X² + 2x = 24
Organizing:
x² + 2x - 24 = 0
<<<< (<em>Quadratic </em><span><span><em>equation</em>)
</span>
</span><span>Delta:
</span>Δ = b²<span> - 4.a.c </span>
Δ = 2²<span> - 4 * 1 * -24 </span>
<span>Δ = 4 - 4 * 1 * -24 </span>
Δ = 100
<span>Bhaskara:
</span><span>x = (-b +- √Δ)/2*a
</span>
x' = (-2 + √100)/2*1
x' = 8 / 2
x' = 4
x'' = (-2 - √100)/2*1
x'' = -12 / 2
x'' = -6
Result: x = 4 or<span> x = - 6 .
</span>
Good studies! :)
Answer:
option A
Step-by-step explanation:
Notice that you need to emulate the series: 1 + 5 + 25 + 125 + 625 (a five total term series)
with the indicated sums.
The first term in the your series (addition) has to be "1". This fact already gets rid of two of the suggested sums (B, and D) because their first term is
.
So, now analyzing the options A and C, we notice that A has a sum from i=0 to 4 (which gives a total of five terms ao, a1, a2, a3, and a4, while option C has a total of six terms (from i = 0 to 5): a0, a1, a2, a3, a4, a5.
S, the obvious candidate is option A. So now evaluate the five terms corroborating that:

Therefore, option A is the answer
Answer:
D
Step-by-step explanation:
3 - 7 = -4 and 3(3) + 2(-7) = -5, so D is the only choice that is correct for both inequalities.
Answer:
Get the equation in the form y = ax2 + bx + c.
Calculate -b / 2a. This is the x-coordinate of the vertex.
To find the y-coordinate of the vertex, simply plug the value of -b / 2a into the equation for x and solve for y.
Step-by-step explanation:
You do 65+90=155
then 180-155=25 to get the angle next to w
w=155