First you can apply the a²-b² = (a+b)(a-b) theorem, you'll get:
(p²)² - 9² = (p²+9)(p²-9), but that's not all, you can apply it again on the last factor:
(p²+9)(p²-3²) = (p²+9)(p+3)(p-3)
The first factor cannot be simplified like that, so that's the furthest factorization. So answer (3) is the right one.
Step-by-step explanation:
<u>Given:</u>
- Lemons - l and apples - a
- a = 35¢, l = 15¢
- Number of apples and lemons = 17
- Cost of lemons and apples = $3.95 = 395¢
<u>System as per question:</u>
- a + l = 17
- 35a + 15l = 395
Or
- a + l = 17
- 0.35a + 0.15l = 3.95
Answer: a: 543.2 b: 465.6
Step-by-step explanation:
a. find 30% of $776, which is 232.8. subtract 232.8 from 776.
b. find 40% of $776, which is 310.4. subtract 310.4 from 776
Answer:
Step-by-step explanation:
5y-7y=-2y=-2(3)=-6
The claim made by Kyle is not entirely true and unjustifiable because for the figures or solids to be similar, not only the corresponding sides should have the finite ratio but also the corresponding angles should be equal. Although, the claim depends on the type of quadrilateral.