Answer:
The volume of the prism is 
Step-by-step explanation:
we know that
The volume of the prism is equal to
where
B is the area of the triangular base
L is the length of the prism
we have
<em>Find the area of the base B</em>
The area of a equilateral triangle is equal to
substitute
Answer:
The first picture goes with the second sentence.
The second picture goes with the first sentence.
The third picture goes with the third sentence.
The fourth picture goes with the fourth sentence.
Step-by-step explanation:
Answer:
the third one is the one having the highest y - intercept.
reason ; the equation is of the form y = x +c
substituting the given values of y and x to get the value of c,
the first one will give c = -8
the second will give c = -1
and the third will give c = 6
Step-by-step explanation:
Answer:
Suppose we have a polynomial of degree N with a leading coefficient A and roots {x₁, x₂, ..., xₙ}
We can write this polynomial as:
P(x) = A*(x - x₁)*(x - x₂)*...*(x - xₙ)
such that the terms:
(x - x₁), (x - x₂), etc...
are called the factors.
In this case, we know that the roots OF THE FACTORS
are:
(x = - 2)
(x = - (1 + √5))
(x = + 3i)
If the root of the polynomial is x = -2, then the factor should be:
(x + 2)
which is zero when we evaluate x in -2
Then the correct option is the first one.
