Answer:
1st: 3*root6 + 5
2nd: 35*root2 + 115
3rd: 24*root2 - 20*root6 + 15*root3 - 18
4th: 17*root6 - 38
5th: 13*root10 - 42
Step-by-step explanation:
To simplify these expressions we need to use the distributive property:
(a + b) * (c + d) = ac + ad + bc + bd
So simplifying each expression, we have:
1st.
(2 root 2 + root 3 ) ( 2 root 3 - root 2)
= 4*root6 - 2*2 + 2*3 - root6
= 3*root6 - 4 + 9
= 3*root6 + 5
2nd.
(root 5 + 2 root 10) (3 root 5 + root 10)
= 3 * 5 + root50 + 6*root50 + 2*10
= 15 + 5*root2 + 30*root2 + 100
= 35*root2 + 115
3rd.
(4 root 6 - 3 root 3) (2 root 3 - 5)
= 8*root18 - 20*root6 - 6*3 + 15root3
= 24*root2 - 20*root6 + 15*root3 - 18
4rd.
(6 root 3 - 5 root 2 ) (2 root 2 - root 3)
= 12*root6 - 6*3 - 10*2 + 5*root6
= 17*root6 - 18 - 20
= 17*root6 - 38
5th.
(root 10 - 3 ) ( 4 - 3 root 10)
= 4*root10 - 3*10 - 12 + 9*root10
= 13*root10 - 30 - 12
= 13*root10 - 42
The answer is 36 units squared
-A terminating decimal is a decimal that NEVER ends
1/15 = 0.666666666.....
Therefore, 1/15 is a terminating decimal.
Answer:
y = 2x - 2
Step-by-step explanation:
y= mx+b
m= slope
b= y-intercept (point on line where x= 0.... or the point where the line hits the y-axis)
Determine slope by using slope formula or by counting boxes
By counting boxes, you can see that each point is 2 units up, 1 unit right (2/1)
the slope is 2
the point where the line is touching the y-axis is (0, -2)
m = slope = 2
b = y-intercept = -2
y = 2x + (-2) OR y = 2x -2
Answer:
11 quarters
Step-by-step explanation:
First, I subtract : 3.45 - .70 = 2.75
Then, divide : 2.75 by 25 ( a quarter ) = .11
Check : 11 x 25 = 2.75 -------------> 2.75 + .70 = 3.45
Hope this helps :)
