Answer:
47. 1 5/8
48. 1 1/12
Step-by-step explanation:
<em>47. </em>
<em>First, convert the denominators to be the same.</em>
8 1/2 minutes, Ruby's mile time, can be converted to 8 4/8.
<em>Then subtract.</em>
8 4/8 - 6 7/8 = 1 5/8
<em>48.</em>
<em>Make sure the denominators are the same. Both denominators can be multiplied by 3 or 4 to become 12.</em>
1 1/4 can be multiplied by 3 to get 1 3/12. And 1 1/3 can be multiplied by 4 to get 2 4/12.
<em>Then subtract.</em>
2 4/12 - 1 1/3 = 1 1/12
Parallel to 2x+y=-5
2x+y-2x=-5-2x
y=-2x-5
y=mx+b
Slope: m=-2
As the line is parallel must have the same slope:
m=-2
And it has an x-intercept of 2: when x=2, y=0→Point: P1=(2,0)=(x1,y1)
x1=2, y1=0
y-y1=m(x-x1)
y-0=(-2)(x-2)
y=-2x+4
In standard form:
y+2x=-2x+2x+4
2x+y=4
Answer: The equation of the line, in standard form, that passes through the origin and is parallel to x+y=6 is x+y=0
The dimensions of the pool are 67ft in length and 32 feet in width
Well if you're wanting to use substitution, you first have to end up with one term on either side of the equation. Use the second one as it's easiest.
So: x-2y=11, so find -2y as there is a -2y in the first equation.
then that becomes -2y=11-x. then sub that into equation 1, and you get:
-x+11-x=-13, which equals to -2x+11=-13, which is -2x=-24, so therefore
x=12. then chuck the x into any of the equations to find what y equals.
hope this helps!
We have two points:
The point slope form of the line:
Substitute
Answer:
