Answer:
You need to find k, the constant of proportionality, by dividing y with its corresponding x.
I think you shouldn't memorize any formula to solve it. But you should know that on the fahrenheit thermometer freezing point is 32 and the boiling point is 212. And in celcius, it is 0 and 100. So we can make the inference that changing 100 units in celcius corresponds to a change of 180 units in fahrenheit. Thus, we should ask that if celcius increase from 0 to 200, what would happen to fahrenheit.
Basic math:
While celcius increase 100, fahrenheit increase 180,
While celcius increase 200, fahreinheit increase 360.
And you shouldn't forget that fahrenheit's freezing point is 32.
32+increase(360)=392
Answer:
4 + 10x^2
Step-by-step explanation:
–2 (–2 – 5x^2)
Distribute
-2 *-2 -2*-5x^2
4 + 10x^2
An equilateral triangle has all side lengths the same, and all angles are 60 degrees. Using this we can split the triangle along its altitude to get two right triangles with a hypotenuse of length 10 and a base of 1/2 of the original length, so 5. Now we can either use the Pythagorean theorem (a^2+b^2=c^2) or the fact that it is a 30 60 90 triangle (angles measure at 30 60 and 90 degrees) Pythagorean theorem is probably easier.
It stated that the squares of the two legs of a right triangle add to the square of the hypotenuse. So a(the altitude)^2+5(the base)^2=10(the hypotenuse)^2
A^2+5^2=10^2
A^2+25=100
A^2=75
A=sqrt(75)
A=5*sqrt(3)
Final answer:
The altitude of an equilateral triangle with side length 10 is 5sqrt(3), or about 8.66
