Answer:
see explanation
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange x - 2y = - 3 into this form
Subtract x from both sides
- 2y = - x - 3 ( divide all terms by - 2 )
y =
x +
← in slope- intercept form
with m = 
• Parallel lines have equal slopes, thus
y =
x + c ← is the partial equation
To find c substitute (- 1, 2) into the partial equation
2 = -
+ c ⇒ c = 2 +
= 
y =
x +
← in slope- intercept form
Multiply through by 2
2y = x + 5 ( subtract 2y from both sides )
0 = x - 2y + 5 ( subtract 5 from both sides )
- 5 = x - 2y, thus
x - 2y = - 5 ← in standard form
Answer:
X=7 and y=6
Step-by-step explanation:
Y=-2x + 20.......eq(i)
6x-5y=12.....eq(ii)
Now, putting y= - 2x +20 in eq (ii)
6x - 5(-2x + 20)=12
6x + 10x - 100 = 12
16x=12+100
X=112 /16
X=7
Then, putting x=7 in eq (i)
Y=-2*7 +20
=-14 +20
=6
(0,0) and (6,0)
First we subtract 18x from both sides
3x²-18x=0
Factor out a 3x
3x(x-6)=0
This means that x is either 0 or 6
Answer:
x=1/4
Step-by-step explanation:
Answer:
28 degrees
Step-by-step explanation:
A triangle is always equal to 180 degrees so add the degrees together
40+2x+3x=180
40+5x=180
5x/5=140/5
x=28