The hypotenuse^2 = leg1^2 + leg2^2
The hypotenuse is always the LONGEST side of any right triangle.
It is also the side that is opposite the right angle
Answer: x=5 y=6
Step-by-step explanation: 6y=3× +21
6y-6=2× +20
Opposite sides of the rectangle are equal
Substitute 3x +21 into 6y in the second equation.
The value of the Nintendo after 35 years is $2455
Since the formula f(x) = 3x² - 40x + 180 predicts the value of the Nintendo x years after 1986.
Since we require the value in 2021, x years after 1986 is 2021 - 1986 = 35 years.
Substituting x = 35 into the equation, we have
f(x) = 3x² - 40x + 180
f(x) = 3(35)² - 40(35) + 180
f(x) = 3(1225) - 40(35) + 180
f(x) = 3675 - 1400 + 180
f(x) = 2275 + 180
f(x) = 2455
So, the value of the Nintendo after 35 years is $2455
Do you think this is a realistic prediction of the value of that Nintendo?
This is not a realistic prediction for the value of the Nintendo, because, it is too high.
Learn more about quadratic equations here:
brainly.com/question/13704125
Answer:
The no. of variations in sign is 3
Step-by-step explanation:
Variation in sign occurs when every single time a negative product is produced by a pair of consecutive terms.
Therefore, the determination of the number of changes in sign in the given sequence is must.
Therefore, we take the product of the pair of consecutive terms as:
= - 3, variation in sign
= - 6, variation in sign
= 10, no sign variation
= - 20, variation in sign
= 24, no sign variation