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- A,D,E
Step-by-step explanation:
A table featuring two columns with 5 rows. The first column, labeled x, contains the values: -2, 0, 2, 4. The second column, labeled y, includes the values: 6, 3.5, 1, -1.5.
Which equations correspond to the data shown in the table? Select all that apply.
y – 6 = -5/4(x + 2)
y – 2 = -5/4(x - 1)
y + 2 = -5/4(x - 6)
y – 1 = -5/4(x - 2)
y – 3.5 = -1.25x
This is just rewording the question
Answer with explanation: Given that Circle 1 has a center at (−4, −7) and a radius of 12 cm, while Circle 2's center is at (3, 4) with a radius of 15 cm. Two circles are similar if one can be transformed and scaled to fit over the other, creating identical circles. The circles qualify as similar because the transformation rule (x,y) → (x+7,y+11) can be applied to Circle 1, followed by dilation using a scale factor of 5/4. Since Circle 1's center is at (-4,-7), we translate it to (3,4) through (-4+7,-7+11). With Circle 1 having a radius of 12 and Circle 2 having 15 cm, we denote the scale factor as k.
Answer:
9 minutes
Step-by-step explanation:
By dividing 45 by 5, we find that the result equals 9
