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:
62.333 inches
Step-by-step explanation:
To find the value of x, or the height of the object, we can set up an equation to solve for the missing variable. This is shown below:
x*3.5*3=561 cubic inches
To solve for X, we divide the 3.5 over to the other side, resulting in x*3 = 187
To get the x by itself, we divide both sides by 3 to remove the 3 from the left side of the equation.
We are left with x = 62.333 inches.
Therefore, the height of the box is 62.333 inches
16. 96 is 75% of 128
18. 200%
Answer:
39 degrees
Step-by-step explanation:
Add: 39+54+48=141
180 (degrees of a straight angle) minus 141=39
39 degrees
Hope I helped!! :)
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