Factor by regrouping:
40p^2 - 13p - 36
= 40p^2 - 13p -36
= (8p - 9)(5p + 4)
Regroup to: (8p - 9)(5p + 4)
Hope that helps!!!
Check the picture below
notice, that running a line from the center, you end up with an angle bisector to a vertex of the triangle, now, this is a "regular polygon", so, all sides are equal, for a triangle, when all sides are equal, all angles are also equal, and since the sum of all internal angles in a triangle must add up to 180°, then that means, each angle is 60°
now, you run an angle bisector through it, you end up with a 30°, 30° split, and that gives you a 30-60-90 triangle
The question is about the number we need to add both sides. It is 64
7:4 is the original ratio.
Apples to oranges
14:x
7*2 = 14
4*2 = 8
14:8
Answer: There are 8 oranges
Answer:
1/2 + 2/3 + 5/4 = 29/
12
= 2 5/ 12 ≅ 2.4166667
Step-by-step explanation:
Add: 1/
2 + 2/
3 = 1 · 3/
2 · 3 + 2 · 2/
3 · 2 = 3/
6 + 4/
6 = 3 + 4/
6 = 7/
6
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - one half plus two thirds = seven sixths.
Add: the result of step No. 1 + 5/
4 = 7/
6 + 5/
4 = 7 · 2/
6 · 2 + 5 · 3/
4 · 3 = 14/
12 + 15/
12 = 14 + 15/
12
= 29/
12
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.
In words - seven sixths plus five quarters = twenty-nine twelfths.
<em>hope it helps...</em>
<em>correct me if I'm wrong...</em>