Answer:
y = 1/3X - 6
Step-by-step explanation:
Answer:
Step-by-step explanation:
(7,2) , (0,0)
slope = (y2 - y1) / (x2 - x1) = (0 - 2) / (0 - 7) = -2/-7 = 2/7
y = mx + b
slope(m) = 2/7
(0,0)...x = 0 and y = 0
now sub
0 = 2/7(0) + b
0 = b
ur equation is : y = 2/7x + 0.....same as y = 2/7x <====
Y = mx + b
m is -1/3
plug in your given values for x and y to find b
1 = (-1/3)(0) + b
1 = 0 + b
b = 1
make equation
y= (-1/3)x + 1
<h3><u>Answer:</u></h3>
- <u>x </u><u>-</u><u> </u><u>8</u>
<h3><u>Solution</u><u>:</u></h3>
We are given a rectangle with one of its sides ( length ) equal to ( x - 7 ) Meters.
- Also we are given the area of the rectangle as x² - 15x + 56 square meters .
We have to find the expression for another side of the rectangle i.e it's width
We will use the formula of area of rectangle to find the expression :
- <u>A</u><u>rea </u><u>=</u><u> </u><u>length </u><u>×</u><u> </u><u>width</u>
Therefore,
ㅤㅤ➝ A = l × w
ㅤㅤ➝ x² - 15x + 56 = ( x - 7 ) × w
ㅤㅤ➝ x² - 8x -7x + 56 = ( x - 7 ) × w
ㅤㅤ➝ (x² - 8x )( - 7x + 56 ) = ( x-7 ) w
ㅤㅤ➝ x( x - 8 )-7( x - 8 ) = ( x - 7 )w
ㅤㅤ➝ ( x - 8 )( x - 7 ) = ( x - 7 )
ㅤㅤ➝ ( x - 8 )w = ( x - 8 )( x - 7 )
ㅤㅤ➝ w = ( x - 8 )( x - 7 ) / ( x - 7 )
ㅤㅤ➝ <u>w = ( x - 8 )</u>
