The area of a rectangular garden is given by the trinomial x2 + x – 42. What are the possible dimensions of the rectangle? Use factoring.

Step-by-step explanation:

Hello, please consider the following.

So, the possible dimensions of the rectangle are (x+7) and (x-6).

Thank you.

Step-by-step explanation:

Here, we have to find two numbers which subtracts to 1 and multiplies to 42

⇒

⇒

Factor out x from the expression

⇒

Factor out 6 from the expression

⇒

Factor out x + 7 from the expression

⇒

So, the possible dimensions of the rectangle are x + 7 and x - 6 .

Hope I helped!

Best regards!

25.2

step-by-step explanation:

2+4x6-8/10= 25.2

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