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

i believe the answer is d.

hope it you! : d

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.