Answer:
The function is:
Step-by-step explanation:
Let's plug in the first point (0,3):
So we have:
Let's use the other point (2,12):
Divide both sides by 3:
Square root both sides:
Exponential functions have positive bases so .
The function is:
Answer: 10ft
Since = 9.48 which is 10 when you round it to the nearest ft.
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Convert to the standard form:-
x^2 + 14x + y^2 - 6y = -42
(x + 7)^2 - 49 + (y - 3)^2 - 9 = -42
(x + 7)^2 + (y - 3)^2 = -42 + 49 + 9 = 16
r^2 = 16 so r = 4 and the diameter = 2*4 = 8 Answer
Answer:
82.49 percent were at least high school graduates.
Step-by-step explanation:
We have been given that at 1950 x=0
and at 1960 x=10
And following this pattern at 2000 x=50
So, we have coordinates:
(0,34.7) and (50,87.8) for two point form we will find a function:
Using:
Substituting the values in the formula we get:
y=1.062 x+34.7 is the linear function
(b) Now, we need to find the value at x= 1995 which will be equal to 45 according to the pattern followed
Put x=1995 in the function above we get:
y =1.062(45)+34.7
y=82.49 percent were at least high school graduates.
Answer:
Angle a = 126°
Step-by-step explanation:
in the given figure,
b = 54°
( since they form vertical opposite angle pair, )
and
a = c
( since they are pair of vertical opposite angles )
now,
we know sum of all these angles = 360°
( because they for complete angle )
so,
=》a + b + c + 54° = 360°
=》a + 54° + a + 54° = 360°
( since, b = 54°, and a = c )
=》2a + 108° = 360°
=》2a = 360° - 108°
=》a = 252° ÷ 2
=》a = 126°