Hello,
x^3-12x²-2x+24=x²(x-12)-2(x-12)=(x-12)(x²-2)
Answer D
**y=x+2
when x=0,y=2; A(0,2)
when x=1,y=3; B(1,3)
**y=-x+8
when x=0,y=8; C(0,8)
when x=5,y=-3; D(5,-3)
The solution from the graph is S(2,4).
Answer:
27.3
Step-by-step explanation:
The base of the triangle is,
√(12²-5²)
= √119 = 10.9
The area of the triangle,
5×10.9/2
= 109/4 = 27.25 ≈ 27.3
Answered by GAUTHMATH
Answer:
- 15 - 7 (Parentheses)
- 3² (Exponents)
- 8 × 2 (Multiplication)
- 40 ÷ 8 (Division)
- 5 + 9 (Addition starting from the leftmost)
- 14 + 16 (Addition after the first addition operation)
Concept:
When encountering questions that ask for simplifying expressions through operation, following the PEMDAS method would be easier:
- <u>P</u>arentheses
- <u>E</u>xponents
- <u>M</u>ultiplication
- <u>D</u>ivision
- <u>A</u>ddition
- <u>S</u>ubtraction
Therefore, the whole process of simplifying the given expression should follow the PEMDAS method. <u>For extra</u>, whenever there are two occurences of the same operation, then prioritize the leftmost and go right.
Hope this helps!! :)
Please let me know if you have any questions or need further explanation
Answer:
The answer is 0.123.
Step-by-step explanation:
You want to find the intersection between P(Spade) and P(Red). Knowing that there's no replacement, the probability will be given by the formula:
⇒ P(Spade∩Red) = P(Spade)*P(Red/Spade)
⇒ P(Spade∩Red) = P(Red)*P(Spade/Red)
Either formula works, but I'm going to choose to work with the first formula.
Therefore:
P(Spade) =
P(Red/Spade) =
So:
P(Spade∩Red) = *= =