4(a ⋅ b) = (4 ⋅ a)b is an example of which algebraic property?

Associative property

Step-by-step explanation:

Given: 4(a ⋅ b) = (4 ⋅ a)b

Here we are multiply 3 number 4, a and b.

Associative property: It is algebra property to multiply or add three or more numbers.

So, first we have to associate two number and then multiply.

For Left side, we associate a and b.

⇒ 4(a ⋅ b)

For right side, we associate 4 and a

⇒ (4 ⋅ a)b

Here, we used associate property of algebra for multiply.

-3

step-by-step explanation:

a drawing really does here:

so i draw the horizontal line y=2 and the vertical line x=-2 at this intersection i put b (this is where my right angle is going to be).   so point b is at (-2,2).   point a is 5 units long and is also on y=2 so this point has to be (3,2) or (-7,2) -doesn't matter i will go with (3,2).

now we know c is at (-2,y) we don't know the y yet bet we know that c is on x=-2.

we have the area of the triangle is .5bh=12.5

we know the base length is 5 (ab)

we have the height is (2-y) if you look at your

plug in

.5(5)(2-y)=12.5

solve for y to get the y-coordinate for c

2.5(2-y)=12.5

divide both sides by 2.5 giving:

2-y=5

now subtract 2 on both sides

-y=3

y=-3

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,