Factors are (3x + 5) and (x - 2). Zeros are -5/3 and 2.
Step-by-step explanation:
- Step 1: Given quadratic equation 3x² - x = 10 ⇒ 3x² - x - 10 = 0
- Step 2: Use factoring method (product and sum rule) to find factors and zeros. So the equation can be written as below.
⇒ 3x² - 6x + 5x - 10 = 0
⇒ 3x(x - 2) + 5(x - 2) = 0
⇒ (3x + 5)(x - 2) = 0 These are the factors of the equation.
- Step 3: Find zeros by equating the factors to 0.
⇒ 3x + 5 = 0 and x - 2 = 0
⇒ x = -5/3 and 2
Answer: 11.5 ft
Step-by-step explanation:
The length of the shadow of the building = length of the shadow - distance of the building
= 52 - 32
= 20
Let the height the shadow strike the side of the building be h
then by similar shape rule
h / 20 = 30 / 52
52h = 30 x 20
52h = 600
h = 600/52
h = 11.53846154
h ≈ 11.5
Answer:
y= (x-6) be sure to include the parenthesis or it will be incorrect
Step-by-step explanation:
Answer:
Points apply to the given situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Step-by-step explanation:
We have given,
A puppy is running at a rate = 4 feet per second
A wall is 20 feet away from puppy. That means initially puppy is 20 feet away from the wall.
So, time taken by puppy to reach the wall =
i.e. time take by puppy to reach the wall = = 5 seconds
Now we write the points that apply to this situation:
(a)The puppy will run into the wall after 5 seconds
(b)The slope is -4 ft per second since the puppy is running at a rate of 4 ft per second. {Since the puppy is moving towards the wall that means horizontal distance is decreasing at a rate of -4 feet per second}
(c)The y-intercept is 20 ft because the puppy is 20 feet away from the wall.
Find the area of the circle:
Area = 3.14 x 12^2 = 3.24x144 = 452.16 cm^2
The sector is 60 degrees.
Multiply the area of the circle by the fraction of the sector:
452.16 x 60/360 = 75.36 cm^2
