Well per book there are 4 spots it could be in. So the ratio of books per spots is 1:4, you multiply this by 4 because of four books and her 4:16, making the amount of ways to set them being 16.
Hello!
The discriminant of a quadratic function is found by using this formula:
D = b² - 4ac
Once you substitute the values into the formula, there are three ways your answer can be interpreted.
1. If the discriminant is positive, then there are two rational solutions.
2. If the discriminant is negative, then there are no rational solutions.
3. If the discriminant is equal to zero, then there is only one rational solution.
Given the equation, 2x² + 14x + 11 = 0, a = 2, b = 14, and c = 11.
14² - 4(2)(11)
196 - 88 = 108
Since the discriminant, 108, is a positive integer, the answer is C, there are two rational solutions.
Answer:
r₁ = 3.583cm
V₁= 192.55cm³
r₂= 5.176cm
V₂ = 580.283cm³
r₃ = 5.255cm
V₃ = 607.479cm³
Step-by-step explanation:
assuming circumferences of each balloons are given as follows C₁ = 22.5cm, C₂ = 32.5cm and C₃ = 33cm
Recall C = 2πr
volume of a sphere is 4/3πr³
Answer:
10
Step-by-step explanation:
10 is the least of the numbers, it is the lowest
10<14,16,20,29
Answer:
∠ABD ≅ ∠CBD
Step-by-step explanation:
<u>Given: </u>line segment AB ≅ line segment BC
<u>Prove:</u> The base angles of an isosceles triangle are congruent.
Statement Reason
1. Segment BD is an angle bisector of ∠ABC - By construction
2. ∠ABD ≅ ∠CBD - Definition of an Angle Bisector
3. Segment BD ≅ segment BD - Reflexive Property
4. ΔABD ≅ ΔCBD - Side-Angle-Side (SAS) Postulate
5. ∠BAC ≅ ∠BCA - CPCTC