Answer:
7 units
Step-by-step explanation:
Given that :
house is at (−4, 10). Her school is at (−4, 3)
House location = (-4, 10)
School location = (-4, 3)
Distance from house to school (d) :
Distance between two points :
x = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
x1 = - 4 ; y1 = 10 ; x2 = - 4 ; y2 = 3
d = sqrt[(-4 - (-4))^2 + (3 - 10)^2]
d = sqrt[(-4 + 4)^2 + (-7)^2]
d = sqrt(0 + (-7)^2)
d = sqrt(49)
d = 7 units
Answer:
centre = (- 1, - 3 ) , radius = 6
Step-by-step explanation:
the equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
given
x² + y² + 2x + 6y = 26 ( collect x and y terms )
x² + 2x + y² + 6y = 26
using the method of completing the square
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(1)x + 1 + y² + 2(3)y + 9 = 26 + 1 + 9
(x + 1)² + (y + 3)² = 36 ← in standard form
with centre = (- 1, - 3 ) and r =
= 6
Answer:
-3
Step-by-step explanation:
x(-y+z)
-1(-2+5)
-1(3)
-3
Answer:
Step-by-step explanation:
The smallest is 4 and since there has to be two fives, the two middle numbers are 5. The range 3 so that means the biggest number is 7. So the set is 4,5,5,7
For this case we have the following equation exponentially:

Where,
- <em>A: initial population </em>
- <em>b: growth rate </em>
- <em>t: time in years</em>
Then, replacing values for 32 years we have:

Answer:
the approximate population in 32 years is:
