Answer:
6. 3x^3-7x^2+4x-1
7. -6x^4-2x^2+6x+10
8. 42x^4
Step-by-step explanation:
Distance between A and B
= Distance between C and D
= sqrt((4 - 1)^2 + (5 - 2)^2)
= sqrt(3^2 + 3^2)
= sqrt(2 * 3^2)
= sqrt(3^2) * sqrt(2)
= 3sqrt(2)
Distance between B and C
= Distance between A and D
= sqrt((4 - 3)^2 + (5 - 0)^2)
= sqrt(1^2 + 5^2)
= sqrt(26)
Since sqrt(26) is more than 3sqrt(2), the length must be sqrt(26).
Hope this helps you.
Answer:
91.14 feet
Step-by-step explanation:
Given:
In a park,a sidewalk is built around the edge of a circular pond.
The sidewalk is 7 feet wide, and the pond measure 15 feet across.
Question asked:
What amount of railing would be needed to go completely around the outer edge of the sidewalk?
Solution:
From distance from one edge of the pond to the another = 15 feet
That means diameter of the pond = 15 feet
And width of the sidewalk = 7 feet all around
combined diameter = 15 + 7 + 7 = 29 feet
Radius,r = 
That means distance between outer edge of the sidewalk to the center of the circular pond = 14.5 feet
Now, we will have to find circumference of outer circular edge of sidewalk:


Therefore, 91.14 feet would be needed to go around the outer edge of the sidewalk.
We need to simplify the expression:

Now, we know that we can resolve the exponents of the variables with the like terms only and we can multiply the coefficients independently:
Now,

On simplifying the above expression we get:




So the simplified form of the expression
.
6x
Step-by-step explanation:
1.2(4x-1)=8x-2=6x