Answer:
6. If the x intercept is a then (a,0) is on the line. If y-intercept is b then (0,b) is on the line. Now you have two points of the line and can get its formula. The slope between thse points is m=(0−b)(a−0)=−b/a. So the equation of line is y=mx+b=−bx/a+b. Now rearrange as y+bx/a=b divide by b to get y/b+x/a=1
Sadly I can't get eight right now but once I do I will edit this.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
The attached table
Required
The relationship between both temperatures
<em>This implies that we calculate the table equation</em>
First, we calculate the slope (m)
Where:
So, we have:
The equation is then calculated using:
This gives:
Answer:
W=0.8333*t
2.917 ft³
Step-by-step explanation:
At time t=3, there is 2.5 ft³ of water in the tub
Finding the relation will be;
3=2.5
1=?
Rate=0.8333 ft³/min
W=0.8333 ft³ / min
W=0.8333*t
At t=3.5 will be;
1 min = 0.8333
3.5 min =?
Apply cross-production
3.5*0.8333 =2.917 ft³
Answer: The equation is y = -6*x
Step-by-step explanation:
I suppose that we want to find the equation for a line that passes through the point (-1, 6) and the origin (remember that the origin is the point (0,0))
A general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
If this line passes through the points (x₁, y₁) and (x₂, y₂), then the slope of the line is equal to:
a = (y₂ - y₁)/(x₂ - x₁)
Now we know that our line passes through the points (0, 0) and (-1, 6), then the slope is:
a = (6 - 0)/(-1 - 0) = 6/-1 = -6
Then our equation is something like:
y = -6*x + b
To find the value of b we can use the fact that this line passes through the point (0, 0).
This means that when x = 0, y is also equal to zero.
If we replace these values in the equation we get:
0 = -6*0 + b
0 = b
Then our equation is:
y = -6*x
457 divided by 4 118.75 i do not have the long division but you basically just put 4 into 457 and stuff so you do 4 into 45 which is 11.25 then 4 into 7
Which is 1.75 then put that together getting 118.75
