1 answer:
Answer:
see explanation
Step-by-step explanation:
Assuming you require to factorise the expressions
16 - 12
+ 4y ← factor out 4y from each term
= 4y(4 - 3y³ + 1)
--------------------------------
64ax² - 49ay² ← factor out a from each term
= a(64x² - 49y²) ← this is a difference of squares and factors in general as
a² - b² = (a - b)(a + b) , then
64x² - 49y²
= (8x)² - (7y)²
= (8x - 7y)(8x + 7y)
then
64ax² - 49ay² = a(8x - 7y)(8x + 7y)
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Given that <span>∆abc is isosceles and ab = bc, then m<bac = m<acb and m<hbc = 180 - m<bac - m<acb
Given that </span><span>m∠hbc = m∠bac +m∠bch, then m<hbc + m<bch = m<bac + 2m<bch
But m<hbc + m<bch = 90°, thus 90° = m<bac + 2m<bch
</span><span>Also, m∠bac + m∠ach = 90° ⇒ m<bac + 2m<bch = m<bac + m<ach ⇒ 2m<bch = m<ach
Since, Δabc is isosceles with ab = bc ⇒ m<bac = m<acb.
Also, m<acb = m<ach + m<bch ⇒ m<acb = 3m<bch = m<bac
</span><span><span>Since m<bch : m<ach = 1 : 2 ⇒ bh : ah = 1 : 2
Thus,
Given that ch = 84 cm, then
Now,
</span> </span>
Given that </span><span>m∠hbc = m∠bac +m∠bch, then m<hbc + m<bch = m<bac + 2m<bch
But m<hbc + m<bch = 90°, thus 90° = m<bac + 2m<bch
</span><span>Also, m∠bac + m∠ach = 90° ⇒ m<bac + 2m<bch = m<bac + m<ach ⇒ 2m<bch = m<ach
Since, Δabc is isosceles with ab = bc ⇒ m<bac = m<acb.
Also, m<acb = m<ach + m<bch ⇒ m<acb = 3m<bch = m<bac
</span><span><span>Since m<bch : m<ach = 1 : 2 ⇒ bh : ah = 1 : 2
Thus,
Given that ch = 84 cm, then
Now,
</span> </span>
Percentage of 9th graders that said no is approx. 14%
Percentage of opposers that were 9th graders is approx 6%
Percentage of opposers that were 9th graders is approx 6%