Natalie wants to buy 5 feet of ribbon for her scrap book supplies. The store only sells the ribbon in inches. How much ribbon do
2 answers:
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Answer:
miles per minute represents the speed of the bird and 3 miles represents the original distance of the bird from its nest.
Step-by-step explanation:
As there is no graph mentioned here but the information are quite sufficient to answer the question.
We have points
From these points we can find the slope of the line .
From point slope formula
And assigning and
This slope is also the speed of the bird which is
As by plugging the values of any coordinate point we can confirm this.
Lets put , y-axis is the distance so in
minutes the the distance covered by the bird must be equal to to y-axis value which is
miles.
Now as in the bird has started from y-intercept value
so we can say that,the original distance of the bird from its nest is
.
So the correct choices are: and
The birds speed is per minute and is
away from its nest.
Answer:
Step-by-step explanation:
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is
y = (3/2)x - 0.5
