Short Answer x = - 6
Remark
You gave the second best answer.
The trick here is not to divide both sides by 2. Solve the problem this way.
log_5(x + 1)^2 = 2 Take the antilog of both sides
(x + 1)^2 = 5^2 Expand the equation
x^2 + 2x + 1 = 25 Subtract 25 from both sides.
x^2 + 2x - 24 = 0 Factor
(x + 6)(x - 4) = 0 Find the zeros.
x + 6 = 0
x = - 6 <<<<<<<< Answer. This is the extraneous root.
The reason this is an extraneous root is that x<=0 do not have a logarithem
x - 4 = 0
x = 4 This is a legitimate result to the original equation.
The circumference or perimeter of the circle has the formula 2*pi*r, where r is the radius of the circle. This could then be easily calculated:
C = 2*pi*r
53.38 = 2*3.14*r
53.38 = 6.28r
r = 53.38/6.28
r = 8.5 ft
Thus, the radius of the circle has a length of 8.5 feet.
The answer would be 1,600 because it’s a fraction
Answer:
2.54 seconds
Step-by-step explanation:
We can use the following equation to model the vertical position of the ball:
S = So + Vo*t + a*t^2/2
Where S is the final position, So is the inicial position, Vo is the inicial speed, a is the acceleration and t is the time.
Then, using S = 2.5, So = 0.4, Vo = 14 and a = -9.8 m/s2, we have that:
2.5 = 0.4 + 14*t - 4.9t^2
4.9t^2 - 14t + 2.1 = 0
Solving this quadratic equation, we have that t1 = 2.6983 s and t2 = 0.1588 s.
Between these times, the ball will be higher than 2.5 m, so the amount of time the ball will be higher than 2.5 m is:
t1 - t2 = 2.6983 - 0.1588 = 2.54 seconds
Answer:
in bold
Step-by-step explanation:
M is the slope and b is the y intercept
1 looks correct
2. Chose 2 points; I chose (0,2) and (2,2) Find slope: 0/-2=0 y=mx+b y=0x+b y=b b=2 y=2
3. Chose 2 points: I chose (2,9) and (0,5) Find slope: 4/2=2 y=mx+b y=2x+5
4. Chose 2 points: I chose (0,-2) and (2,-3) Find slope: 0--3/-2-2=3/-4 y=mx+b y=-3/4x-2
