Step-by-step explanation:
subtract
i think this
<h2>
The required poynomial equation is
.</h2>
Step-by-step explanation:
Given,
The zeros of the polynomial are - 4, - 2, 1 and 4
To find, the polynomial equation = ?
We know that,
The polynomial equation = (x - A)(x - B)(x - C)(x - D)
= (x + 4)(x + 2)(x - 1)(x - 4)
= [(x + 4)(x - 4)] [(x + 2)(x - 1)]
= (
)(
)
= (
)(
)
= 
= 
Thus, the required poynomial equation is
.
The length of the altitude is 9.5 cm.
The altitude bisects the base of the equilateral triangle (this is because the two sides emerging from the vertex are equal). This gives us a right triangle with leg 5.5 and hypotenuse 11. We use the Pythagorean theorem:
5.5² + h² = 11²
30.25 + h² = 121
Subtract 30.25 from both sides:
30.25 + h² - 30.25 = 121 - 30.25
h² = 90.75
Take the square root of both sides:
√h² = √90.75
h = 9.5
Answer: 9000$
Step-by-step explanation:
Let 's use the formula to find the vertex of the parabola:
ax²+bx+c=0

This is a conditional probability question.
The conditional probability is given as follows: The probability of an event A given B is given by

Thus, given that the
fracture toughness of a particular steel alloy is known to be
normally distributed with a mean of 28.3 and a standard deviation of
0.77.
The probability that the fracture toughness will be between 29 and 40.3 given that the <span>fracture toughness is at least 27 is given by



Thus, </span>the probability that the fracture toughness will be between 29 and 40.3 given that the <span>fracture toughness is at least 27 is given by</span>