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Free_Kalibri [48]
3 years ago
11

3.5 and 3 write a quadratic equation with each pair of values as roots

Mathematics
1 answer:
VLD [36.1K]3 years ago
7 0

Hello from MrBillDoesMath!

Answer:  x^2 - 6.5x + 10.5 = 0

Discussion:

If the roots are 3 and 3.5, then the quadratic equation is

(x -3 ) ( x - 3.5) = 0

or

x * (x - 3.5) - 3 (x - 3.5) = 0

or

X^2 - 3.5X - 3X + 3(3.5) = 0

or

x^2 - 6.5x + 10.5 = 0



Thank you,

MrB

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Find the equation of the line that has slope of 7 and passes through the point (-9,2).
lawyer [7]

Answer:

y=7x+65

Step-by-step explanation:

You want to find the equation for a line that passes through the point (-9,2) and has a slope of 7.

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

To start, you know what m is; it's just the slope, which you said was 7. So you can right away fill in the equation for a line somewhat to read:

y=7x+b.

Now, what about b, the y-intercept?

To find b, think about what your (x,y) point means:

(-9,2). When x of the line is -9, y of the line must be 2.

Because you said the line passes through this point, right?

Now, look at our line's equation so far: . b is what we want, the 7 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-9,2).

So, why not plug in for x the number -9 and for y the number 2? This will allow us to solve for b for the particular line that passes through the point you gave!.

(-9,2). y=mx+b or 2=7 × -9+b, or solving for b: b=2-(7)(-9). b=65.

The equation of the line that passes through the point (-9,2) with a slope of 7

is

y=7x+65

Have a nice day!

5 0
2 years ago
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