Answer:
Step-by-step explanation:
We know that the system of equations
a
1
x+b
1
y=c
1
a
2
x+b
2
y=c
2
has infinitely many solutions, if
a
2
a
1
=
b
2
b
1
=
c
2
c
1
Here, a
1
=2,b
1
=3,c
1
=4,a
2
=k+2,b
2
=6,c
2
=3k+2.
Therefore, the given system of equations will have infinitely many solutions, if
k+2
2
=
6
3
=
3k+2
4
⇒
k+2
2
=
6
3
and
6
3
=
3k+2
4
⇒
k+2
2
=
2
1
and
2
1
=
3k+2
4
⇒k+2=4 and 3k+2=8
⇒k=2 and k=2
⇒k=2
Hence, the given system of equations will have infinitely many solutions, if k=2.
We can classify the system by seeing if it’s consistent and independent. So that’s how you would classify the system.
Hopefully this helps!
Answer:
Step-by-step explanation:
To write an equation into slope-intercept form, or y = mx + b format, we need to find the y-intercept of the line and its slope and substitute values for m and b.
1) First, find the y-intercept. The y-intercept is the point at which the line intersects the y-axis. Reading the graph, we can see that the line passes the y-axis at the point (0,2), thus that is the y-intercept.
2) Next, find the slope. Pick out two points on the graph to use for the slope formula, 
. I chose to work with (0,2) and (6,1). Now, substitute the two points' x and y values into the formula appropriately and solve:
Thus, 
is the slope.
3) Now, substitute the calculated values into the y = mx + b format. The b represents y-value of the y-intercept. The y-intercept is (0,2), thus substitute 2 for b. The coefficient of the x term, or m, represents the slope, thus substitute for m. This will give the following equation of the line in slope-intercept format:
Answer: Your answer is: -17/5
Step-by-step explanation: You just have to convert the mixed number into an improper fraction.
A) La distancia del Sol a Neptuno en notación científica es 45 x 10^8 km.
B) Júpiter se encuentra a 930.000.000 kilómetros del Sol.
C) La distancia del Sol a Neptuno es 30 veces mayor que la que hay a la Tierra.
Dado que la distancia entre la tierra y el sol es de 1,5 . 10˄8 km, la distancia entre la Tierra y Júpiter es de 9,3 . 10˄8 km y Neptuno está situado a 4.500.000.000 Km del Sol, para determinar:
A) Expresa en notación científica la distancia del sol a Neptuno
B) Calcula la distancia a la que está situado Júpiter respecto al Sol
C) Calcula cuantas veces es mayor la distancia del Sol a Neptuno que la que hay a la Tierra.
Deben realizarse los siguientes cálculos:
- A) 4.500.000.000 = 45 x 100.000.000
- 100.000.000 = 10^8
- 4.500.000 = 45 x 10^8
- B) 9.3 x 10^8 = X
- 100.000.000 = 10^8
- 9.3 x 100.000.000 = X
- 930.000.000 = X
-
C) Tierra = 150.000.000
- Neptuno = 4.500.000.000
- 150 = 1
- 4.500 = X
- 4500 / 150 = X
- 30 = X
Aprende más en brainly.com/question/1705769
