Answer:
Step-by-step explanation:
When using the substitution method we use the fact that if two expressions y and x are of equal value x=y, then x may replace y or vice versa in another expression without changing the value of the expression.
Solve the systems of equations using the substitution method
{y=2x+4
{y=3x+2
We substitute the y in the top equation with the expression for the second equation:
2x+4 = 3x+2
4−2 = 3x−2
2=== = x
To determine the y-value, we may proceed by inserting our x-value in any of the equations. We select the first equation:
y= 2x + 4
We plug in x=2 and get
y= 2⋅2+4 = 8
The elimination method requires us to add or subtract the equations in order to eliminate either x or y, often one may not proceed with the addition directly without first multiplying either the first or second equation by some value.
Example:
2x−2y = 8
x+y = 1
We now wish to add the two equations but it will not result in either x or y being eliminated. Therefore we must multiply the second equation by 2 on both sides and get:
2x−2y = 8
2x+2y = 2
Now we attempt to add our system of equations. We commence with the x-terms on the left, and the y-terms thereafter and finally with the numbers on the right side:
(2x+2x) + (−2y+2y) = 8+2
The y-terms have now been eliminated and we now have an equation with only one variable:
4x = 10
x= 10/4 =2.5
Thereafter, in order to determine the y-value we insert x=2.5 in one of the equations. We select the first:
2⋅2.5−2y = 8
5−8 = 2y
−3 =2y
−3/2 =y
y =-1.5
Answer:
- 
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 )
y = 5x - 2 ← is in slope- intercept form
with slope m = 5
Given a line with slope m then the slope of a line perpendicular to it is
= -
= - 
Answer:
10
Step-by-step explanation:
I am pretty sure this is the answer because, the two sides added have to be greater than the longest side.
Answer:
50.77
Step-by-step explanation:
Answer:
The ratio is
.
Step-by-step explanation:
The ratio of the perimeters of Quad ABCD to Quad WXYZ = 
But considering sides AB and WX,
representative factor for both figures = 
So that;
WX = 12
XY = 1.5 x 6 = 9
YZ = 1.5 x 7 = 10.5
WZ = 1.5 x 7 = 10.5
Thus,
perimeter of Quad ABCD = 6 + 7 + 7 + 8
= 28
perimeter of Quad WXYZ = 9 + 10.5 + 10.5 + 12
= 42
The ratio of the perimeters of Quad ABCD to Quad WXYZ = 
= 