Hi!
(x+a)·(x+b) = x²+xa+xb+ab = x²-12x-45
x² = x²
xa+xb = (a+b)x = -12x ⇒ (a+b) = -12
ab = -45
When (a+b) = -12 and ab = -45?
+3-15 = -12 and (+3)(-15) = -45
-3-15 = -18 and (-3)(-15) = +45
+3+15 = +18 and (+3)(+15) = +45
-3+15 = +12 and (-3+15) = -45
Answer:
(x+3)(x-15)
Answer : 60x
15x^2/y × 4y^2/xy
60x^2y^2/xy^2
60x
Step-by-step explanation:
Points are (8,5) and (-12,-9)
The equation of a line passing through two points is given by :

or

But he writes the equation 7x – 10y = 3 which is not matching with the one we have calculated. It means that model calculated by Devon is not good.
Answer:
∅1=15°,∅2=75°,∅3=105°,∅4=165°,∅5=195°,∅6=255°,∅7=285°,
∅8=345°
Step-by-step explanation:
Data
r = 8 sin(2θ), r = 4 and r=4
iqualiting; 8.sin(2∅)=4; sin(2∅)=1/2, 2∅=asin(1/2), 2∅=30°, ∅=15°
according the graph 2, the cut points are:
I quadrant:
0+15° = 15°
90°-15°=75°
II quadrant:
90°+15°=105°
180°-15°=165°
III quadrant:
180°+15°=195°
270°-15°=255°
IV quadrant:
270°+15°=285°
360°-15°=345°
No intersection whit the pole (0)