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:
y = x + 8
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: x - y = -8
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract <em>x</em> on both sides: -y = -x - 8
- Divide -1 on both sides: y = x + 8
Answer:
12
Step-by-step explanation:
Each friend would get 12 chocolates
A. is not
b. is
c. is
d. is
e. i don't think it is
f. is
Answer:
<em>a) She started walking back</em>
<em>b) 0.13 km/min</em>
Step-by-step explanation:
The graph shows the distance traveled by Jo. She starts her journey (t=0) at a distance of 0 Km since the graph passes through the origin (0,0).
a) Ten minutes later she is at a distance of 1 km from the starting point and then the distance starts to drop. This means that at t=10 minutes, she started walking back.
b) To calculate the speed for the last 30 minutes of journey, we find the slope of the line. Select the points (30,0) and (60,4).
If a given line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
Substituting:
v=0.13 km/min