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zvonat [6]
2 years ago
15

Find the solution to the systems of equations using the elimination method.

Mathematics
2 answers:
vredina [299]2 years ago
5 0
X=-2/3y+11/3

x=-3/5y+14/5
Naily [24]2 years ago
4 0

Answer:

x = 1 ; y = 3

Step-by-step explanation:

5(2x + 3y = 11)

2(5x + 3y + 14)

(distribute)

10x + 15y = 55

10x + 6y = 28

(subtract)

9y = 27

(divided 9 to both sides)

9 divided by 9 cancels out and 27 divided by 9 = 3

so..

y = 3

now, using any equation, (i’ll be using 2x + 3y =11) plug in the y value to find the x value

2x + 3y = 11

2x + 3(3) = 11

(multiply 3 x 3)

2x + 9 = 11

(subtract 9 from 9 and 11)

2x = 2

(divide 2 from both sides)

2 divided by 2 = 1

therefore...

x = 1

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Which sentence correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14
denis-greek [22]

Answer:

Option (c) is correct.

68% of the data points lie between 10 and 18.

Step-by-step explanation:

Given :  a normal distribution with a standard deviation of 4 and a mean of 14

We have to choose the  sentence that correctly describes a data set that follows a normal distribution with a standard deviation of 4 and a mean of 14.

Since, given 68% data.

We know mean of data lies in middle.

And standard deviation is distribute equally about the mean that is 50% of values less than the mean  and 50% greater than the mean.

So, 68% of data lies

mean - standard deviation = 14 - 4 = 10

mean + standard deviation = 14 + 4 = 18

So, 68% of the data points lie between 10 and 18.

4 0
3 years ago
Find the distance between the two points in simplest radical form.<br> (6,2) and (4, -2)
Paul [167]
Using the modified Pythagorean equation sqrt((6-4)^2 + (2-(-2))^2 = c^2, you get the sqrt(4 + 16) or sqrt 20. Factor the 20 into sqrt(4x5) you get 2xsqrt(5)
3 0
3 years ago
What is the Pythagorean triples for 2021.
alisha [4.7K]

Answer:

Home  »  Noticias  »  Descubriendo los triples pitagóricos – Explicado

Descubriendo los triples pitagóricos – Explicado

El Teorema de Pitágoras es ciertamente uno de los teoremas más famosos en todas las matemáticas. Tanto los matemáticos como los laicos lo han estudiado durante siglos, y la gente lo ha demostrado de muchas maneras diferentes. (Incluso al presidente James Garfield se le atribuyó una prueba nueva y original.) Así que sin más preámbulos, aquí está:

El Teorema de Pitágoras: La suma de los cuadrados de las piernas (los dos lados más cortos) de un triángulo recto es igual al cuadrado de la hipotenusa (el lado más largo).

Si usted escoge cualquier número antiguo para dos de los lados de un triángulo rectángulo, el tercer lado usualmente termina siendo irracional – usted sabe, la raíz cuadrada de algo. Por ejemplo, si las patas son 5 y 8, la hipotenusa termina siendo la raíz cuadrada de 89, o aproximadamente 9.43398 ….. (el decimal continúa para siempre sin repetirse). Y si escoges números enteros para la hipotenusa y una de las patas, la otra pata suele terminar siendo la raíz cuadrada de algo.

Step-by-step explanation:

3 0
2 years ago
PLZZ HURRY I am being timed
dolphi86 [110]

Answer:

so for each group just multiply the number of socks in each group to 5 and = s

so

1. s = 4x5

s = 20

Step-by-step explanation:

A. S/5; when S=20, the number of socks in each group is 4.

6 0
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Answer:

0 is your y intercept and 5 is the x intercept

5 0
2 years ago
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