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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Answer:
125 cm^3
Step-by-step explanation:
To calculate this volume, we make use of the formula for calculating the volume of a cube.
Mathematically, this is equal to L^3 where L is the length of a side of the cube.
plugging the value of 5 into the equation, the volume will be 5 * 5 * 5 = 125 cm^3
Answer:
Step-by-step explanation:
x = 12
Step-by-step explanation:
The slope-intercept form formula, , can be used to write an equation for the line.
Where,
m = slope =
b = y-intercept, which is the point at which the line intercepts the y-axis. At this point, x = 0.
Let's find the slope (m) using the coordinates of the two points given, (0, 30), (3, 60).
Let,
y-intercept of the line, b = 30
Equation for the line would be:
Using the equation, find x when y = 150.
Simply substitute the value for y in the equation to find x.
Subtract 30 from both sides
Divide both sides by 10
x = 12
Answer:
27°
Step-by-step explanation:
angle FDG is a alternate interior angle with angle BDG
Answer:
the slope is 2/3
Step-by-step explanation:
the line starts at 5(b) and to get a whole number point you go up 2 and over 3.
