<h3>
The solution is x = 27</h3>
To undo a log, you raise both sides as exponents. This will cancel out the log on the left side. On the right side you'll have 6^2 turn into 36.
So you should end up with x+9 = 36 after you perform this step. Afterwards, subtract 9 from both sides to end up with x = 27.
A: 40 because supplements add up to 180
B: 54 because complements add up to 90
Answer:
y=2x+6
Step-by-step explanation:
slope intercept formula → y=mx+b
so 2 is your slope and the point (0,6) crosses the y-intercept at 6 since x = 0
plugin 2 for m (or the slope) and 6 for b (y-intercept)
your answer → y=2x+6
Answer:
The estimated sum is ≈10
Step-by-step explanation:
This depends on how your professor wants you to estimate sums. Logically, though, a value of nearly 4 and a value of just over 6 add to about 10. The exact answer would be a bit over 10, at ≈10.14117
Answer:
centre = (- 3, - 2) , radius = 1
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 + 6x + y² + 4y + 12 = 0 ( subtract 12 from both sides )
x² + 6x + y² + 4y = - 12
Use the method of completing the square on the x and y terms
add ( half the coefficient of the x/ y terms )² to both sides
x² + 2(3)x + 9 + y² + 2(2)y + 4 = - 12 + 9 + 4
(x + 3)² + (y + 2)² = 1 ← in standard form
with centre = (- (- 3), - (- 2)) and r² = 1, that is
centre = (- 3, - 2) and radius = 1
