Answer:
see explanation
Step-by-step explanation:
Given a parabola in standard form
f(x) = ax² + bx + c ( a ≠ 0 )
Then the discriminant Δ = b² - 4ac informs us about the nature of the zeros
• If b² - 4ac > 0 then 2 real and irrational zeros
• If b² - 4ac > 0 and a perfect square then 2 real and rational zeros
• If b² - 4ac = 0 then 2 real and equal zeros
• b² - 4ac < 0 then zeros are not real
Given
f(x) = 3(x - 4)² - 12 ← expand factor using FOIL
= 3(x² - 8x + 16) - 12 ← distribute parenthesis by 3
= 3x² - 24x + 48 - 12
= 3x² - 24x + 36 ← in standard form
with a = 3, b = - 24 , c = 36 , then
b² - 4ac
= (- 24)² - (4 × 3 × 36
= 576 - 432
= 144 ← a perfect square
Then 2 zeros are real and rational and produce 2 x- intercepts
You can make 81 words from 3-letter arrangements out of the letters in trapezoid.
3-LETTER ARRANGEMENTS:
Ado, adz, aid, air, ait, ape, apo, apt, are, art, ate, azo, dap, dei, die, dip, dit, doe, dor, dot, ear, eat, era, eta, ire, oar, oat, oda, ode, ope, opt, ora, ore, ort, pad, par, pat, pea, ped, per, pet, pia, pie, pit, pod, poi, pot, pro, rad, rai, rap, rat, red, rei, rep, ret, rai, rid, rip, rod, roe, rot, tad, tae, tao, tap, tar, tea, ted, tie, tip, tod, toe, top, tor, zap, zed, zep, zip, zit, zoa
If 60% out of the 2,660 students are males, then
40% out of t<span>he same 2,660 students are females
Ten the number of females is 40% x 2660 = 0.4 x 2660 = 1,064 females</span>
Answer:
(x-10)^2 + (y-2)^2 = 49
Step-by-step explanation:
I'm assuming that 10-2 means (10,2)
Equation of circle:
(x-a)^2 + (y-b)^2 = r^2
Plugging in the values that we know:
(x-10)^2 + (y-2)^2 = 7^2
(x-10)^2 + (y-2)^2 = 49
Hope this helps!
