Answer:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
x = -4 , x = 2 when y = 0
Step-by-step explanation:
3x² + 6x - 24 = 0
(3x - 6)(x + 4) = 0
Means
3x - 6 = 0 ⇒ 3x = 6 ⇒ x = 6 ÷ 3 = 2
x + 4 = 0 ⇒ x = -4
The Parabola which represents the quadratic equation intersects x-axis at
points (2 , 0) and (-4 , 0)
<u>Given</u>:
The sides of the base of the triangle are 8, 15 and 17.
The height of the prism is 15 units.
We need to determine the volume of the right triangular prism.
<u>Area of the base of the triangle:</u>
The area of the base of the triangle can be determined using the Heron's formula.

Substituting a = 8, b = 15 and c = 17. Thus, we have;


Using Heron's formula, we have;





Thus, the area of the base of the right triangular prism is 36 square units.
<u>Volume of the right triangular prism:</u>
The volume of the right triangular prism can be determined using the formula,

where
is the area of the base of the prism and h is the height of the prism.
Substituting the values, we have;


Thus, the volume of the right triangular prism is 450 cubic units.
Answer:
see below. The solution is the doubly-shaded area.
Step-by-step explanation:
Each boundary line will be dashed, because the "or equal to" case is <em>not included</em>. Each shaded area will be above the corresponding boundary line because the comparison symbol is y > .... That is, only y-values greater than (above) those in the boundary line are part of the solution.
Of course, the boundary lines are graphed in the usual way. Each crosses the y-axis at the value of the constant in its equation. Each has a slope (rise/run) that is the value of the x-coefficient in the equation.
Answer: Zero and Any real number
Step-by-step explanation:
Point Q could be represented by any real numbers. And zero if it's located at the origin. The same is applicable to value at point P. It's just that at P, the value can't be equal to Zero.