What is the product of the 2 solutions of the
equation x^2 + 4x - 21 = 0?
72 +41 – 21 = 0?

-21.

Step-by-step explanation:

x^2 + 4x - 21 = 0

To factor this we need 2 numbers whose sum id + 4 and whose produce is -21.

These are  - 3 and + 7 , so the factors are:

(x - 3)(x + & = 0

x = 3, -7.

d) by the cross product property, ab^2 = bc multiplied by ad

step-by-step explanation:

we are given

in the given triangle abc

angle a is 90° and segment ad is perpendicular to segment bc

we can see that

triangle(abc) and triangle(abd) are similar because they have common side and same angle (90 degree)

so, triangles(abc) and abd are similar

since, they are similar

so, the ratio of their sides must be equal

we get

now, we can cross multiply

and we get

so, this could be step to prove it

answer: 204

step-by-step explanation:

we are told that the revenue is

x⋅(4080−10x)=−10x^2+4080x

this is a quadratic function, so to maximize it we should find the x-value of its vertex. recall that the x-value of the vertex of the parabola ax^2+bx+c is given by the formula −b/2a.

so in this case, we have a=−10 and b=4080, so the x-value of the vertex is

−b/2a= −(4080)/2(−10)=204