The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
How are parallel straight lines related?
Parallel lines have the same slope since the slope is like a measure of steepness and since parallel lines are of the same steepness, thus, are of the same slope.
We have been given a parallel line with has equation
3x-2y=7
In order to solve this, the slope of the original line.
3x - 2y = 7
-2y = -3x + 7
y = 3/2x - 7/2
thus its slope is 3/2.
thus, the slope of the needed line is 3/2 too.
we know that any line that is parallel to that would have this slope.
So anything is written in the form:
y = 3/2x + b
The equation of the line that is parallel to the line whose equation is 3x-2y=7 would be y = 3/2x + b, in which b can be any real number.
Learn more about parallel lines here:
brainly.com/question/13857011
#SPJ4
Answer:
<h2>9 square units</h2>
Step-by-step explanation:
You can use the Pick's formula:
Where
- the number of lattice points inside the polygon
- number of lattice points on the border located on the perimeter of the polygon
From the picture we have:
Substitute:
In this We need one more side congruent because one is common i.e FG. It is the line which is Dividing it into two triangles. The property used here is SAS or Side-angle-side Property.
Answer:
The following lines is perpendicular, y=-x+6 and y=x+1
Step-by-step explanation:
- Slope of parallel lines are equal
(ex. slope of 2 stays 2 )
- Slope of perpendicular lines to another is the negative reciprocal
(ex. slope of 2 becomes -1/2)
y = -x + 6 and y = x + 1
the slope for y = -x + 6 is <em>-1 (-1/1)</em>
the slope for y = x + 1 is <em>1</em>
the slope -1 is the negative reciprocal of 1
hence, the definition of perpendicular fits the given
Learn more about Perpendicular and Parallel Lines here: brainly.com/question/1202004
Answer:
There are 9 quarters and 3 nickels
Step-by-step explanation:
problems used: 0.5x+0.25y=3.09
x=y+6
so substitute what x is equal to into the problem
0.5(y+6)+0.25y=3.09 <--------- distribute
0.5y+3+0.25y=3.09 <--------- Combine like terms
0.3y+3=3.09 <----------- Subtract 3 on both sided to get y by itself
0.3y=0.9 <------------ Divide by 0.3 on both sides to get what y is equal to
y=3 <-------- now substitute to find what x is equal to
x=3+6
x=9
