1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.
Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.
2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.
3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
Answer:
Step-by-step explanation:
Represent:
- The opposite with a
- The adjacent with b
- The hypotenuse with c
Given that:
Required
Solve for a, b and c
So, we have:
Subtract 1 from both sides
Apply Pythagoras Theorem
Substitute 3 + 3b for a and 4 + 3b for c
Open brackets
Collect Like Terms
Expand
Factorize:
Split:
But the adjacent of a triangle can't have a negative measurement.
So:
Recall that:
Substitute 7 for b in the above expressions
Hence, the dimensions of the triangle are:
<span>how many feet= 1mile
how many minutes = 1hr
5280ft=1mile
60mins=1hr
5280ft x 45mi = 237600
divide by 60
3960 ft per minute</span>
9514 1404 393
Answer:
8.6 km
Step-by-step explanation:
The circumference of a circle is given in terms of its radius as ...
C = 2πr
Then the radius can be found from the circumference using ...
r = C/(2π)
Filling in the given values, we find the radius to be ...
r = (54 km)/(2·2.14) = (54 km)/6.28 ≈ 8.59873 km
The radius is about 8.6 km.
B=1/4
Ninringrinrinveoj cknnfevk;Kent vie;Devi
