The equation the line is y = -2x/3 + 28/3
Given that are two points we need to find the equation of a line passing through it,
(5, 6) and (8, 4)
We know that an equation of line passing through two points (x₁, y₁) and (x₂, y₂) is given by =
y - y₁ = y₂-y₁ / x₂-x₁ (x-x₁)
Here (x₁, y₁) and (x₂, y₂) = (5, 6) and (8, 4)
y - 6 = 4-6 / 8-5 (x-5)
y - 6 = -2/3 (x-5)
y = -2/3 (x-5) + 6
y = -2x/3 + 10/3 + 6
y = -2x/3 + 28/3
Hence the equation the line is y = -2x/3 + 28/3
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b. 5.0467
c. 5,647,000
d. 0.5467
Answer:
five and four hundred sixty-seven ten thousandths
b. 5.0467
0.
0 tenths
0 hundreds
0 thousands
0 ten thousands
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Answer:
undefined or 0
Step-by-step explanation:
Answer:
The answer is 0 because undefined is straight up or vertical
Answer:
2 more quarts of oil is needed to fill
the engine to capacity
Step-by-step explanation:
Here, we want to calculate how many more quarts of oil is required to fill the engine to capacity
We have to convert the capacity to quarts
Mathematically, 1 gallon = 4 quarts
So 1 1/4 gallon will be 5/4 * 4 = 5 quarts
So the number of quarts needed to fill the engine to capacity will be 5 quarts - 3 quarts = 2 quarts
Answer:
Step-by-step explanation:
We have been given that the amount of a persons paycheck p varies directly with the numbers of hours worked t.
Since we know that the equation for direct variation is in form: , where, k represents the constant of variation.
We are also told that for 16 hours of work, the paycheck is $124.00. We can represent our given information as:
Upon substituting p=124 and t=16 in directly proportional equation we will get,
Let us divide both sides of our equation by 16 to solve for k.
Upon substituting the value of constant of variation in our equation we will get,
Therefore, the equation represents the relationship between hours of work and pay.