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).
Answer:
50 feet
Step-by-step explanation:
Use the Pythagorean Theorem to find the diagonal (or the hypotenuse)
30²+40²=x²
900+1600=x²
√2500=√x
x=50 feet
Answer:
131
Step-by-step explanation:
25+24=49
180-49=131
Newton Equations are such as Force = Mass * Acceleration, Potential Energy= mass * acceleration of gravity* height, Force of gravity= universal gravitational constant(Mass of the earth* Mass of Object)/( Distance in between)^2, Kinetic Energy= 1/2Mass (velocity) ^2, Momentum = speed * Mass and Voltage= current * resistance, Energy= Mass * (speed of light)^2 and etc, yet all of these are models for solving physics and mathematics problems.
Answer:
y=1x-9 That's the equation if you're trying to figure that out and the slope would be 1/1
