So solve for the equations of the lines
y=mx+b
m=slope
b=y intercept
line 1=
(-4,5)
(0,2)
(x,y)
slope=(y1-y2)/(x1-x2)
x1=-4
y1=5
x2=0
y2=2
subsitute
(5-2)/(-4-0)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
subsitute one of the points
(0,2)
x=0 and y=2 is one solution
2=-3/4(0)+b
2=0+b
2=b
the equation is y=-3/4x+2
other line
(0,5)
(4,2)
x1=0
y1=5
x2=4
y2=2
sybsitute
(5-2)/(0-4)=3/-4=-3/4
slope=-3/4
subsitute
y=-3/4x+b
now subsitute one of the points to solve for b
(0,5)
x=0 and y=5 is one solution
5=-3/4(0)+b
5=0+b
5=b
y=-3/4x+5
so we have the lines/equations
y=-3/4x+2 and y=-3/4x+5
(at this point we can see that since slopes are the same and the y intercepts are different, they are paralell and therefor have 0 solutions, but for those who don't know paralellline thingie read on)
solve for common (x,y)
y=-3/4x+2
y=-3/4x+5
subsitute
-3/4x+2=y=-3/4x+5
-3/4x+2=-3/4x+5
subtract 2 from both sides
-3/4x=-3/4x+5
add 3/4x to both sides
0=5
fasle
there are no solutions
the answer is A: 0 solutions
Answer:
20 red pens
4 blue pens
Step-by-step explanation:
red to blue
| |
\/ \/
5 : 1
5+1=6
24/6=4
4 x 5=20
4 x 1=4
Answer:
Bart lives 9 1/6 miles from Quickie Mart.
Step-by-step explanation:
So, 2.5 is equal to 2 1/2.
So first turn each mixed number into a improper fraction.
3 2/3 becomes 11/3 and 2 1/2 becomes 5/2.
11/3 * 5/2 = 55/6
55/6 is simplified to become 9 1/6
Answer:
Since The graph of linear equation 3x + 2y = 16 cuts y-axis
So
x = 0
The required point is (0,8)
Step-by-step explanation:
27.768
Multiply 890 and 312
This equals 277680
We know that there were 4 numbers behind a decimal point
Therefore the last four numbers of 277680 need to be behind a decimal point as well
So you're answer is 27.7680 or 27.768
