Answer:
(7, 24, 26)
Step-by-step explanation:
A Pythagorean triple must have an odd number of even numbers. The triple (7, 24, 26) is not a Pythagorean triple.
_____
<em>Additional comment</em>
For an odd integer n, a triple can be formed as ...
(n, (n²-1)/2, (n²+1)/2)
That is, the following will be Pythagorean triples.
- (3, 4, 5)
- (5, 12, 13)
- (7, 24, 25)
- (9, 40, 41)
- (11, 60, 61)
Another series involves even numbers and numbers separated by 2:
(2n, n²-1, n²+1)
- (8, 15, 17)
- (12, 35, 37)
- (16, 63, 65)
In this list, if n is not a multiple of 2, the triple will be a multiple of one from the odd-number series.
It is a good idea to remember a few of these, as they tend to show up in Algebra, Geometry, and Trigonometry problems.
If you are writing in slope-intercept form:
You first find the slope.
Put the slope in the equation.
Substitute any point into the equation and find the y-intercept.
Answer:
161,084,000
Step-by-step explanation:
7 x 11,506,000 = 80,542,000
80,542,000 x 2 = 161,084,000
Answer:
<h2>3 weeks</h2>
Step-by-step explanation:
Step one:
given data
expected amount =$200
cash already at hand=$80
savings per week=$40
let the number of weeks be x
Step two:
the linear function for the situation is the same as the equation of a straight line
y=mx+c------1
200=4x+80
solve for x
200-80=40x
120=40x
divide both sides by 4
x=120/40
x= 3 weeks
<u>Chandler will save for 3 weeks</u>
Answer:
1/32v²sin2θ
Step-by-step explanation:
Given the expression r(theta) = 1/16v²sinθcosθ
According to double angle of trigonometry identity;
Sin2θ = sin(θ+θ)
Sin2θ = sinθcosθ + cosθsinθ
Sin2θ = 2sinθcosθ
sinθcosθ = sin2θ/2 ... **
Substituting equation ** into the question
1/16v²sinθcosθ = 1/16v²(sin2θ/2)
1/16v²sinθcosθ = 1/2×1/16v²(sin2θ)
1/16v²sinθcosθ = 1/32v²sin2θ
Hence using the double angle identity, the equivalent expression is 1/32v²sin2θ