(x-3)(x-5)=35
Multiply the brackets together
x*x-5*x-3*x-3*5
x^2-8x+15=35
Move +35 to the other side. Sign changes from +35 to -35
x^2-8x+15-35=35-35
x^2-8x-20=0
(x-10)(x+2)=0
x-10=0 x+2=0
Move -10 to the other side. Sign changes from -10 to +10
x-10+10=0+10 x+2-2=0-2
x=10 x=-2
Answer: x=10
Answer: Initial height before launch
Step-by-step explanation:
Given
The equation 
the height of toy rocket after t sec
when the rocket is launched, time is 
Substituting 0 for 
in the equation
Here, 
represents that rocket is already at a height of m before the launch.
-x-y=-9
-3x-2y=-28
eliminate the x first
multiply the first system of equations by 3
(3)(-x)=-3x
(3)(-y)=-3y
(3)(-9)=-27
-3x-3y=-27
-3x-2y=-28
eliminate the systems of equations by subtracting
-3x--3x-3y--2y=-27--28
-3x+3x-3y+2y=-27+28
-y=1
multiply -1 for -y=-1 to get positive y
(-y)(-1)=(1)(-1)
y=-1
substitution method by using y=-1 into one of the system of equations
-x-y=-9
-x--1=-9
-x+1=-9
move +1 to the other side
sign changes from +1 to -1
-x+1-1=-9-1
-x=-10
multiply by -1 for -x=-10 to get positive x
(-x)(-1)=(-10)(-1)
x=10
answer:
x=10, y=-1
Answer:
Step-by-step explanation:
Given
The x and y values
Required
Determine the constant of proportionality
This is calculated from:
Pick any corresponding x and y values:
and 
Substitute 8 for x and 2 for y in
Make r the subject
Pick another x and y values:
and 
<em>Hence, the constant of proportionality is 1/4</em>
Answer:
NY or MZ
Step-by-step explanation:
they are both outside of the parallel lines and on opposite sides of the transverse line
