Mathematics, 01.08.2019 20:00, jmackenzie7

Rewrite each product below using the distributive property then simplify

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This is what the distributive property looks like: a(b + c) = ab + ac (you multiply the outside number by each number on the inside of the parentheses)an example using numbers: 3(27 + 18) = 81 + 54 (3 * 27 = 81 and 3 * 18 = 54)that is how you apply the distributive property. now all that's left is to simplify. using the same example: 81 + 54 = 135 (pretty simply, you just add the numbers)it may seem trickier when there are variables involved, but it's really the same process, you just may have to use properties of equality to isolate the variable: 5(10x + 65) = x(30 + 15)50x + 325 = 30x + 15x (apply the distributive property)50x + 325 = 45x (combine like terms)50x = 45x - 325 (subtract 325 from both sides)5x = - 325 (subtract 45x from both sides)x = -65 (divide both sides by 5)i hope this .

answered: Guest

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

answered: Guest

answer: the resulting cross section is a rectangle. solution: a plane parallel to the base of a triangular prism will intersect a cross section that is the same shape as its bases. so the cross section is a triangle.

step-by-step explanation:

Aslice is made perpendicular to the base of a right rectangular pyramid through the vertex. what is

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Rewrite each product below using the distributive property then simplify...