We can multiple this binomial and this trinomial to find an equivalent expression.
(x + 4)(3x^2 + 2x)
3x^3 + 2x^2 + 12x^2 + 8x
Combine like terms.
3x^3 + 14x^2 + 8x is the equivalent polynomial.
C. is the correct answer because (x+3)^2 is x^2+6x+9
Answer:
The equation of the perpendicular line would be y = -2/5x - 1
Step-by-step explanation:
In order to find this line, we must first find the slope of the original line. We do this by solving for y.
-5x + 2y = -10
2y = 5x - 10
y = 5/2x - 5
This shows us a slope of 5/2. TO find the perpendicular slope, we use the opposite and reciprocal. This means we negative 5/2 to get -5/2 and then we flip it to get -2/5. Now that we have this, we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 1 = -2/5(x + 5)
y - 1 = -2/5x - 2
y = -2/5x - 1
In order to determine which subset it belongs, we must rewrite

as



All these three numbers are irrational numbers, hence their product is also irrational
<h2>

</h2><h2>belongs to the set of
irrational numbers</h2>
Answer:
The vertex (h,k) is (-4,-7).
Step-by-step explanation:
I assume you are looking for the vertex
.
The vertex form of a quadratic is
where the vertex is (h,k) and a tells us if the parabola is open down (if a<0) or up (if a>0). a also tells us if it is stretched or compressed.
Anyways if you compare
to
, you should see that
.
So the vertex (h,k) is (-4,-7).