Let Bi = x ∈ R | 0 ≤ x ≤ i for each integer i = 1, 2, 3, 4. (a) Find B1 ∪ B2 ∪ B3 ∪ B4. (Enter your answer using interval notation.) (b) Find B1 ∩ B2 ∩ B3 ∩ B4. (Enter your answer using interval notation.) (c) Are B1, B2, B3, and B4 mutually disjoint? Why or why not? Yes, because no two of the sets B1, B2, B3, B4 have any elements in common. Yes, because the intersection of the sets B1, B2, B3, B4 is empty. Yes, because the union of the sets B1, B2, B3, B4 is empty. No, because the sets B1, B2, B3, B4 are disjoint. No, because no two of the sets B1, B2, B3, B4 are disjoint.

let's solve your equation step-by-step.

4x+2=2x+12

step 1: subtract 2x from both sides.

4x+2−2x=2x+12−2x

2x+2=12

step 2: subtract 2 from both sides.

2x+2−2=12−2

2x=10

step 3: divide both sides by 2.

2x

2

=

10

2

x=5

step-by-step explanation:

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

the domain of a function is the set of input values, x , for which a function is defined. the domain is shown in the left oval in the picture below. the function provides an output value, f(x) , for each member of the domain.