The equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.
<h3>What is a Quadratic Equation?</h3>
Quadratic equation is simply an algebraic expression of the second degree in x. Quadratic equation in its standard form is;
ax² + bx + c = 0
Where x is the unknown
From the given data, we check which of them fits the standard form of a quadratic equation.
- 2(x + 5)² + 8x + 5+ 6 = 0
2(x + 5)² + 8x + 5 + 6 = 0
2( (x(x+5) + 5(x+5) ) + 8x + 5 + 6 = 0
2( x² + 5x + 5x + 25 ) + 8x + 5 + 6 = 0
2( x² + 10x + 25 ) + 8x + 5 + 6 = 0
2x² + 20x + 50 + 8x + 5 + 6 = 0
2x² + 20x + 8x + 50 + 5 + 6 = 0
2x² + 28x + 61 = 0
Therefore, the equation that fits the standard form of a Quadratic equation is 2(x + 5)² + 8x + 5 + 6 = 0 which can be re-written as 2x² + 28x + 61 = 0.
Learn more about quadratic equations here: brainly.com/question/1863222
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y-2 = 3(x+7) put it in y=mx+b form (slope intercept)
y-2 = 3(x+7) distribute 3
y-2 = 3x+21 add 2 to both sides
+2 +2
y = 3x + 23
so now the slope of that is 3 so the new equation has a slope of 3 because parallel slopes are equal.
my new line has a slope of 3 and point (4,2)
so we use point slope formula y-y1 = m(x-x1)
y-2 =3(x-4) put it in y=mx+b form (slope intercept)
y-2 = 3(x-4) distribute 3
y-2 = 3x -12 add 2 to both sides
+2 +2
y = 3x + 10 which is you line slope intercept with parallel slope and contains (4,2)
Answer:
Exact Form = 
Decimal Form = 0.32142857
Answer:
The answer to your question is z = 87 cm
Step-by-step explanation:
Data
Surface area of the rectangular prism = 8,462 cm²
Find z
Process
1.- Write and equation that help to solve the problem
Surface area = 2(13z) + 2(13)(31) + 2(31z)
-Simplify
8462 = 26z + 806 + 62z
8462 - 806 = 26z + 62z
7656 = 88z
z = 7656/88
-Result
z = 87 cm
8 * 3/4 = 24/4
24/4 = 6
The answer is 6.
Hope this helped☺☺
