Answer:
is there more to the problem
Answer:
(x + 4)^2 + (y – 9)^2 = 25
Step-by-step explanation:
The standard form for a circle is
where (h, k) is the center and r is the radius
In your case, h = -4 and k = 9 and r = 5
So, (x + 4)^2 + (y – 9)^2 = 25
Answer:
2,340,208.5 or 2,340,209
Step-by-step explanation:
You could answer this by multiplying the current population of 800,000 by 1.05 (1.05 represents the annual growth rate of population) and do that 22 times. But that would take a while.
we got 1.05 because the formula says that y = a( 1 + r ) power t
for a we will give it 1
so y = 1 ( 1 + 0.05) power t
it will give us 1.05
to do this faster, you would first calculate (1.05)22and then multiply this by 800,000.
So, 800,000 x (1.05)22 = 2,340,208.5 or 2,340,209
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
Answer:
B. 1,500’
Step-by-step explanation:
Given;
dimension of the rectangular house, = 35’ x 40’
The actual total linear footage of lumber needed = 35’ x 40’ = 1,400'
The rough estimate should be greater than the actual estimate in 100s;
rough estimate = 1,400' + 100' = 1,500'
Therefore, the rough estimate of the total linear footage of lumber needed is 1,500'.
