For each equation below, identify the graph as either an ellipse, a hyperbola, two lines, or a single point. if possible,
write the equation in the standard form for either an ellipse or a hyperbola.
a. 4x2 − 8x + 25y2 − 100y + 4 = 0
b. 4x2 − 16x − 9y2 − 54y − 65 = 0
c. 4x2 + 8x + y2 + 2y + 5 = 0
d. −49x2 + 98x + 4y2 − 245 = 0
e. what can you tell about a graph of an equation of the form ax2 + bx + cy2 + dy + e = 0 by looking at the
coefficients?

Write a function for a rotation 90 degrees counter clockwise about the origin, point 0

10 points? me . its important ‼️‼️

Acompany produces packets of soap powder labeled “giant size 32 ounces.” the actual weight of soap powder in such a box has a normal distribution with a mean of 33 oz and a standard deviation of 0.7 oz. to avoid having dissatisfied customers, the company says a box of soap is considered underweight if it weighs less than 32 oz. to avoid losing money, it labels the top 5% (the heaviest 5%) overweight. how heavy does a box have to be for it to be labeled overweight?