga en orden ascendente el orden de los dígitos de 245,471.
Se descubre que el 5 es el dígito pivote (Orden 0), 4 está un orden por encima del dígito pivote (Orden 1) y 2 está dos órdenes por encima del dígito pivote (Orden 2). Asimismo, 4 está un orden por debajo del dígito pivote (Orden -1), 7 está dos órdenes por debajo del dígito pivote (Orden -2) y 1 está tres órdenes por debajo del dígito pivote (Orden -3). En consecuencia, la jerarquía de los dígitos en orden ascendente es 1 - 7 - 4 - 5 - 4 - 2.
Ahora, se puede descomponer un número conforme el número a partir de sumar cada dígito multiplicado por 10 elevado por el orden que le corresponde dentro del número, cuyo procedimiento se explica con un ejemplo:
Ejemplo - Descomponga 1268.153 en sumas y potencias de 10.
El dígito 8 es el dígito pivote, existen tres dígitos cuyo es superior al del dígito pivote y tres dígitos con un orden inferior al dígito pivote, entonces este número real se puede reescribir como sigue en orden descendente:
[tex]1268.153 = 1 \times 10^{3} + 2 \times 10^{2} + 6\times 10^{1} + 8 \times 10^{0} + 1 \times 10^{-1} + 5\times 10^{-2} + 3 \times 10^{-3}[/tex]
What is the sum of the exterior angles of a
14-gon?
Answer:
360 degrees
Step-by-step explanation:
The sum of all exterior angles in any convex polygon is 360 degrees.
Answer:
360 degrees.
Step-by-step explanation:
The sum of exterior angles of every polygon is 360 degrees so the What is the sum of the exterior angles of a 14-gon is also equal to 360 degrees.
A cup holder in a car contains 19 quarters, 39 dimes, some number of nickels, and 58 pennies. If all the coins in the cup holder equal $10.08, then how many nickels are in the cup holder?
Answer:
17 nickels
Step-by-step explanation:
To be able to find the answer, you can say that the sum of the value of each coin multiply for its quantity is equal to 10.08, which you can express as follows:
quarters= 0.25
dimes= 0.10
nickels= 0.05
pennies= 0.01
(0.25*19)+(0.10*39)+(0.05*x)+(0.01*58)=10.08, where
x= the quantity of nickels
Now, you can solve for x:
4.75+3.9+0.05x+0.58=10.08
0.05x=10.08-4.75-3.9-0.58
0.05x=0.85
x=0.85/0.05
x=17
According to this, the answer is that there are 17 nickels in the cup holder.
What is the slope of the line that passes through (5,-2) and (-3,4)
Answer:
Slope = [tex]\frac{-3}{4}[/tex]
Step-by-step explanation:
(5 , -2) ; (-3, 4)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\=\frac{4-[-2]}{-3-5}\\\\=\frac{4+2}{-3-5}\\\\=\frac{6}{-8}\\\\=\frac{-3}{4}\\\\[/tex]
How to convert the equation
[tex]y = \frac{q}{5 {}^{x} } [/tex]
to linear form
Answer:
[tex]xlog 5 = logq - log y\\[/tex]
Step-by-step explanation:
Given the equation [tex]y = \frac{q}{5^{x} }[/tex], to convert to linear form, the following steps must be followed;
[tex]5^{x} = \frac{q}{y}\\ y5^{x} = q\\taking\ the\ log\ of\ both\ sides\\log(y5^{x}) = log q\\logy + log 5^{x} = log q\\log y + xlog5 = log q\\xlog 5 = logq - log y\\[/tex]
The final expression is a linear form of the expression
In an arena, each row has 199 seats. One day, 1990 students are coming to attend a soccer match. It is only known that at most 39 students are from the same school. If students from the same school must sit in the same row, determine the minimum number of rows that must be reserved for these students.
Answer: 10 rows
Step-by-step explanation:
Given:
Seats on each row = 199.
Population of student attending = 1990.
no of students from same school = 39.
Therefore;
If the students from same school must seat in same row determine the number of rows that most be reserved for these students.
1. At most 39 students from same school
= total population of all students/ students from same school
= 1990 / 39
= 51 schools would be attending the event
2. No of students a row can accommodate
= Seats on each row / no of students from each school
= 199/39
= 5
3. No of rows to that most be reserved
= 51 / 5
= 10
So 10 rows must be reserved.
Pls help ima give BRAINLIST and a like
Answer:
the letter in the green box should be 3.
i believe the full equation should be y= -3/2 x+1
Step-by-step explanation:
the y side keeps decreasing by 1 1/2 which in improper fraction form is -3/2. the x side keeps increasing by 1.
A jar contains 20 coins.
There are only coins of value 1p, 2p, 5p and 10p in the jar.
A coin is taken at random from the jar.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
Work out how many of each type of coin there are in the jar.
Answer:
See Attached Image, Explanation in order to understand how to calculate is below.
Step-by-step explanation:
The Jar Contains 20 Coins.
The probability that it is a 1p coin is 1/5
The probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
The Section in bold is vitally important in this question.
We know we have 4 combinations of 1p, 2p , 5p & 10p in order to make 59p, and only have 20 coins to make it.
--------------------------------------------------------------------------------------------------------------
Calculate 1p:
1/5 of 20 = 4
We know the answer is 4 as we have 20 coins, you find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
We know the answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Calculate 5p:
We know we currently have a total of 24p if we subtract that from 59 we are left with 35.
So we can work establish here that we are not going to need many 10p's. As we only have 6 coins left!.
5x5 = 25p.
Therefore you need 5, 5p's
Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
--------------------------------------------------------------------------------------------------------------
Hope this helps, mark as brainilest if found useful.
There are 1 10p coin of each type in the jar.
Given that ;
The Jar Contains 20 Coins.
Probability that it is a 1p coin is 1/5
Probability that it is a 2p coin is 1/2
The total value of the coins in the jar is 59 pence.
What is the probability?Probability refers to a possibility that deals with the occurrence of random events.
The probability of all the events occurring need to be 1.
We know we have 4 combinations of 1p, 2p , 5p & 10p. so to make 59p, and only have 20 coins to make it.
Calculate 1p:
1/5 of 20 = 4
The answer is 4 as we have 20 coins, find 1/5 of 20.
Calculate 2p:
1/2 of 20 = 10
The answer is 10 as we have 20 coins, you find 1/2 of 20.
10 (2p Coins) + 4 (1p coins) = 14
20 coins - 14 (2p & 1p coins) = 6.
Now we only have 6 remaining coins for both 5p and 10p.
Now Calculate 5p:
We know that we have a total of 24p if we subtract that from 59 we are left with 35
5x5 = 25p.
Therefore we need 5, 5p's
Now Calculate 10p:
With 1 pence left out of the 20, we need 1 10p.
Learn more about probability here;
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The value of -9 is than the value of -12 because -9 is to the of -12 on the number line.
Answer: greaterright
Step-by-step explanation:
Eight years ago, twice Manuel's age was 36. What is Manuel's age now? Pls hell
Answer:
Hey there!
Eight years ago, Manuel's age was 36/2, or 18.
Now, his age is 18+8, or 26 years old.
So, he is 26 years old now.
Hope this helps :)
Please answer this in two minutes
Answer:
D. 1800°
Step-by-step explanation:
The given polygon has 12 sides.
The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.
Where n is the number of sides of the polygon.
Thus, the sum of the interior angles of the 12 sided polygon given above is:
(12 - 2) × 180
= 10 × 180 = 1800°
Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°
factor 49x8−16y14 please answer as quick as possible
Answer:
(4y7+7x4)(−4y7+7x4)
Step by Step:
Factor 49x8−16y14
−16y14+49x8
=(4y7+7x4)(−4y7+7x4)
The factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
It is given that:
49x⁸ − 16y¹⁴
As we know the polynomial identity:
Polynomial is the combination of variables and constants systematically with "n" number of power in ascending or descending order.
[tex]\rm a_1x+a_2x^2+a_3x^3+a_4x^4..........a_nx^n[/tex]
a² - b² = (a - b)(a + b)
The expression 49x⁸ − 16y¹⁴ can be written as:
= (7x⁴)² − (4y⁷)²
After using the identity: a² - b² = (a - b)(a + b)
= (7x⁴ - 4y⁷)(7x⁴ + 4y⁷)
Thus, the factor of the expression 49x⁸ − 16y¹⁴ is (7x⁴ - 4y⁷) and (7x⁴ + 4y⁷) after using the identity.
Learn more about the expression here:
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Would someone be able to help me with this question please???
Step-by-step explanation:
4x³-2x⁴+8x+10x²-4 in standard form
Answer:
-2x⁴+4x³+10x²+8x-4
Step-by-step explanation:
Standard form for a polynomial is from highest power to lowest power
4x³-2x⁴+8x+10x²-4
-2x⁴+4x³+10x²+8x-4
The total purchase price of a new home entertainment system is $14 comma 230. If the down payment is $2300 and the balance is to be financed over 72 months at 5% add-on interest, what is the monthly payment?
Answer: the monthly payment is $192
Step-by-step explanation:
The cost of the new home entertainment system is $14230.
If the down payment is $2300, then the balance to be paid would be
14230 - 2300 = $11930
We would apply the periodic interest rate formula which is expressed as
P = a/[{(1+r)^n]-1}/{r(1+r)^n}]
Where
P represents the monthly payments.
a represents the amount of the balance
r represents the annual rate.
n represents number of monthly payments. Therefore
a = $11930
r = 0.05/12 = 0.0042
n = 72 months
Therefore,
P = 11930/[{(1+0.0042)^72]-1}/{0.0042(1 + 0.0042)^72}]
11930/[{(1.0042)^72]-1}/{0.0042(1.0042)^72}]
P = 11930/{1.352 -1}/[0.0042(1.352)]
P = 11930/(0.353/0.0056784)
P = 11930/62.125
P = $192
If point P is 4/7 of the distnace frm M to N, what ratio does the point P partiion the directed line segment from M to N
Answer: 4:3.
Step-by-step explanation:
Given: Point P is [tex]\dfrac{4}{7}[/tex] of the distance from M to N.
To find: The ratio in which the point P partition the directed line segment from M to N.
If Point P is between points M and N, then the ratio can be written as
[tex]\dfrac{MP}{MN}=\dfrac{MP}{MP+PN}[/tex]
As per given,
[tex]\dfrac{MP}{MP+PN}=\dfrac{4}{7}\\\\\Rightarrow\ \dfrac{MP+PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{MP}{MP}+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ -1+\dfrac{PN}{MP}=\dfrac{7}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{7}{4}-1=\dfrac{7-4}{4}=\dfrac{3}{4}\\\\\Rightarrow\ \dfrac{PN}{MP}=\dfrac{3}{4}\ \ \or\ \dfrac{MP}{PN}=\dfrac{4}{3}[/tex]
Hence, P partition the directed line segment from M to N in 4:3.
Help with math pls...
Answer: Option C
Step-by-step explanation: When we count all bases of the squares present
in the triangle,( do not count the number of boxes just the base of the squares) we notice that all of them covers 4 base of the squares, except option c where it covers 5 bases.
Write these numbers in standard form
Answer:
a. [tex] 4*10^{-5} [/tex]
b. [tex] 5*10^{-5} [/tex]
c. [tex] 6*10^{-6} [/tex]
d. [tex] 8*10^{-10} [/tex]
Step-by-step explanation:
To write the above given numbers in standard form, all you need to do is count how many places you have to move the decimal point till you get to a non-zero digit. The number of places you move the decimal point to the right would determine the value of the negative power you would raise to 10.
a. 0.00004:
To place our decimal point after the first non-zero digit in this number given, we would have to move the decimal point to 5 places. The digit 4, would now be multiples by 10 raised to the negative power of 4.
The standard form would be: [tex] 4*10^{-5} [/tex].
Now let's check if we're correct.
[tex] 4*10^{-1} = 4*\frac{1}{10^5} = 4*\frac{1}{100,000} = 4*0.00001 = 0.00004 [/tex]
Follow same procedure as shown above to write the rest numbers in standard form.
You should have the following as their standard form:
b. [tex] 0.00005 = 5*10^{-5} [/tex]
c. [tex] 0.000006 = 6*10^{-6} [/tex]
d. [tex] 0.0000000006 = 8*10^{-10} [/tex]
If f(x) is differentiable for the closed interval [-1, 4] such that f(-1) = -3 and f(4) = 12, then there exists a value c, -1 < c < 4 such that: A) f'(c) = 3 B) f'(c) = 0 C) f(c) = -15 D) f(c) = 3
Answer:
A) f'(c) = 3
Step-by-step explanation:
The mean value theorem says that if f(x) is continuous on the closed interval [a, b] and differentiable on the open interval (a, b), then there exists some c such that ...
a < c < b
f'(c) = (f(b) -f(a))/(b -a)
__
We are told that f(x) is differentiable on the closed interval [-1, 4], so we know it meets the requirements of the mean value theorem. Then we can conclude that there is some c such that ...
f'(c) = (12 -(-3))/(4 -(-1)) = 15/5
f'(c) = 3 . . . . for some c in the interval -1 < c < 4
A statistics professor plans classes so carefully that the lengths of her classes are uniformly distributed between 47.0 and 52.0 minutes. Find the probability that a given class period runs between 50.25 and 51.0 minutes.
Answer:
0.15 or 15%
Step-by-step explanation:
Since lengths are uniformly distributed, the probability that a class period runs between a two exact times is:
[tex]P(x_1\leq x \leq x_2)=\frac{x_2-x_1}{b-a}[/tex]
In this case, a = 47.0 and b = 52.0 minutes.
The probability that a given class period runs between 50.25 and 51.0 minutes is:
[tex]P(50.25\leq x \leq 51.0)=\frac{51.0-50.25}{52-47} \\P(50.25\leq x \leq 51.0)=0.15=15\%[/tex]
The probability is 0.15 or 15%.
Find the volume of a triangular prism that has a triangular base of 4 and height of 3 with a prism height of 11. Answer in cubic ft a0 cubic units.
Answer:
12 ??
Step-by-step explanation:
Answer:
12 cubic units
Step-by-step explanation:
1. Multiply 4 and 3
The sum of two numbers is 26. The sum of their squares is a minimum. Find the numbers.
Answer:
The numbers at 13 and 13
Step-by-step explanation:
The two numbers in question are equal, and if their sum is 26, then they must be 13 and 13.
The two numbers are (13, 13).
Given that,
The sum of the two numbers is 26.
And the sum of their square is minimum.
We have to determine,
The two numbers are.
According to the question,
Let, the first number be x,
and the second number be y.
The sum of the two numbers is 26.
[tex]x + y = 26[/tex]
And The sum of their squares is a minimum.
[tex]x^2 + y^2 = h[/tex]
Solving both the equation,
[tex]x + y = 26\\\\x = 26-y[/tex]
Substitute the value of x in equation 2,
[tex]x^2 + y^2 = h\\\\(y-26)^2 + y^2 = h \\\\y^2 + 676 -52y + y^2 = h\\\\2y^2 -52y + (676-h) = 0[/tex]
Then, The vertex of the parabola is,
[tex]\dfrac{-b}{2a} = \dfrac{-(-52)}{2(2)} = \dfrac{52}{4} = 13[/tex]
The minimum value of the parabola is 13, which is also the sum of squares.
Therefore, The two number is x = 13 and y =13.
To know more about Parabola click the link given below.
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The table represents the average daily price of a two-bedroom beachfront condo each month, with January represented as month 1, February as month 2, and so on. Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195 Use the graphing tool to determine the curve of best fit for this data. Write the equation of the curve in the space below.
Answer:
y = - 9.1768x2 + 122.2567x + 14.9091
Step-by-step explanation:
Given the following :
Month (x) Daily Rental Price (y) 1 $154 2 $205 3 $266 4 $358 5 $403 6 $425 7 $437 8 $430 9 $381 10 $285 11 $211 12 $195
Using the online regression equation graphing tool ; The quadratic model obtained in the form,
y = Ax^2 + Bx + C is :
y = - 9.1768x2 + 122.2567x + 14.9091
Attached below is a picture of the quadratic regression curve.
Check all that apply please!
Answer:
C. Scalene
F. Obtuse
Step-by-step explanation:
The triangle is scalene because all 3 sides are different lengths.
The triangle is obtuse because 1 angle is bigger than 90° (132°).
Answer:
scalene
obtuse
Step-by-step explanation:
All the sides are different length, so it is a scalene triangle
The 132 degree angle is greater than 90 degrees and less than 180 so it is obtuse
Which of the equations below represents this situation
Answer:
Y= 8*x
Step-by-step explanation:
You can notice that the graph is a straight line that crosses the origin so it's a graph that has an equation written this way : y= a*x
a is the slope
You can easily find it by notice that the image of 1 is 8
So a = 8
Then y= 8*x
Answer:
[tex]y=8x[/tex]
Step-by-step explanation:
Well drawing the line further then we can tell the y intercept is 0.
So we have to find the SLOPE using the following formula
[tex]\frac{y^2-y^1}{x^2-x^1}[/tex]
So we need two points on the line, we can use the following
(1,8) and (2,16)
So 16 is y2 and 8 is y1 so 16-8 is 8.
2-1 is 1.
So the slope is 8x.
Do the equation is [tex]y=8x[/tex]
We don’t have to put the y intercept because it is 0.
what is the sum of the values of x that are solutions to the equation x^2 - 10x - 22 = 2 ? a. -12 b. -10 c. -2 d. 2 e. 10
Answer:
[tex]x = 2, 12[/tex]
Your correct answer is D, since I don't see a -12.
Step 1: Subtracting 2 from both sides
Since we have to find the value of x, we have to factor the equation. To do so, we first have to subtract the two from both sides of the equation so all the values are on one side of the equation.
[tex]x^2-10x-22(-2)=2(-2)\\x^2-10x-24=0[/tex]
Step 2: Factoring the equation
Part 1
After subtracting 2 from both sides of the equation, we have to factor the polynomial to be able to get it into two sets of parentheses, so in order to do that, we will ignore the equal sign and the 0 for now. We are now left with:
[tex]x^2-10x-24\\[/tex]
First, we find the multiples of the first term, [tex]x^2\\[/tex], and the last term, -24. Since there is an invisible 1 before the first term, we are basically finding the multiples of [tex]1x^2[/tex], which is [tex]1x[/tex] and [tex]1x[/tex], or x and x. Now we have to find the correct set of numbers for -24. Do do that, we have to make sure that when we multiply the first set of numbers (x, x) with the second set (?, ?) and add them together, then we would get the number in the middle (-10x). So: Two of the most obvious multiples for 24 are 6 and 4, 12 and 2, and 3 and 8. But, this is a negative 24, so we have to work ahead to find out which pair we use first. If we multiply 8 and 3 with x and x, we get 8x and 3x. When we add them together, we do not get 10x, but instead, we get 11x, so it is the wrong pair. If we do the same thing to 6 and 4, we would get 10x, but since 24 is negative, it is not correct because we would need one of the numbers to be negative. In this case, they equal to 10x, but one of the numbers would have to be negative because (if 6 was the negative):
[tex]-6 * 4=-24\\[/tex]
But:
[tex]4-6\neq 10\\[/tex]
So this is not the correct set either. Our last set is 12 and 2, and when we multiply by x (12x and 2x) and we set one of the numbers to be a negative (-12) and subtract them, we get -10x, so, therefore, this is the correct number pair.
[tex]-12*2=-24\\2-12=-10[/tex]
Part 2
With all that done, we now have to factor the numbers. We take the first numbers (x and x), and we place them in front of each of the two parentheses.
[tex](x,?)(x,?)[/tex]
Now, we place -12 and 2 in those places.
[tex](x,-12)(x,2)[/tex]
To find x, we have to plug in the equal sign and 0 from the beginning.
[tex](x,-12)(x,2)=0[/tex]
Since they both have to equal to 0, then that means there would be two different answers because, for example: 12 - 12 = 0, but 12 - 2 ≠ 0.
To find both solutions, we treat the numbers in each of the parentheses as its own equation, and we solve it from there.
x - 12 = 0
12 - 12 = 0
x - 2 = 0
2 - 2 = 0
12 and 2 are our solutions! Hope this helps :)
Answer:
12 and 2
Step-by-step explanation:
factor the euqation x^2-10x-22=2 and you get (x,-12)(x,2)=0 and when you solve that you get 12 and 2
can someone please help me? ASAP
Answer:
A
Step-by-step explanation:
3^5 x 3^4
=3^5 + 4
=3^9
so the answer is option A
what is the equation of the graph that represents the parent function f(x)=x^4 stretched vertically by a factor of 2, and then shifted left 3 spaces
Answer:
f(x) = 2(x+3)^4
Step-by-step explanation:
I graphed the functions on the graph below so you can see how I got my answer.
Answer:
g(x)=2x^4+3
Step-by-step explanation:
Can any one please help me I really need help please help me please help me thank you
Answer:
Step-by-step explanation:
a) 500,000+300,000+150000+80000+0.02x+0.03x+0.08x=1030000+0.13x
b)1030000*(0.13*200)=26780000
there are two different power : power and exponent
exponent : 5⋅5⋅5=5^3
power 4^2 it is read as 4 to the second power or 4 squared 4 ∙ 4
"Like terms" are terms whose variables are the same example : x,7x,2x tey all have the same variable x
i hope it helps
. An octagon has a side length of 15 feet and an area of 1089.6 ft?.
Find the area of a smaller octagon that has a side length of 7 feet.
Question
An octagon has a side length of 15 feet and an area of 1089.6 ft²
Find the area of a smaller octagon that has a side length of 7 feet.
Answer:
237.3ft²
Step-by-step explanation:
We are given two octagons in the above question.
Side length of larger octagon = 15 ft
Area of larger octagon = 1089.6 ft²
The area of a smaller octagon = X
Side length of smaller octagon = 7 ft.
We solve for this using scale factor
Scale factor(k) = ratio of the side length of the octagon = smaller side length/ larger side length
k = 7/15
It is important to note that
The square of the scale factor k = ratio of the areas of the octagon
Hence,
k² = X/1089.6 ft²
(7/15)² = X/1089.6 ft²
7²/15² = X/1089.6 ft²
Cross Multiply
15² × X = 7² × 1089.6ft²
X = 7² × 1089.6ft²/15²
X = 237.29066667ft²
Approximately, the area of the smaller octagon = 237.3ft²
Line segment AB¯¯¯¯¯¯¯¯ has endpoints A(−2,6) and B(4,−6). What are the coordinates of the point that partitions BA¯¯¯¯¯¯¯¯ according to the part-to-part ratio 2:4? Enter your answer as an ordered pair, formatted like this: (42, 53)
Answer:
(2, -2) are the coordinates of the point which divides BA into ration 2:4.
Step-by-step explanation:
The given two co-ordinates of A are (-2, 6) and B is (4, -6).
Let P be the point that divides the line BA into ratio 2:4.
to find coordinates of a point P on the line segment BA dividing it in a ratio 2:4, we can use segment formula.
[tex]x = \dfrac{mx_{2}+nx_{1}}{m+n}\\y = \dfrac{my_{2}+ny_{1}}{m+n}[/tex]
Where (x,y) is the co-ordinate of the point P which
divides the line segment joining the points [tex](x_{1}, y_{1}) and (x_{2}, y_{2})[/tex] in the ratio m:n.
Please refer to the attached image.
As per the given values :
[tex]x_{1} = 4\\x_{2} = -2\\y_{1} = -6\\y_{2} = 6\\[/tex]
Putting the given values in above formula :
x-co-ordinate of P:
[tex]x = \dfrac{4 \times 4 -2 \times 2}{4+2}\\\Rightarrow \dfrac{12}{6}\\\Rightarrow x = 2[/tex]
y-co-ordinate of P :
[tex]y = \dfrac{4 \times -6 +2 \times 6}{4+2}\\\Rightarrow \dfrac{-24+12}{6}\\\Rightarrow \dfrac{-12}{6}\\\Rightarrow y = -2[/tex]
So, answer is P(2, -2).