Answer:
The vertex of the parabola = (-7 , -4)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the parabola y = 4 x² + 56 x +192
y = 4 (x² + 14 x + 48 )
y = 4 ( x² + 2 × 7 (x) + 49-1)
y = 4 ( x² + 2 × 7 (x) + 49)- 4
we apply the formula
(a +b)² = a² + 2ab + b²
y = 4 ( x + 7 )² - 4
<u>Step(ii):-</u>
<em>The general form of the parabola in algebraically</em>
<em> y = a ( x-h)² +k</em>
<em>The equation </em>
<em> y = 4 ( x + 7 )² - 4</em>
y = 4 ( x-(-7))² - 4
The vertex of the parabola (h,k) = (-7 , -4)
<u>Final answer:-</u>
The vertex of the parabola = (-7 , -4)
Answer:
1. T =34
2.143 =exterior A
Step-by-step explanation:
The sum of the angles in a triangle is 180 degrees
T+H+E =180
T + 107+39 = 180
Combine like terms
T +146 = 180
Subtract 146 from each side
T +146-146 = 180-146
T =34
The exterior angle is the sum of the opposite interior angles in a triangle.
B+T =exterior A
66 +77 = exterior A
143 =exterior A
