Answer:
- 1
Step-by-step explanation:
The product of the slopes of lines perpendicular to each other is - 1
Given y = 4x - 5 with slope 4
y = - x - 5 with slope -
then
4 × - = - 1 proving the lines are perpendicular
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1 answer:
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Answer:
Step-by-step explanation:
Given in the question an expression,
As we know that,
so
it could also be written as
First to solve inner square root
Second outer square root
=
An arithmetic sequence with first term a, and a common distance d si as follows:
m, m+d, m+2d, m+3d, ...
(for example: 3, 8, 13, 18 .... m=3, d=5)
let
be the n'th term of the arithmeti sequence
m, m+d, m+2d, m+3d, ...
then
so it is clear that the n'th term, si given by :
compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)
it is clear that m=-3, and d=-2.2,
so the sequence
m, m+d, m+2d, m+3d, ...
becomes:
-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....
so
-3, -5.2, -7.4, -9.6
the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:
<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8
remark, we could have use the formula directly and solve for A(1), A(4) and A(10),
but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.
Answer:
1st term=-3
2nd term=-9.6
10th term = -22.8</span>
m, m+d, m+2d, m+3d, ...
(for example: 3, 8, 13, 18 .... m=3, d=5)
let
m, m+d, m+2d, m+3d, ...
then
so it is clear that the n'th term, si given by :
compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)
it is clear that m=-3, and d=-2.2,
so the sequence
m, m+d, m+2d, m+3d, ...
becomes:
-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....
so
-3, -5.2, -7.4, -9.6
the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:
<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8
remark, we could have use the formula directly and solve for A(1), A(4) and A(10),
but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.
Answer:
1st term=-3
2nd term=-9.6
10th term = -22.8</span>