Brian should purchase Choice C of fabric
<em><u>Solution:</u></em>
Given that Brian wants to purchase a piece of fabric that is between 49 and 53 inches long
So piece of fabric should be between: 49 and 53 inches
- Choice A is
feet long
Let us convert feet to inches

Now convert to inches
We know that,
1 feet = 12 inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice B is
feet long

Now convert to inches

But this choice is greater than given condition that piece of fabric should be between: 49 and 53 inches
So this is not correct
- Choice C is
feet long

Now convert to inches

So this 52 inches lies between 49 and 53 inches
So Brian should purchase Choice C of fabric
Answer:
y = 1/2 x - 4
Step-by-step explanation:
slope of perpendicular line is 1/2
y +3 = 1/2 (x -2)
y + 3 = 1/2x - 1
y = 1/2x - 4
-4/5 and -1/2
Taking the LCM of the 2 fractions we get the common denominator 10
-8/10 and - 5/10
Now we can see the second fraction (-5/10) is bigger
Thus the friend is wrong
<u>Given </u><u>:</u><u>-</u>
- A line having a slope of 3/2 passes through (2,1) .
<u>To </u><u>Find</u><u> </u><u>:</u><u>-</u>
- The equation of the line .
<u>Answer </u><u>:</u><u>-</u>
According to the question ,
We know <u>Point</u><u> slope</u><u> form</u><u> </u> of the line as ,
Substitute ,
- y - 1 = 3/2 ( x - 2 )
- y - 1 = 3/2x - 3/2*2
- y - 1 = 3/2x - 3
- 2( y -1) = 3/2x *2 - 3*2
- 2y - 2 = 3x - 6
- 3x - 2y -4 = 0
<u>Hence</u><u> the</u><u> </u><u>equation</u><u> of</u><u> the</u><u> line</u><u> is</u><u> </u><u>3</u><u>x</u><u> </u><u>-2y</u><u>-</u><u>4</u><u>=</u><u>0</u><u> </u><u>.</u>