9514 1404 393
Answer:
Step-by-step explanation:
The slope of a line is the tangent of the angle it makes with the x-axis. The given line has a slope of -1/3, so the lines we want will have slopes of ...
m1 = tan(arctan(-1/3) +45°) = 0.5 . . . . . using a calculator
m2 = tan(arctan(-1/3) -45°) = -2
Of course, these two lines are perpendicular to each other, so their slopes will have a product of -1: (0.5)(-2) = -1.
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We can use the point-slope form of the equation for a line to write the desired equations:
y = m(x -h) +k . . . . . line with slope m through point (h, k)
<u>Line 1</u>:
y = 1/2(x -2) +3
y = 1/2x +2
<u>Line 2</u>:
y = -2(x -2) +3
y = -2x +7
<span>So, what you want is the biggest square that can evenly tile a space 240*300. The biggest possible number that can divide 240 and 300. Does that ring any bells? Maybe you should divide 240 and 300</span>
Answer:
9sqrt(3) in.
Step-by-step explanation:
The ratio of the lengths of the sides of a 30-60-90 triangle is:
short leg : long leg : hypotenuse
1 : sqrt(3) : 2
If the short leg measures 1, then the hypotenuse measures 2.
The length of the hypotenuse is twice the length of the short leg.
The length of the long leg is sqrt(3) times the length of the short leg.
If the hypotenuse measures 18 in., then the short leg measures 9 in.
Then the long leg measures 9sqrt(3) in.
Answer:
It is known that 1 pint equals 16 ounces
Step-by-step explanation:
It is known that 1 pint equals 16 ounces. Then we use this data to transform a number of ounces into pints.
Suppose we have x ounces. We want to know how many pints are these x ounces. Then we perform the following operation
Where z pints is the amount equivalent to x ounces
Answer:
HEY
Step-by-step explanation:
