Answer:
Step-by-step explanation:
12 / v....when v = 2
12 / 2 = 6 <==
Answer:
0.0045 hectograms are in 45 centigrams
Step-by-step explanation:
Answer:
48600 cm^2
Step-by-step explanation:
Answer:
A) -p + 38
B) k + 1
C) a_n = 4n + 1
D) a_n = 7n - 6
E) a_n = 14 - 4n
Step-by-step explanation:
A) 5(p + 6) - 2(3p + 4)
Multiply out the bracket to get;
5p + 30 - 6p + 8
>> -p + 38
B) 7(k - 2) - 3(2k - 5)
Multiply out the bracket to get;
>> 7k - 14 - 6k + 15
>> k + 1
C) Sequence is;
5, 9, 13, 17, 21
This is clearly an AP(arithmetic progression) because the difference between each term is 4.
Formula for nth term of an AP is;
a + (n - 1)d
Where d is difference and a is first term
Thus;
a_n = 5 + (n - 1)4
a_n = 5 + 4n - 4
a_n = 4n + 1
D) Sequence is 1, 8, 15, 22, 29.
This is also an AP.
Difference is 7.
Thus,nth term is;
a_n = 1 + (n - 1)7
a_n = 1 + 7n - 7
a_n = 7n - 6
E) 10, 6, 2, -2, -6
This is also an AP.
Difference is -4
Thus,
a_n = 10 + (n - 1)(-4)
a_n = 10 - 4n + 4
a_n = 14 - 4n
We want to find the slope-intercept equation of the line passing through (-2,-5) with a slope of 0.
Note that since the slope is 0, the line will be horizontal, as there will be no change.
And since it passes through the point (-2,-5), the equation of the horizontal line must be y = -5. Since the line is horizontal, the x-coordinate is irrelevant.
In conclusion, our equation is y = -5.
