Steps To Solve:
x² + 6 = 10
~Subtract 6 to both sides
x² + 6 - 6 = 10 - 6
~Simplify
x² = 4
~Take square root of 4
x² = ±√4
~Simplify
x = -2 or x = 2
Best of Luck!
Put it in the form
ax^2 + bx + c = 0
use the quadratic formula
x = [ -b + sqrt( b^2 - 4 ac ) ] / 2a
x = [ -b - sqrt( b^2 - 4 ac ) ] / 2a
7v^2 - 7v - 22 = 0
a = 7
b = -7
c = -22
v = [ 7 + sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = 2.34
v = [ 7 - sqrt ( 49 - 4 * 7 ( -22) ] / 2 * 7 = -1.34
Answer:
B. 4
Step-by-step explanation:
Determine the constant of variation for the direct variation given.
(0, 0), (3, 12), (9, 36)
A. 3
B. 4
C.12
Direct variation is given by:
y = kx
Where,
k = constant of variation
(3, 12)
x = 3; y = 12
y = kx
12 = k*3
12 = 3k
k = 12 / 3
k = 4
(9, 36)
x = 9; y = 36
y = kx
36 = k * 9
36 = 9k
k = 36 / 9
= 4
k = 4
Constant of the variation = 4
Answer:
0_10 =0_2
Step-by-step explanation:
Convert the following to base 2:
0_10
Hint: | Starting with zero, raise 2 to increasingly larger integer powers until the result exceeds 0.
Determine the powers of 2 that will be used as the places of the digits in the base-2 representation of 0:
Power | \!\(\*SuperscriptBox[\(Base\), \(Power\)]\) | Place value
0 | 2^0 | 1
Hint: | The powers of 2 (in ascending order) are associated with the places from right to left.
Label each place of the base-2 representation of 0 with the appropriate power of 2:
Place | | | 2^0 |
| | | ↓ |
0_10 | = | ( | __ | )_(_2)
Hint: | Divide 0 by 2 and find the remainder. The remainder is the first digit.
Determine the value of 0 in base 2:
0/2=0 with remainder 0
Place | | | 2^0 |
| | | ↓ |
0_10 | = | ( | 0 | )_(_2)
Hint: | Express 0_10 in base 2.
The number 0_10 is equivalent to 0_2 in base 2.
Answer: 0_10 =0_2
The scale factor is 4 and for the perimeter just use the distance formula
