Answer:
Step-by-step explanation:
ΔPQS, ΔRQP and ΔRPS are similar (AA). Therefore the sides are in proportion:
We have:
Substitute:
<em>cross multiply</em>
Use the Pythagorean theorem:
Substitute:
How to solve:
-
Write all numerators above the least common denominator which is 24 in this case.
Subtract the numbers
Alternate form: 0.458333
The final, simplified, fraction answer is:
The mathematical expression of the given above is 4/y^-3 where only the denominator is raised to exponent -3. Remember that the expression x^-n may also be expressed as 1/x^n. Thus, for the given, transfer the y^-3 of the denominator to the numerator to give the final answer of 4y³.
First you have to find the slope, the slope formula is m = y2 - y1/ x2 - x1
m = y2 - y1/ x2 - x1 (-3, 8) (7, 6)
m = 6 - 8/ 7 - (-3)
m = -2/10
m = -1/5
point-slope formula;
y - y1 = m(x - x1) m = -1/5 (-3, 8)
y - 8 = -1/5(x - (-3)
y - 8 = -1/5(x + 3)
so the answer is, B.
hope this helps, God bless!
Answer:
First, let's define an arithmetic sequence:
In an arithmetic sequence, the difference between any two consecutive terms is always the same.
Then we can write it in a general way as:
aₙ = a₁ + (n - 1)*d
where:
aₙ is the n-th term of the sequence.
d is the constant difference between two consecutive terms.
a₁ is the initial term of our sequence.
Now in this case we know that the first terms of our sequence are:
84, 77, ...
Then we know the initial term of our sequence:
a₁ = 84.
And the value of d can be calculated as:
d = a₂ - a₁ = 77 - 84 = -7
Then the general way of writing this sequence is:
aₙ = 84 + (n - 1)*(-7)
And the recursion relation is:
aₙ = aₙ₋₁ - 7
So for the n-th term, we must subtract 7 of the previous term.
