Determine the conic section given by each of the following equations. Be sure to show all work to find the standard form of the equation of each conic section. 10 points each. Correct conic section (2 points) All work shown (8 points) 1. 3x^2 + 5y^2 − 12x + 30y = −42

2. x^2 + 3y^2 + 4x = 5

3. x^2 + 2x + 4y = 7

4. −9x^2 + 25y^2 − 54x − 50y − 281 = 0

5. 12x^2 − 4y^2 − 72x − 16y + 44 = 0

step-by-step explanation:

i found the koficent of the linear function and i foun c acordind to the strict formula y=kx+c and then i took 2 as an x and replacet it on the formula i found and then foun the y

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

answer: entity is prob the answer

step-by-step explanation: