Answer:
A and A
the equation of a parabola in vertex form is
y = a(x - h)² + k
where ( h, k ) are the coordinates of the vertex and a is a multiplier
y = - 2(x + 3)² + 2 is in this form
with vertex = ( - 3, 2)
To find the y-intercept let x = 0
y = - 2(3)² + 2 = - 18 + 2 = - 16
Similarly
y = - 2(x + 2)² + 2 is in vertex form
vertex = ( - 2 , 2)
x = 0 : y = - 2(2)² + 2 = - 8 + 2 = - 6 ← y- intercept
hope this helped
Answer: p = 30 q = 30 (if not touching edge of hexagon but if it is touching edge one of the pairs) then p or q = 120 and p and q = 30
Step 1) Sum of an interior angle of a polygon = 720 degree where n = 6 as 6 exterior sides = (n-2) * 180 = (6-2) * 180 = 4 * 180 = 720 degree Where the measure of each angle of a hexagon = 720/ 6 = 120 degree Step 2) Then show 3 angle letter names = 180 degree Step 3) Angle name letters + 2 angle (other two names letters inside within triangle) add up to 180 degree Step 3) State since triangle name (of all letters within one triangle) is Isosceles Step 4) <u>Triangle (state same triangle letters with number 2 in front) = 180 - 120 = 60 then state triangle (letter name) / 2 = 30 degrees </u>obviously the 120 and 60 differentiates if not a hexagon to a pentagon if not a hexagon = (3 *180) / 5 = 108 then due to isosceles (180 - 108)/ 2 = 72/2 = 36 degree for a p<u>entagon </u>or 30 degree each for p + q for a <u>hexagon</u> etc
Step-by-step explanation:
=n2-11n+18
=n2-(9+2)n+18
=n2-9n-2n+18
=n(n-9)-2(n-9)
=(n-2)(n-9)
Answer:
a is equal to 0.3
Step-by-step explanation:
12a + 5 -8a =-1
(collect like terms)
12a + 8a= -1 -5
20a = -6
a= -6÷20
a= 3÷ 10
a= 0.3