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Pavlova-9 [17]
2 years ago
7

If alpha beta are the roots of the equation

Mathematics
1 answer:
Vikki [24]2 years ago
8 0

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\ \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }

Thank you

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Angles C and D are complementary. The measure of angle D is 25 degrees greater than the measure of angle C. What is the measure
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90-25 = 65
65/2 = 32.5

32.5+25 = 57.5

C is 32.5 degree.
D is 57.5 degree.
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For which equation is x=35 a solution​
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Step-by-step explanation:

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Mr. mole left his burrow that lies 7 meters below the ground and started digging his way deeper into the ground, descending at a
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Answer:

f(t)=-\frac{3}{2}t-7

Step-by-step explanation:

We know that:

  • The initial conditions are -7 meters at 0 minutes.
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According to these two simple facts we can found the linear function that describes this problem. First, the problem says that Mr. Mole is descending at a constant rate, which is the slope of the function. Now, to calculate the slope we need to points, which are (0;-7) and (6;-16), where <em>t-values </em>are minutes, and <em>y-values </em>are meters. You can see, that the first point is the initial condition and the second point is 6 minutes later.

So, we calculate the slope:

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From the slope we can see that Mr. Mole is descending, because it has a negative sign. Also, the point (0;-7) is on the <em>y-axis</em>, because <em>t</em> is null, so -7 is part of the function. Therefore the function that describes this problem is:

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Answer:

See below

Step-by-step explanation:

<u>Convert equation to vertex form </u>y=(x-h)^2+k<u> by completing the square:</u>

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y+5=x^2+2x+1

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<u>Vertex:</u>

<u />(h,k)\rightarrow(-1,-5)<u />

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<u />

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