Answer:
yes
Step-by-step explanation:
The side lengths satisfy the Pythagorean theorem, so the triangle is a right triangle.
7.5² +10² = 12.5²
56.25 +100 = 156.25
_____
You may recognize that the ratios of side lengths are ...
7.5 : 10 : 12.5 = 3 : 4 : 5
A 3-4-5 triangle is a well-known right triangle, as this is the smallest set of integers that satisfy the Pythagorean theorem. They also happen to be consecutive integers, so form an arithmetic sequence. Any arithmetic sequence that satisfies the Pythagorean theorem will have these ratios.
_____
If you're familiar with trigonometry, you know the law of cosines tells you ...
c² = a² + b² - 2ab·cos(θ) . . . . where θ is the angle between sides a and b. This reduces to the Pythagorean theorem when θ=90°, which makes cos(θ)=0. If the sides do not satisfy the Pythagorean theorem, cos(θ)≠0 and the triangle is not a right triangle.
Answer:
m= -2
b = 3
Step-by-step explanation:
Take two points from line.
(0,3) and (1,1)
now slope(m) = (1-3)/(1-0)
m = -2
now
y = mx+b
or, 3 = -2×0+b
or, 3 = 0+b
so, b = 3
Answer:
6 friends, $2 left
Step-by-step explanation:
He has $38 dollars, but each ticket costs $6. Divide them to see how many tickets he can buy.
38/6 = 6 remainder 2
He can pay for 6 friends, and the remainder is $2.
(2x/-5x)+x^2
(x(2)/(x(-5))+x^2
(-2/5)+x^2, the x values cancel in numerator and denominator and simplify to -2/5
Answer:
Step-by-step explanation:
Given the exponential decay function 
When 
then
so the initial amount is 
The exponential decay function 
has the decay factor 
In your case, the eexponential decay factor is 
