Answer:
y = a(x² + (13/3)x + 12/3)
Step-by-step explanation:
First use the equation in x-intercept form: y = a(x-r)(x-s)
Where r and s are the values for the x-intercept
Substitute the x-intercepts
y = a(x - (-4/3)) (x - (-3))
Simplify
y = a(x + (4/3)) (x + 3)
Distributive property for brackets:
y = a(x² + 3x + (4/3)x + 12/3)
Find common denominator in fractions to collect like terms
y = a(x² + (9/3)x + (4/3)x + 12/3)
y = a(x² + (13/3)x + 12/3)
We cannot solve for the "a" value without another point.
If given the other point, substitute it for x and y to solve for a.
Then rewrite the equation with the "a" value.
1/2 = 12/24
7/8 = 21/24
19/24 = 19/24
6/8 = 18/24
The only answer that is less than 15/24 is 12/24 which is equal to 1/2
Step-by-step explanation:
Let a, b, c be the measures of the interior angles and x, y, z be the measures of the exterior angles of the triangle. Where x and adjacent to a, y is adjacent to b and z is adjacent to c.
By interior angle sum postulate of a triangle:
a + b + c = 180°... (1)
Therefore, by remote interior angle theorem:
x = b + c.... (2)
y = a + c..... (3)
z = a + b.... (4)
Adding equations (2), (3) & (4)
x + y + z = b + c + a + c + a + b
x + y + z = 2a + 2b + 2c
x + y + z = 2(a + b + c)... (5)
From equations (1) & (5)
Thus, the sum of exterior angles so formed is equal to four right angles.
Proved.
1. 19/2 is 9 r1
2. 33/4 is 8r1
I hope this helps
Answer:{F, G, H} and {G, C, A} only
Step-by-step explanation:
