<span>1. Make y the subject
a) 4y=12x+18
y = 3x + 4.5
b) 2x=7-3y
3y = -2x + 7
y = -2/3x + 7/3
2.
a) what is the equation of the line which passes through both (-2,-4) and (6,16)
slope = (16 + 4)/(6 +2) = 20/8 = 2.5
y = mx + b
-4 =2.5(-2) +b
-4 = -5 +b
b = 1
equation
y = 2.5x + 1
b) what is the equation of the line perpendicular to y= 1/2X + 7 passing through point (3,9)
</span>y= 1/2X + 7
slope = 1/2
slope of line perpendicular = -2
passing through point (3,9)
y = mx + b
9 = -2 (3) + b
b = 15
equation
y = -2x + 15
Answer:
h=3
Step-by-step explanation:
h/10 -6 =24
+6 to each side
h/10=30
divide each side by 10
h=3
Answer:
d = 70t
Step-by-step explanation:
The units of speed tell you how to write the equation.
speed = miles/hour
Multiplying by hours gives ...
speed · hours = miles
Using the required variables and the given speed, you have ...
70t = d . . . . . time in hours, distance in miles
The sentence in numerical form is 5x/7≤10
to solve, multiply by 7
5x≤70
lastly, divide by 5
x≤14
7x +2y =-17 ..... Finally, answer
2x + 3y = -5
+
5x -y = -12
---------------------------
7x +2y = -17
