Answer:
y = -5x + 19
Step-by-step explanation:
Note that the equation of any line parallel to y= -5x+7 has the same form as y= -5x+7, but a different constant. Knowing that this new line passes thru (2,9), we determine the value of this constant as follows: 9 = -5(2) + C, or 9 = -10 + C. Then C = 19, and the equation of this new line is
y = -5x + 19
Answer:
x=−4 or x=9
Step-by-step explanation:
1- As we know the formula for Area of rectangle = length x width
2- Multiply given width = (x+1) with length = (x-6)
3-Equation will be (x+1)(x-6) = 30
4- Solving x^2−5 x−6 = 30
5- x^2−5 x -36 = 0
6-Factor left side of equation.
(x+4)(x−9)=0
Set factors equal to 0.
x+4=0 or x−9=0
If you know how to set up the format for long division, the answer is 9.5 because 4 goes into 3 zero times, and you don't necessarily need to write down the zero on top since it equals nothing in a whole number. then, 4 goes into 38 nine times. (yes 38 because you didn't do anything with the 3 so you just make it 38) 4 × 9 = 36. it doesn't exactly make 38, so you take away 36 from 38 and you are left with a remainder of 2. then to get no remainder, add a zero to the end of 38. so it would look something like 4/380 so you take down the zero next to the 2 so it makes 20, 4 × 5 = 20 and you are left with a remainder of 0 and the answer: 9.5 ( P.S.: added the decimal because it wasn't exactly equal when doing 4 × 9 so we had to add a zero)
