A Tourist Information Center is between a Bus Station and a Train Station. When mapped on a grid, the Tourist Information Center is
located at (11,0) and the Bus Station is located at (-1,-10).
The Train Station is located at point
х=
Y=
Answers
Given :
The Tourist Information Center is located at (11,0) and the Bus Station is located at (-1,-10).
Also , Tourist Information Center is between a Bus Station and a Train Station.
To Find :
The point of location of train station .
Solution :
Let , point of location of train station is ( x,y ).
We know , mid-point of two points ( a, b) and ( c, d ) is given by :
[tex](\dfrac{a+c}{2},\dfrac{b+d}{2})[/tex] .
Since , Tourist Information Center is between a Bus Station and a Train Station.
So , it is given by :
[tex]( 11 , 0 ) = (\dfrac{-1+x}{2},\dfrac{-10+y}{2})[/tex]
Comparing both coordinate :
[tex]\dfrac{x-1}{2}=11\\\\x=22+1\\\\x=23[/tex]
and
[tex]\dfrac{y-10}{2}=0\\\\y=10[/tex]
Therefore , Train Station is located at point ( 23 , 10 ) .
Hence , this is the required solution .
Related Questions
Solve -1/2w - 3/5 = 1/5w
Answers
Answer:
w = -6/7
Step-by-step explanation:
Step 1:
-5/10w - 6/10 = 2/10w
Step 2:
-6/10 = 7/10w
Step 3:
-6/10 × 10/7w
Answer:
w = -6/7
Hope This Helps :)
Find the value of x in each case: b)
I will give 20 Brainly points if answered within 30 minutes!!!!!!
Answers
Answer:
15 DEGREES
Step-by-step explanation:
OK SO BASICALLY, USING THE EXTERIOR ANGLES THEOREM, YOU FIND THAT 9x = 5x + something. That something is 4x so:
9x = 5x + 4x
THEN YOU FIND THAT 8x = 5x + something. That something is 3x so:
8x = 5x + 3x
4x and 3x and 5x are the interior angles of the triangle (ABC)
Then you use triangle theorem and get 4x + 3x + 5x = 180
Then: 12x = 180 and so you get x = 15
are 2d and 4d like terms
Answers
Answer: Yes they are like terms
They both have the same variable so that is why they are like terms.
We can think of 'd' representing something like "dogs" maybe
d = 1 dog
2d = 2 dogs
3d = 3 dogs
4d = 4 dogs
and so on
Adding 2d with 4d gets us 2d+4d = 6d meaning we have 6 dogs overall if we started with 2 and added on 4 more. This is one way to help see why we can combine like terms.
In contrast, something like 2c+4d cannot be combined since having 2 cats and 4 dogs doesn't result in 6 cats or 6 dogs. We just simply leave it as 2c+4d.
What is the equivdent
equation to: –6=3y
Answers
Answer:
-2 is the answer
Step-by-step explanation:
mark as me brainlist
what’s 2+2+2+1000 drop ur ig for some points :)
Answers
Answer:
1,006
Step-by-step explanation:
Answer:
1006
Step-by-step explanation:
_plexstyx
Write an equation in slope-intercept form for the line parallel to y= -7x-9 that passes through the point (4,9). Show your work. Thank you :)
Answers
Answer: y=-7x + 37
Step-by-step explanation:
Parallel lines will have the same slope but different y-intercepts so again we can use the coordinates to determine the y intercept of the new equation.
So we know that the slope intercept formula is y=mx + b where m is the slope and b is the y-intercept so we will input the x and y coordinates to solve for b.
9 = -7(4) + b
9 = -28 + b
+28 +28
b = 37
The equation will be y= -7x + 37
The equation of line passes through the point (4, 9) will be;
⇒ y = - 7x + 37
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The point on the line are (4, 9).
And, The parallel line is,
⇒ y = - 7x - 9
Now,
Since, The equation of line passes through the point (4, 9).
So, We need to find the slope of the line.
Since, The slope of the parallel line is same.
Hence, Slope of the line is,
y = - 7x - 9
m = dy/dx = - 7
m = - 7
Thus, The equation of line with slope - 7 is,
⇒ y - 9 = -7 (x - 4)
⇒ y - 9 = - 7x + 28
⇒ y = - 7x + 28 + 9
⇒ y = - 7x + 37
Therefore, The equation of line passes through the point (4, 9) is,
⇒ y = - 7x + 37
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ2
Given segment XZ and point Y that lies on XZ, find XY if XZ = 37 and YZ = 18
Answers
Answer:
XZ=19
Step-by-step explanation:
the total length of the segment is 37, and half of the segment is 18, so to find the other half of the segment, you would subtract the half from the total amount: 37-18=19
hope this helps
if the entire segment, XZ = 37, and you have part of that segment, YZ as 18, then all you need to do is subtract 18 from 37, and you will get the other part of the segment, 19
(XY) 19+ (YZ) 18 = (XZ) 37
1.32 rewrite as a simplified fraction
Answers
Answer:
33/25 should be the answer
Step-by-step explanation:
FIRST TO ANSWER WILL GET BRAINLIEST At a local fitness center, members pay a $6 membership fee and $3 for each aerobics class. Nonmembers pay $4 for each aerobics class. For what number of aerobics classes will the cost for members and nonmembers be the same?
Answers
Answer:
c represents the number of classes
6 + 5c = 6c
Can you solve for c and answer?
6 classes
reason:
to solve for x, make an equation
for members, the cost would be 6+3x
for nonmembers, the cost is simply 4x
this makes the equation to find when the cost is equal 6+3x=4x
subtract 3x from both sides to get 6=x
you can check by plugging 6 into x on both sides, which will give you $24 on each side, making it equal
can some one help me !? please.
Answers
Answer:
y=3/4x+45
Step-by-step explanation:
Answer:
the equation is 1/3x + 2
PLEASE HURRY!!!!! GIVEN 135 MPH, convert to INCHES PER SECOND.
Answers
Answer:
2376
Step-by-step explanation:
given 135MPH
convert it inches per second
as 1MPH=7.6 inches per second
so
135×7.6
2376 inches per second
Answer:
LOL, its Shuhuai from Accelerated Science. I just finished the question and copy and pasted it to check it. I'm like, nobody is going to answer this because my teacher just made it up. And I see the top result is your comment, but hey at least I got the question correct. But yeah, i just thought it was a bit coincidental lol.
Step-by-step explanation:
On average, it takes a shoe factory 21 minutes, with a standard deviation of 3 minutes, to manufacture a pair of running shoes. How often will it take the factory more than 27 minutes to manufacture a pair of running shoes?
Answers
Answer:
The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes
Step-by-step explanation:
The average time it takes to manufacture a pair of shoes = 21 minutes;
The standard deviation = 3 minutes
To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;
Standard score, given as follows;
[tex]Z=\dfrac{x-\mu }{\sigma }[/tex]
Where;
x = The raw score = 27 minutes
μ = The average score = 21 minutes
σ = The standard deviation = 3 minutes
From which we have;
[tex]Z=\dfrac{27-21 }{3 } = 2[/tex]
Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275
Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.
How do you simplify the answer for 185/200
Answers
Answer: 37/40
Step-by-step explanation:
divide 185 by 5 and same with 200 so your answer is 37/40
please mark me brainliest :)
Helllp find each measure.
Answers
Answer:
6)44
7)64
8)121
9)23
Step-by-step explanation:
6)5z-16=3z+8
z=12
7)4w+4=2w+22
w=9
8)9x-5=10x-19
x=14
9)3y-1=y+15
y=8
Which is the best type of graph to model the speed of a roller coaster over the full two minutes it takes to complete the ride?
Answers
Step-by-step explanation:
I would say a speed/time line graph because those types of graphs are usually used for these scenarios in Physics problems.
Hope this helped!
Find the missing exponent
Answers
Answer:
where is the rest of the context?
-8 ÷ (—4) =?
you have to divide it, if you can figure it out thanks!
Answers
Answer:
I believe it's positive 2
Two brothers Steven and Walter each inherit 41000. Steven invests his inheritance in a savings account with an annual return of 2.7% while Walter invests his inheritance in a cd paying 6.4% annually. How much more money than Steven does Walter have after 1 year
Answers
Answer:
Walter earns $1,517 more than Stevens in one year.
Step-by-step explanation:
Giving the following information:
Two brothers Steven and Walter each inherit $41,000
Steven:
Annual return= 2.7%
Walter:
Annual return= 6.4%
To determine the future value for the brothers, we need to use the following formula:
FV= PV*(1+i)^n
Steven:
FV= 41,000*1.027= $42,107
Walter:
FV= 41,000*1.064= $43,624
Difference= 43,624 - 42,107= $1,517
Walter earns $1,517 more than Stevens in one year.
Which of the following is an equivalent form of the compound inequality −44 > −2x − 8 ≥ −8?
Select one:
a. −2x − 8 > −44 and −2x − 8 ≥ −8
b. −2x > −44 and −8 ≥ −8
c. −2x − 8 < −44 and −2x − 8 ≤ −8
d. −2x − 8 < −44 and −2x − 8 ≥ −8
Answers
Answer:
C.
Step-by-step explanation:
Find the smallest value of n such that the LCM of n and 15 is 45
Answers
Answer:
n=9
Step-by-step explanation:
LCM(n,15)=45
LCM(9,15)=45
kaziyah josey
The x-axis is the line of reflection for a reflection over the x-axis.
O True
O False
Answers
1) El producto de dos números naturales consecutivos es 272. ¿Cuáles son esos números?
2) Hallar dos números naturales tales que su suma es 28 y la diferencia de sus cuadrados es 56.
3) Halla el lado de un cuadrado tal que la suma de su área más su perímetro es numéricamente igual a 252.
4) Se quiere vallar una finca rectangular que tiene de largo 25 m más que de ancho y cuya diagonal mide 125 m. ¿Cuántos metros de valla se necesitan?
5) La edad de un niño será dentro de tres años un cuadrado perfecto, y hace tres años que su edad era precisamente la raíz cuadrada de este cuadrado. ¿Qué edad tiene?
Answers
Answer:
1) 135 y 137, 2) 13 y 15, 3) El lado del cuadrado es de 14 unidades, 4) Se necesita 350 metros de valla, 5) El niño tiene 6 años de edad.
Step-by-step explanation:
1) El conjunto de los números naturales comprende al subconjunto de los números reales que son enteros y positivos. El enunciado se puede traducir con la siguiente expresión numérica:
[tex]x + (x+n) = 272[/tex]
Donde [tex]x[/tex] y [tex]n[/tex] son números naturales. Se despeja [tex]x[/tex]:
i) [tex]2\cdot x + n = 272[/tex] Propiedad asociativa/Definición de adición
ii) [tex]2\cdot x = 272-n[/tex] Compatibilidad con la adición/Existencia del inverso aditivo/Propiedad modulativa/Definición de sustracción
iii) [tex]x = \frac{272-n}{2}[/tex] Compatibilidad con la multiplicación/Existencia del inverso multiplicativo/Propiedad modulativa/Definición de división
iv) [tex]x = \frac{272}{2}-\frac{n}{2}[/tex] [tex]\frac{x+y}{z} = \frac{x}{z} + \frac{y}{z}[/tex]
v) [tex]x = 136 - \frac{n}{2}[/tex] Definición de división/Resultado
Puesto que [tex]x[/tex] y [tex]n[/tex] son números naturales, [tex]\frac{n}{2}[/tex] también debe ser entero y para garantizar la consecución entre los números, [tex]n[/tex] debe ser el elemento natural más pequeño posible. El número natural más pequeño es 1, por tanto, el valor mínimo de [tex]n[/tex] es 2. En consecuencia, el valor de [tex]x[/tex] es:
[tex]x = 136-\frac{2}{2}[/tex]
[tex]x = 136-1[/tex]
[tex]x = 135[/tex]
Los dos números naturales consecutivos son 135 y 137.
2) El enunciado se puede traducir en las siguientes dos ecuaciones matemáticas:
[tex]x+y = 28[/tex]
[tex]x^{2}-y^{2} = 56[/tex]
Se despeja una de las variables de la primera ecuación y se elimina la variable correspondiente en la segunda ecuación:
[tex]x = 28-y[/tex]
[tex](28-y)^{2}-y^{2} = 56[/tex]
Se expande la ecuación resultante por álgebra de reales:
[tex]784-56\cdot y +y^{2}-y^{2} = 56[/tex]
[tex]784-56\cdot y = 56[/tex]
[tex]56\cdot y = 784-56[/tex]
[tex]56\cdot y = 728[/tex]
[tex]y = 13[/tex]
Finalmente, se halla el valor de la variable restante:
[tex]x = 28-13[/tex]
[tex]x = 15[/tex]
Los dos números naturales son 13 y 15.
3) Las fórmulas para el área ([tex]A[/tex]) y el perímetro del cuadrado ([tex]p[/tex]) son, respectivamente:
[tex]A = l^{2}[/tex]
[tex]p = 4\cdot l[/tex]
Donde [tex]l[/tex] es la longitud del lado del cuadrado.
De acuerdo con el enunciado, existe la siguiente condición:
[tex]A + p = 252[/tex]
[tex]l^{2}+4\cdot l = 252[/tex]
[tex]l^{2}+4\cdot l -252 = 0[/tex]
La ecuación resultante es un polinomio de segundo orden, cuyas raíces se obtienen por la Fórmula Cuadrática:
[tex]l_{1} = 14[/tex] y [tex]l_{2} = -18[/tex]
La primera raíz es la única solución razonable para la condición dada.
El lado del cuadrado es de 14 unidades.
4) Dado que la finca tiene una área rectangular y que se conoce la medida de la diagonal así como la diferencia entre el largo y el ancho, se puede determinar las variables restantes a partir del Teorema de Pitágoras:
[tex]d^{2} = l^{2}+w^{2}[/tex]
Donde:
[tex]d[/tex] - Diagonal, medida en metros.
[tex]l[/tex] - Largo, medido en metros.
[tex]w[/tex] - Ancho, medido en metros.
Además, las relaciones son las siguientes:
[tex]l = w + 25\,m[/tex]
[tex]d = 125\,m[/tex]
Se desarrolla y simplifica la identidad pitagórica hasta obtenerse un polinomio de segundo orden:
[tex]125^{2} = (w+25)^{2}+w^{2}[/tex]
[tex]2\cdot w^{2}+50\cdot w -15000 = 0[/tex]
Las raíces del polinomio se hallan con ayuda de la Fórmula Cuadrática:
[tex]w_{1} = 75[/tex] y [tex]w_{2} = -100[/tex]
Solo la primera raíz ofrece una solución razonable, el ancho del rectángulo es de 75 metros. Por último, se halla el largo de la figura:
[tex]l = 75\,m+25\,m[/tex]
[tex]l = 100\,m[/tex]
El largo del rectángulo es de 100 metros.
El perímetro del rectángulo ([tex]p[/tex]), medido en metros, es calculado por la siguiente fórmula:
[tex]p = 2\cdot (w+l)[/tex]
[tex]p = 2\cdot (75\,m+100\,m)[/tex]
[tex]p = 350\,m[/tex]
Se necesita 350 metros de valla.
5) Sea [tex]x[/tex] la edad actual del niño y [tex]l[/tex] el lado del cuadrado. Entonces:
[tex]x + 3 = l^{2}[/tex]
[tex]x -3 = l[/tex]
Se reemplaza el lado del cuadrado en la primera ecuación con ayuda de la segunda ecuación:
[tex]x+3 = (x-3)^{2}[/tex]
[tex]x +3 = x^{2}-6\cdot x + 9[/tex]
[tex]x^{2}-7\cdot x+6 = 0[/tex]
Las raíces se obtienen por factorización:
[tex](x-6)\cdot (x-1) = 0[/tex]
[tex]x = 6 \,\wedge \,x = 1[/tex]
Ambas raíces son parecen razonables, se comprueba cada una para ver si satisfacen las condiciones del enunciado:
x = 1
[tex]1+3 = l^{2}[/tex]
[tex]4 = l^{2}[/tex]
[tex]1-3 = l[/tex]
[tex]-2 = l[/tex]
Si bien está matemáticamente bien, no lo es en lo que respecta a edad.
x = 6
[tex]6+3 = l^{2}[/tex]
[tex]9 = l^{2}[/tex]
[tex]6-3 = l[/tex]
[tex]3 = l[/tex]
Esta solución es correcto en cuanto a matemática y edad.
El niño tiene 6 años de edad.
Solve for x. 20x + 5 = 5x + 65
Answers
Answer:
x=4
Step-by-step explanation:
move the variable to the left side and change its sign
20x-5x=65-5
collect like terms
15x=65-5
15x=60 divide both side by 15
x=4
You're making lunches for school and you want to pack chips. You
can purchase Funyuns in a 7 oz bag for $2.49. What is the price per
ounce?
Answers
Answer : The price per ounce of funyuns is $0.356.
Step-by-step explanation :
As we are given that the price of 7 ounce bag of funyuns is $2.49.
Now we have to determine the price per ounce.
According to the question,
As, 7 ounce bag of funyuns = $2.49
So, 1 ounce bag of funyuns = [tex]\frac{1\text{ ounce}}{7\text{ ounce}}\times \$ 2.49[/tex]
= $0.356
Therefore, the price per ounce of funyuns is $0.356.
Based on the pattern, what are the next two terms of the sequence? 9, 15, 21, 27, . . .
Answers
Answer: The next two terms are 33 and 39
Step-by-step explanation:
9,15,21,27
First determine how you get from one value to the other.
To get from 9 to 15 you add 6.
To get from 15 to 21 you add 6 to 15.
And to get from 21 to 27 you add 6 to 21
So to get to the next term add 6 and another 6 to the value you get.
27 + 6 = 33
33 + 6 = 39
A trangle has a 30 angle and a 55angle .what is the other angle ？how do you know？
Answers
Answer:
95°
Step-by-step explanation:
Sum of 3 angles of a triangle equals to 180°Here we have angles of 30° and 55°, so the remaining angle is:
180° -(30° + 55°) = 95°
Which of the following represents the area of a rectangle whose length is x - 7 and whose width is x + 12?
Answers
Length of rectangle = x - 7
Width of rectangle = x + 12
We have to find area of rectangle[tex].[/tex]
_________________________________
[tex]:\implies\sf\:Area=Length\times Width[/tex]
[tex]:\implies\sf\:Area=(x-7)(x+12)[/tex]
[tex]:\implies\sf\:Area=x^2+12x-7x-84[/tex]
[tex]:\implies\bf\:Area=x^2+5x-84[/tex]
What are the roots of the equation 25x^2 - 50x + 26 = 0 in simplest a + bi form? Complex Roots
Answers
Answer:
Hope this is helpful for you
6x+4 = -6+ 4x +18 solve for x
Answers
Answer:
4
Step-by-step explanation:
6x+4=12+4x6x-4x=12-42x=8x=4Answer:
7/4 or 1.75 or 1 3/4
Step-by-step explanation:
try to use a scientific calculator and then that will be your answer that I came up with.
13 - (this number) - (this number) = -6 The numbers have to be the same when subtracting
Answers
Answer:
9.5
Step-by-step explanation:
13-x-x=-6
13+6=2x
19=2x
9.5=x
Answer:9
Step-by-step explanation:
13 - 9 - 9