The discriminant of the given quadratic equation as in the task content can be evaluated by means of the formula; D = b²-4ac and it's value is; 13.
<h3>What is the discriminant of the quadratic equation as given in the task content?</h3>
According to the task content, it follows that the quadratic equation whose discriminant is to be determined is; x²-5x+3=0.
By comparison with the standard form equation of a quadratic graph which goes thus; ax²+bx +c = 0, in which case, the determinant is given by the expression; b² - 4ac.
We can consequently evaluate the determinant of the quadratic equation in discuss as follows;
Determinant = b² -4ac = (-5)² - (4×1×3) = 25 - 12
Hence, the determinant in this case is; 13.
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Answer:
RT = 20
Step-by-step explanation:
Point S is on line segment
R------------S------------T
RS + ST = RT
Given
ST=3x-8
RT=4x
RS=4x-7,
Step 1
We find x
4x - 7 + 3x - 8 = 4x
4x + 3x -7 - 8 = 4x
7x - 15 = 4x
7x - 4x = 15
3x = 15
x = 15/3
x = 5
Step 2
We find RT
RT = 4x
x = 5
RT = 4 × 5
RT = 20
The numerical length of RT is 20
Answer:
Step-by-step explanation:
The equation of the function in exponential form is
The function is determined using points (0,1) and (1,3), so their coordinates satisfy the eduation. Substitute them:
![1=a\cdot b^0\Rightarrow a=1\ \ [b^0=1]\\ \\3=a\cdot b^1\Rightarrow 1\cdot b=3,\ b=3](https://tex.z-dn.net/?f=1%3Da%5Ccdot%20b%5E0%5CRightarrow%20a%3D1%5C%20%5C%20%5Bb%5E0%3D1%5D%5C%5C%20%5C%5C3%3Da%5Ccdot%20b%5E1%5CRightarrow%201%5Ccdot%20b%3D3%2C%5C%20b%3D3)
Thus, the equation of the function is
Answer:
Below in bold.
Step-by-step explanation:
sin 66.4 = opposite side / hypotenuse
sin 66.4 = 21.3 / y
y = 21.3 / sin 66.4
y = 23.24.
tan 66.4 = 21.3 / x
x = 21.3 / tan 66.4
x = 9.31.
4
Step-by-step explanation:
