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angie2118
29.01.2021 •
Mathematics
It is known that x and y are roots of the equation
, where
.
Find k
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Ответ:
Step-by-step explanation:
We are going to express
y in terms of x.
=> 2x + 3y = -4, y = (-4 - 2x)/3.
By Vieta's Formula,
We have SOR = -b/a and POR = c/a.
=> x + y = -7/6, xy = k/6.
When x + y = -7/6,
x + (-4 - 2x)/3 = -7/6.
=> (x - 4)/3 = -7/6
=> (x - 4) = -7/2
=> x = 4 - 7/2
=> x = 0.5.
When xy = k/6,
x(-4 - 2x)/3 = k/6.
Hence k = 6[x(-4 - 2x)/3]
= 2x(-4 - 2x) = 2(0.5)(-4 - 2(0.5)) = -5.
The value of k is -5.
Ответ:
Step-by-step explanation:
We have the quadratic equation:
Where x and y are the roots of the equation and:
First, using the quadratic formula with a = 6, b = 7, and c = k, we can find the roots to be:
Simplify:
So, our two roots are:
For our first root, we can multiply both sides by 2.
And for our second root, we can multiply both sides by 3.
So, this produces:
Since we are given that:
By substitution:
Remove the fractions by multiplying both sides by 12:
Combine like terms:
Adding 35 to both sides produces:
So:
Squaring produces:
Therefore:
Ответ:
Angle c is a right angle, symbolized by the box drawn on top of it.
Angle c = 90
Angle a = 28
If the sum of the measures of the angles of a triangle is 180, then all you need to do is add the measure of the known angles and subtract the sum from 180.
Angle b = 62