A model is 4.2 feet tall, the plywood used to make the model is 0.6 inch thick. How many sheets of plywood to make the model?
1 answer:
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Answer:
a. The slope of a line parallel to the given line is 1
b. A point on the line parallel to the given line, passing through (−4, 2), is (1,7)
c. The slope of the line perpendicular to the given line is -1
d. A point on the line perpendicular to the given line, passing through (−4, 2), is (3,-5)
Step-by-step explanation:
The equation of the line in Slope-intercept form is:
Where m is the slope and b is the y-intercept.
a. For the line
You can identify that:
By definition, two lines are parallel if they have the same slope. Then, the slope of a line parallel to the given line is:
b. The equation of the line in Point-slope form is:
Where m is the slope and () is a point of the line.
Given the point (-4,2), substitute this point and the slope of the line into the equation:
Give a value to "x", substitute it into this equation and solve for "y":
For :
Then, you get the point (1,7)
c. The slopes of perpendicular lines are negative reciprocals, then the slope of a line perpendicular to the given line is:
d. Given the point (-4,2), substitute this point and the slope of the line into the equation:
Give a value to "x", substitute it into this equation and solve for "y":
For :
Then, you get the point (3,-5)
The prime factorization of 240 is . 3 . 5 ⇒ last answer
Step-by-step explanation:
Prime number is the number that has only 2 factors 1 and itself
{2 , 3 , 5 , 7 , 11 , 13 , 17 , 19 , 23 , 29 , ............}
In prime factorization we use only the prime numbers
Ex: The factors of 15 are 1 , 3 , 5 , 15,
Then the prime factors of 15 are 3 and 5 only because they are
prime numbers
So to find the prime factors of a number do that
1. Factorize the number by divide it using prime numbers only
2. Write the number as a product of its prime factors
∵ 240 divisible by first prime number 2
∴ 240 ÷ 2 = 120
∵ 120 ÷ 2 = 60
∵ 60 ÷ 2 = 30
∵ 30 ÷ 2 = 15
- We divided the number by 2 for 4 times
∴ is a prime factor of 240
∵ 15 is divisible by prime number 3
∴ 15 ÷ 3 = 5
∴ 3 is a prime factor of 240
∵ 5 is divisible by prime number 5
∴ 5 ÷ 5 = 1
∴ 5 is a prime factor of 240
∴ The prime factors of 240 are , 3 , 5
The prime factorization of 240 is . 3 . 5
Learn more:
You can learn more about factors in brainly.com/question/5194236
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