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:
4
Step-by-step explanation:
4x+5+3x-2=31
7x+3=31
7x=28
x=4
Answer:
Scale is 1/6
Step-by-step explanation:
Since all sides and angles are identical these are congruent triangles
3 ways to solve:
Scale Factor = DE / AB = 12/72 = 1/6
Scale Factor = DF/AC = 7/42 = 1/6
Scale Factor = EF/CB = 11/66 = 1/6
his score was increased... so if he is now at 67 and it was increased by 7 so his first grade would have been 60.
Make a table graph and go from 0-10 top for weeks and bottom for miles, label one Jeramy and the other one tony. For Jeremy add one mile each week and for timely add to by week 4 they both should have ran 10 miles