Answer:
Step-by-step explanation:
Multiply the equation by 4
5x - 2 + 2 = 2*(3y + 2)
5x +0 = 2*3y + 2*2
5x = 6y + 4
5x - 6y = 4 --------------------(I)
Multiply the equation by 6
2*(7y + 3) = 3x + 2*7
14y + 6 = 3x + 14
14y = 3x + 14 - 6
14y = 3x + 8
-3x + 14y = 8 ------------------------(II)
Multiply equation (I) by 3 and equation (II) by 5 and then add
(I)*3 15x - 18y = 12
(II)*5 <u>-15x + 70y = 40</u> {Now add}
52y = 52
y = 52/52
y = 1
Substitute y =1 in equation (I)
5x - 6*1 = 4
5x - 6 = 4
5x = 4 +6
5x = 10
x = 10/5
x = 2
One-sixth of an hour is 10 minute
10 minutes 3/4 chapter
Therefore, 10 minutes x 6= 3/4x6
Shawn can read 4.5 chapters in one hour
Area of the front and back faces = 2 [ (8.1 x 8.1) + (1/2 x 8.1 x 2.1 ] = 148.23 in²
Area of the right and left faces = 2 [ 11.8 x 8.1 ] = 191.16 in²
Area of the top = 2 [4.6 x 11.8] = 108.56 in²
Total Area = 148.23 in² + 191.16 in² + 108.56 in² = 447.95 in²
Answer: Theo will need to paint about 447.95 in².
Answer:
y= -3x +6
Step-by-step explanation:
<u>slope-intercept form</u><u>:</u>
y=mx +c, where m is the slope and c is the y-intercept.
Given that the slope is -3, m= -3.
Susbt. m= -3 into the equation:
y= -3x +c
Since the line passes the point (4, -6),
(4, -6) lies on the line and must therefore satisfy the equation. Thus, susbt. (4, -6) into the equation to find the value of c.
y= -3x +c
when x=4, y= -6,
-6= -3(4) +c
-6= -12 +c
c= 12 -6
c= 6
Hence, the equation of the line is y= -3x +6.
