Simplify square root of five times square root of eight.

1. two square root of ten
2. four square root of ten
3. square root of forty
4. square root of thirteen

1. two square root of ten ( )

Step-by-step explanation:

we need to simplify the expression:

we can join both square roots in one:

and now we factor 40 as 4 by 10:

and because the number 4 has an exact square root which is 2, we take it out of the square root:

so the answer is

1. two square root of ten

(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

true

step-by-step explanation:

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