What number should be added to 95 to get a sum of −21?
1 answer:
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Answer:
see the explanation
Step-by-step explanation:
we know that
The surface area of a prism is given by the formula
where
B is the area of the base
P is the perimeter of the base
H is the height of the prism
For both prism the formula is the same
How is it different?
Rectangular prism
The area of the base is given by the formula
-----> is the area of rectangle
where
L is the length and W is the width of rectangle
The perimeter of the base is given by
---> is the perimeter of rectangle
The height H is the same in both cases
Triangular prism
The area of the base is given by the formula
-----> is the area of the triangular base
where
b is the base of triangle and h is the height of triangle
The perimeter of the base is given by
---> is the perimeter of triangle
where
a, b and c are the length sides of triangle
The height H is the same in both cases
Answer:
Step-by-step explanation:
2x³+ 6x² - x - 10 = 0
(1) Possible roots
The Rational Roots Theorem states that, if a polynomial has any rational roots, they will have the form p/q, where p is a factor of the constant term and q is a factor of the leading coefficient.
In your function, the constant term is -10 and the leading coefficient is 2, so
Factors of 10 = ±1, ±2, ±5, ±10
Factors of 2 = ±1, ±2
(2) Synthetic division
Rather than work through all 12 possibilities, I will do one that works.
So, x = -2 is a root, and the quotient is 2x² + 2x - 5.
(3) Check for other rational roots
2x² + 2x - 5 = 0
D = b² - 4ac =2²- 4(2)(-5) = 4 + 40 = 44
√44 = 2√11, which is irrational.
Since irrational roots come in pairs, the cubic equation has two real, irrational roots and one rational root at x = -2.