Answer:
Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line
And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y
The coefficient of the x is the slope
The slope of the perpendicular line is the negative reciprocal of m, thus
We know the second line passes through (2,3). That is enough information to find the second equation:
Operating
Simplifying
That is the equation in slope-intercept form. Intercept: y=4
226,000
Step-by-step explanation:
250,000-24,000=226,000
Given:
- Lily bought 20.24 pounds of grapefruit.
- The lightest grapefruit weighed 1.2 pounds.
- The heaviest grapefruit weighed 1.8 pounds.
To Find:
An estimate of the number of grapefruits she bought.
Answer:
The best estimate is that Lily bought 13 grapefruits.
Step-by-step explanation:
Given that the lightest grapefruit weighed 1.2 pounds and the heaviest one weighed 1.8 pounds, we can take the mean or average of these two weights to estimate the weight of any of the grapefruits that she bought.
That is, we can say that each grapefruit must weigh something close to the average value.
The average can be found as
Thus, the average grapefruit from the bundle she bought must weigh around 1.5 pounds.
Now, given that the total weight of the grapefruit she bought is 20.24 pounds.
By the Unitary Method,
Weight of One Grapefruit = Total Weight of All Grapefruits ÷ Number of Grapefruits
So, number of grapefruits she bought = Total weight ÷ weight of one grapefruit
In other words,
number of grapefruit = 
Rounding off, we may say that Lily bought 13 grapefruits.
Answer:
y - 2 = 1/2(x - 3)
Step-by-step explanation:
In this question, we need to write the given information in point-slope form.
Point-slope form: y - y1 = m(x - x1)
We know that our slope is 1/2
We are also given a coordinate: (3, 2)
Plug in the information to its correct spot in the equation:
y - 2 = 1/2(x - 3)
Your point-slope form would be: y - 2 = 1/2(x - 3)
