Answer:
-2 and 5
Step-by-step explanation:
If roots of a quadratic are "a" and "b", then (x-a) and (x-b) are factors. Then the quadratic can be written as ...
y = (x -a)(x -b) = x^2 -(a+b)x +ab
That is, the constant (-10) is the product of the roots, and the x-coefficient (-3) is the opposite of their sum.
In short, you want a solution pair that has a sum of 3. Only one answer qualifies: -2 and 5.
Answer:
750 kilometers
Hope its right have a good day.
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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just a quick note, that triangle is misleading some, since the HG side of 6 units, shows longer than GE which is 8, and of course 8 > 6.
Since GE is a perpendicular bisector, that means the angle at G is 90°.
Check the picture below.
