An archway over a road is cut out of rock. its shape is modeled by the quadratic funciton: y = 0.1x^2 + 12 for y is greater than or equal to 0.

a) write an inequality that describes the opening of the archway

b) graph the inequality - i can do this one

c) can a camper 6ft wide and 7 ft high fir under the arch without crossing the median line? explain.

Step-by-step explanation:

Given

shape of parabola is

this is parabola which is symmetrical about y axis and vertex at (0,12)

it minimum value can be 12 at x=0

Parabola never intersect with x axis  

(c)Camper is 6 ft wide and 7 ft high

i.e.

at height of arch is

therefore camper will fit under the crossing

3 ft

step-by-step explanation:

since the triangle is right use pythagoras' identity to solve for a

the square on the hypotenuse is equal to the sum of the squares on the other two sides, that is

a² + 8² = ( )²

a² + 64 = 73 ( subtract 64 from both sides )

a² = 9 ( take the square root of both sides )

a = = 3

what do you need me to answer?

step-by-step explanation: