Answer:
Step-by-step explanation:
We are given quadratic equations as
and it can be factored as
now, we can multiply factor term
now, we can compare
so, we get
we are given that
'a' and 'b' are integers
so, we can find all possible factors
so, we can find k
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
At 
:
we can plug values
So, values of k are
Answer:
Area of circle A =113.14 mm²
Area of circle b = 314.29 mm²
Area of circle C = 452.57 mm²
Area of circle A = 254.57 mm²
2.25 times
Step-by-step explanation:
Area of a circle = nr²
where n = 22/7
r = radius
Circle A's radius = 6mm
Circle B's radius = 6mm + 4mm = 10mm
Circle C's radius = 10mm + 2mm = 12mm
Circle D's radius = 12mm - 3mm = 9mm
Area of circle A = (22/7) x 6² = 113.14 mm²
Area of circle b = (22/7) x 10² = 314.29 mm²
Area of circle C = (22/7) x 12² = 452.57 mm²
Area of circle A = (22/7) x 9² = 254.57 mm²
Number of times the area of circle D is greater than that circle A = Area of circle D / Area of circle A
254.57 mm² / 113.14 mm² = 2.25 times
Answer: No, it is not a solution
Work Shown:
-2 ≤ k/3
-2 ≤ -9/3
-2 ≤ -3
The last inequality is false because -3 should be smaller than -2 (not the other way around). Use a number line to help see this.
Since the last inequality is false, the original inequality must also be false for that particular k value. Therefore, k = -9 is not a solution.
Answer:
Step-by-step explanation:
1) (x-3),(x-8)
2) 3x^3+3x^2=27x
3
(
x
3^3+
x
^2
−
9
x
−
9
)
3
(
x
^2
(
x
+
1
)
−
9
(
x
+
1
)
)
3
(
(
x
+
1)(
x
^2
−
9
)
)
3
(
(
x
+
1
)
(
x
^2
−
3
^2
)
)
3
(
x
+
1
)
(
x
+
3
)
(
x
−
3
)
