Answer:
The point (56, 1.75) is on the line.
Step-by-step explanation:
Given two points, we can get the slope (m) as follows:
m = (y2 - y1)/(x2 - x1)
where (x1, y1) and (x2, y2) are the points. Replacing with (8, 0.25) and (16, 0.5):
m = (0.5 - 0.25)/(16 - 8) = 0.03125
The point-slope form of a line is:
y - y1 = m(x - x1)
Replacing with data:
y - 0.25 = 0.03125(x - 8)
To know if point (56, 1.75) is on the line, we have to replace x = 56 in the obtained equation and check y-value, as follows:
y - 0.25 = 0.03125(56 - 8)
y - 0.25 = 1.5
y = 1.5 + 0.25 = 1.75
Then, the point is on the line. This means that there are 56 ounces in 1.75 quarts.
The nearest hundredth would be 0.17
Answer:
D.
Step-by-step explanation:
the slope formula - y = mx + b
m = slope
b = y intercept
Answer:
The missing co-ordinate is: (-1,
).
Step-by-step explanation:
Given the slope of a line and a point on it, we determine the equation of the line by slope - one point form.
Slope - one point form: (y - y₁) = m(x - x₁)
Where, (x₁,y₁) is the point passing through the line.
Here the slope is 
and the point (x₁,y₁) = (4,7).
Therefore the equation would be:
y - 7 = (x - 4)
⇒ 3y - 21 = -2x + 8
⇒ 2x + 3y - 29 = 0 is the equation of the line.
Now it is given that (-1,y) also passes through the line, this point should satisfy the equation.
⇒ 2(-1) +3y = 29
⇒ 3y = 31 i.e., y =
Therefore, the missing co-ordinate is: (-1,).
No. surface area is: 2x2x2xpi (2 circle ends) + 4x12xpi (long round outside) = 175.99 ft
