(-5, 12). Cosecant is the reciprocal of sine. Since csc theta =13/12, sin theta=12/13. We can narrow down to two angles, one in first quadrant and one in second quadrant. We are also given sec theta=-13/5, so cos theta=-5/13. Thus the angle is in the second quadrant. tan theta=1/cot theta=-12/5, so point (-5, 12) is on the ray.
The trick here is to notice that all 3 terms can be div. by 2:
2(x^2 + x - 12)
Note that -12 factors into -3 * 4 or -4 * 3. Thus,
x^2 + x - 12 = (x-4)(x+3), and so <span>2x2 + 2x − 24 = 2(x-4)(x+3).</span>
Answer:
15
Step-by-step explanation:
let r represent red marbles then white = 2r + 5 and total is 20, thus
r + 2r + 5 = 20 ( subtract 5 from both sides )
3r = 15 ( divide both sides by 3 )
r = 5 ← number of red marbles
Thus number of white = 20 - 5 = 15
Answer:
<h2>$ 22200 in higher yielding bank and $ 44400 in lower yielding bank</h2>
Step-by-step explanation:
Jolene invests in two bank accounts. The first account gives a 4% interest per year and the second bank gives a 10% interest rate per year.
She puts twice as much in the lower yielding bank account. Let us denote the amount put in high yielding bank account by
. Lower yielding bank account will have
.

Interest from lower yielding bank = 
Interest from higher yielding bank = 
Total Interest per year = $ 3996 = 

∴ Jolene invested $ 22200 in higher yielding bank and $ 44400 in lower yielding bank.
Answer:
The correct option is G.Hope this help!!