The equation of the line is y = -x + 6 if the passes through the point (4, 2).
<h3>What is a straight line?</h3>
A straight line is a combination of endless points joined on both sides of the point.
The slope 'm' of any straight line is given by:
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
It is given that:
From the graph:
The slope of the line g = (0-5)/(-5-0)
= 1
The slope perpendicular to the line g:
= -1
y - 2 = -(x - 4)
y - 2 = -x + 4
y = -x + 6
Thus, the equation of the line is y = -x + 6 if the passes through the point (4, 2).
Learn more about the straight line here:
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The estimate would be 430000
Answer:
revolutions per minute for 16 inches is 946 / minute
revolutions per minute for 14 inches is 1081 / minute
Step-by-step explanation:
Given data
radius = 16 inch
speed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute
radius 2 = 14 inches
to find out
revolutions per minute
solution
first we calculate the circumference of the wheel i.e. 2×
×radius
circumference = 2××16
circumference = 32
we know that revolution is speed / circumference
revolution = 95040/32
revolution = 945.38 / minute
we have given radius 14 inches than revolution will be i.e.
revolution = speed / circumference
circumference = 2××14
circumference = 28
revolution = 95040/ 28
revolution = 1080.43 / minute
Answer: False
Step-by-step explanation: Absolute value means <em>distance from zero</em> on a number line. A common mistake is to assume that absolute value is always positive but that's not necessarily the case.
Take 0 for example.
It's 0 units away from zero on a number line which
means it has an absolute value of zero.
However, all other numbers besides zero will have
an absolute value that is positive.
Convert to a mixed number:
239/42
Divide 239 by 42:
4 | 2 | 2 | 3 | 9
42 goes into 239 at most 5 times:
| | | | 5
4 | 2 | 2 | 3 | 9
| - | 2 | 1 | 0
| | | 2 | 9
Read off the results. The quotient is the number at the top and the remainder is the number at the bottom:
| | | | 5 | (quotient)
4 | 2 | 2 | 3 | 9 |
| - | 2 | 1 | 0 |
| | | 2 | 9 | (remainder)
The quotient of 239/42 is 5 with remainder 29, so:
Answer: 5 29/42
