The length of the land = the length of the waterfront + the length of dry land
The length of the land = L
The length of the waterfront = 0.65L
The length of the dry land = 70 feet
L = 0.65L + 70
L - 0.65L = 70
0.35L = 70
L = 70 ÷ 0.35
L = 200 feet
Answer:
x ≈ - 6.74, 0.74
Step-by-step explanation:
x² + 6x - 5 = 0 ( add 5 to both sides )
x² + 6x = 5
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(3)x + 9 = 5 + 9
(x + 3)² = 14 ( take square root of both sides )
x + 3 = ±
( subtract 3 from both sides )
x = - 3 ± 
Then
x = - 3 -
≈ - 6.74 ( to the nearest hundredth )
x = - 3 +
≈ 0.74 ( to the nearest hundredth )
Answer:
<h2>The length of the line segment VT is 13 units.</h2>
Step-by-step explanation:
We know that SU and VT are chords. If the intersect at point R, we can define the following proportion

Where

Replacing all these expressions, we have

Solving for
, we have

Now, notice that chord VT is form by the sum of RT and RV, so

Replacing the value of the variable

Therefore, the length of the line segment VT is 13 units.
Answer:
X= 20
Step-by-step explanation:
X+X+X+3-8 = 55 (Place Like terms together)
3x - 5 = 55 (Simplifying Like terms by adding and subtracting)
3x = 55+5 ( Move -5 towards Right hand side of equal as there is 55 which is like term of -5 and if we move any number or value from one side of equal towards other the sign of that value would change)
3x = 60
X= 60/3 ( Move 3 toward others side as there is like term of 3 which is 60 but as on Left hand side of equal sign 3 is multiplying with "X" so when we move any number or value toward other side the operation or sign of that value or number would be change, Multiply change into Divide and vice versa and Add change into subtraction and vice versa)
X= 20
The graph of f(x) is given. And equation of g(x)= -f(x+2)
f(x+2) means f(x) will move 2 units left. And the negative in front means reflection on x axis.