Determine the quadratic equations whose graph is given the vertex is (1,1) and the y intercept is (0,-7).

The vertex form of a quadratic equation is

... y = a(x -h)² + k . . . . . . where the vertex is (h, k) and "a" is some multiplier

Then using the given information, we can find "a".

... -7 = a(0 -1)² +1 = a+1

... -8 = a

The quadratic equation is

... y = -8(x -1)² +1 . . . . vertex form

or

... y = -8x² +16x -7 . . . . standard form

x = 10.1

step-by-step explanation:

all of the angles of a tirangle add up to 180º

180 - 65 = 115 (since we already know the value of one angle)

(2x + 7) + (8x + 7) = 115

(combins like terms) 10x + 14 = 115

(isolate the variable subtract 14 from both sides): 10x = 101

(find the variable divide both sides by 10): x = 101/10

x = 10.1

answer: no, but if it does it's a obvious pattern.

step-by-step explanation: