Answer:
y=-2+14
Step-by-step explanation:
hope this helped ;)
Answer:
Es igual a 7.
Step-by-step explanation:
Ok, sabemos que:

Queremos calcular:

Tambien sabemos que 4 = 2*2
Entonces:

y sabemos que 2*2 = 2^2
Entonces:

y ahora podemos usar la relación:

entonces:

Ahora podemos completar cuadrados sumando y restando el termino:

Asi tendremos:

Entonces de momento tenemos que:

Sabemos que el termino que esta dentro del parentesis es igual a 3.
Y tambien podemos usar la propiedad:

en el termino de la derecha.
Asi tendremos:

Answer:
see explanation
Step-by-step explanation:
The slope m of the line = tan45° = 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c
To find c substitute (2, 1 ) into the equation
1 = 2 + c ⇒ c = 1 - 2 = - 1
y = x - 1 ← equation of line
When x = 0 then y = 0 - 1 = - 1
The line passes through (0, - 1 )
Answer:
The answer will be A
Step-by-step explanation:
Answer:
Step-by-step explanation:
We have given:
√2x+3 - √x+1 = 1
First of all isolate the square root of the left hand side:
√2x+3 = √x+1 +1
Now take square on both sides.
(√2x+3)^2 = (√x+1 +1)^2
Open the R.H.S by squaring formula.
∴(a+b)^2 = a^2+2ab+b^2
2x+3 = (√x+1)^2 + 2(√x+1)(1)+(1)^2
2x+3 = x+1 +2√x+1 +1
2x+3 = x+2 +2√x+1
Combine the like terms:
2x-x+3-2 = 2√x+1
x+1 = 2√x+1
Take square on both sides
(x+1)^2 = (2√x+1)^2
x²+2x+1 = 4x+4
x²+2x-4x+1-4 = 0
x²-2x-3 = 0
Now solve the quadratic equation:
a = 1 , b= -2 , c = -3
x = -b+/-√b²-4ac/2a
x = -(-2)+/-√(-2)² - 4(1)(-3) / 2(1)
x = 2 +/- √4+12 / 2
x = 2+/- √16/2
x = 2+/- 4 /2
x = 2+4/2 , x = 2-4/2
x = 6/2 , x = -2/2
x = 3 , x = -1
The solutions we get is (3, -1).