(–2) + 6 + 1 = 1 + 6 + (–2) is B.Commutative Property
you first plug (substitute) in y
-3x - 3(-5x-17)=3
then distribute
-3x+15x+51=3
now combine like terms
12x+51=3
subtract to get 12x by itself
12x=3-51 or 12x=-48
lastly divide by 12 to find x
12x/12=-48/12
x=-4
now find y by plugging x into the other equation
y=-5(-4)-17
y=3
(-4,3)
Answer:
5:25 ; 1:5
Step-by-step explanation:
there's 5/25 at a table. replace the slash with a colon.
5:25. Then simplify, getting 1:5
Point t slope form:
y + y value = m (x + x value) where m is the gradient
Parallel line must have the same gradient as the two lines never meet, so the gradient must be 4. This eliminates option B and D.
Remember that point-slope form is still an equation, so the values of both sides must be equal. So let's substitute the given coordinates.
Option A:
y-6=4(x+2)
-6-6 (-12) does not equal to 4(-2+2) (0)
Option C:
y+6=4(-2+2)
-6+6 (0) = 4(-2+2) (0)
Therefore, option C is your answer.
Given:
To find:
The obtuse angle between the given pair of straight lines.
Solution:
The slope intercept form of a line is
...(i)
where, m is slope and b is y-intercept.
The given equations are
On comparing these equations with (i), we get
Angle between two lines whose slopes are 
is
Putting and , we get
Now,
and 
and 
and 
, so it is an obtuse angle and 
, so it is an acute angle.
Therefore, the obtuse angle between the given pair of straight lines is 120°.
