Hello!
(x+a)·(x+b) equals x²+xa+xb+ab which simplifies to x²-12x-45
x² equals x²
xa+xb can be expressed as (a+b)x = -12x thus, (a+b) = -12
ab equals -45
Under what conditions do (a+b) equal -12 and ab equal -45?
+3-15 results in -12 while (+3)(-15) gives -45
-3-15 yields -18 and (-3)(-15) results in +45
+3+15 produces +18 and (+3)(+15) also equal to +45
-3+15 equals +12 and (-3+15) results in -45
Conclusion:
(x+3)(x-15)
Answer:
Step-by-step explanation:
The image provided presents the complete problem statement while the word document contains the solution.
A. x + y = 75 B. She dedicates 25 minutes to running and 50 minutes to dancing daily. C. Yes, that's correct.
Answer:
m∠ABE = 27°
Step-by-step explanation:
* To analyze the figure to address the query
- AC represents a line
- Ray BF crosses line AC at point B
- Ray BF is perpendicular to line AC
Thus, both ∠ABF and ∠CBF are classified as right angles
Which gives us ∠ABF = ∠CBF = 90°
- Rays BE and BD meet line AC at point B
Since m∠ABE is equal to m∠DBE, as indicated by the same symbol in the figure
It implies that BE acts as the angle bisector of angle ABD
Given that m∠EBF = 117°
Then m∠EBF = m∠ABE + m∠ABF
Where m∠ABF = 90°
So, 117° = m∠ABE + 90°
- By subtracting 90 from both sides
It follows that m∠ABE = 27°
