Answer:
No real solutions
Step-by-step explanation:
Use the discriminant formula, D = b² - 4ac
D = b² - 4ac
Plug in b, a, and c:
D = b² - 4ac
D = (8)² - 4(1)(20)
D = 64 - 80
D = -16
Since the discriminant is negative, there are no real solutions
Answer:
1. slanting upward because the slope is positive one.
2. A: 3/4 B: 4/-3
3. A: 3 B: y=3x-10
1. (-2-7)/(-4-5) = -9/-9 = 1
2. A: (7-4)/(7-3) = 3/4
B: (8-0)/(-6-0) = 8/-6 = 4/-3
3. find the slope first so (4-1)/(2-1)= 3/1. then you plug in point C to find the y intercept so y=mx+b would be 2=3(4)+b which makes it so b is -10. the new equation would be y=3x-10
Step-by-step explanation:
Answer:
Step-by-step explanation:
Statements Reasons
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1. ∠V ≅ ∠Y Given
2. WZ bisects ∠VWY Given
3. ∠VWZ ≅ ∠YWZ Definition of Angle Bisector (2)
4. WZ ≅ WZ Reflexive Property
5. ΔVWZ ≅ ΔYWZ AAS Theorem (1,3,4)
**In case you didn't know the definitions**
Angle Bisector - A line, segment or ray that divides an angle into two congruent angles
Reflexive Property - X = X
AAS Postulate - If two angles and a non-included side of one triangle are congruent to the corresponding parts of another triangle, then the triangle's are congruent
Answer:
Area of circle = 465.82 cm²
Step-by-step explanation:
Given the following data;
Circumference of the hub cap = 76.49 cm
Pie, π = 3.14
To find the area of the hub cap;
First of all, we would determine the radius of the hub cap.
Mathematically, circumfeence of a circle is equal to;
C = 2πr
Where:
C is the circumference of a circle.
r is the radius of a circle.
C = 2πr
76.49 = 2 * 3.14 * r
76.49 = 6.28r
Radius, r = 76.49/6.28
Radius, r = 12.18 cm
Next, we find the area of the hub cap;
Area of circle = πr²
Area of circle = 3.14 * 12.18²
Area of circle = 3.14 * 148.35
Area of circle = 465.82 cm²
However, if the circumference of the hub cap were smaller, the area of the hub cap would also be smaller. Thus, the circumference of a hub cap is directly proportional to the area of a hub cap.
We will be using the binomial probability formula to solve the problem
The formula is given by ⁿCₓ (p)ˣ (1-p)ⁿ⁻ˣ
Where:
n = the number of trials = 100
x = the number of samples we are trying on = 3
p = the probability of success = 2% = 0.02
We can either calculate ⁿCₓ by using the scientific calculator using the

button or by doing it manually use

P(3) = ¹⁰⁰C₃ (0.02)³ (1 - 0.02)¹⁰⁰⁻³
P(3) = ¹⁰⁰C₃ (0.02)³ (0.98)⁹⁸
P(3) = 0.182 (rounded to three decimal places)
Correct answer: option 3