Answer:
hello :
Step-by-step explanation:
the area of a circle is : A = π r² r : the radius
A = π (6)² = 36π (ft)² ........( answer : C)
We have the function:
()=−2(−3)^4+1
We need to go from this equation to the parent function x^4. To do that, we first do a vertical translation of 1 unit below. That is:
Vertical translation: f(x) - 1
= −2(−3)^4
Now, we make a horizontal shift of 3 units to the left, replacing x by x + 3:
f(x + 3) + 1 = −2()^4
Horizontal shift: f(x + 3) - 1
= −2x^4
We can make a horizontal expansion if we multiply this function by 1/2:
Horizontal expansion: ( f(x + 3) - 1 ) / 2
= -x^4
Finally, we make a reflection around the x-axis by multiplying this result by -1:
x-axis reflection: -( f(x + 3) - 1 ) / 2
= x^4
Answer:
The answer to your question is t = 1.3 s
Step-by-step explanation:
Data
Equation h(t) = -4.9t² + v₀t + h₀
v₀ = 0 m/s
h₀ = 8 m
t = ?
h = 0 m
Process
1.- Substitute the values in the formula
0 = -4.9t² + 0t + 8
2.- Simplification
0 = -4.9t² + 8
3.- Solve for t
4.9t² = 8
t² = 8/4.9
t² = 1.63
4.- Result
t = 1.27 ≈ 1.3 s
Sum of angles of a linear pair = 180. So angle with measurement 142 and the adjacent angle to it have a sum = 180.
THerefore 142+y=180
Subtracting 142 from both sides
y = 38
Now in the down right sides corner triangle
38+49+w=180
87+w=180
Subtracting 80 from both sides,
w = 93
So the measurement of angle w = 93 .
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