Answer:
n=31.5
Step-by-step explanation:
The given question is:
Cross multiply to get:
Expand the parenthesis:
Group similar terms:
Combine the like terms
Divide both sides by 4
n=31.5
Answer:
11
Step-by-step explanation:
Trapezoid area = (base1 +base2) x h/2
=> Base2 =[Area x 2/h]-base1 = [98.8 x 2/7.6] - 15 = 26-15=11
Answer:
7 hours and 30 minutes
Step-by-step explanation:
The conic section that the above equation represents is a CIRCLE.
Use completing the square for y and put the equation in standard form:
<span>x</span>²<span>+ y</span>²<span> - 4y + [(-4)/2]</span>²<span> - 1 = 0 + [(-4)/2]</span>²
<span>x</span>²<span> + y</span>²<span> - 4y + (-2)</span>²<span> - 1 = 0 + (-2)</span>²
<span>x</span>²<span> + y</span>²<span> - 4y + 4 - 1 = 4 </span>
<span>x</span>²<span> + (y - 2)</span>²<span> - 1 = 4 </span>
<span>x</span>²<span> + (y - 2)</span>²<span> = 4 + 1
</span>x² + (y -2)² = 5
The radius of the circle is the square root of 5. Its center is found at (0,2)
Answer:
Option B.
{–9 + i√225 / 24, –9 – i√225 / 24}
Step-by-step explanation:
12a² + 9a + 7 = 0
Using formula method, the solutions to the equation can be obtained as follow:
Coefficient of a² (a) = 12
Coefficient of a (b) = 9
Constant (c) = 7
a = –b ±√(b² – 4ac) / 2a
a = –9 ±√(9² – 4 × 12 × 7) / 2 × 12
a = –9 ±√(81 – 336) / 24
a = –9 ±√(– 225) / 24
Recall
–225 = –1 × 225
Thus,
–9 ±√(– 225) / 24 = –9 ±√(–1 × 225)/24
Recall
√(–1 × 225) = √–1 × √225 = i√225
Thus,
–9 ±√(–1 × 225)/24 = –9 ± i√225/24
Therefore,
a = –9 ± i√225/24
a = –9 + i√225 / 24 or –9 – i√225 / 24
Therefore, the solutions to the equation are:
{–9 + i√225 / 24, –9 – i√225 / 24}