Answer:
In point slope form, this is y = (-5/2)x + 2. In standard form, it's (5/2)x + y = 2.
Step-by-step explanation:
y-6=-5/2 (x+4) has already been written in point-slope form. The slope of the line is -5/2 and the point on the line is (-4,6).
In slope-intercept form: add 6 to both sides of the original equation, obtaining y = 6 - (5/2)(x + 4), or y = 2 - (5/2)x, or y = (-5/2)x + 2
Answer:
54 movies
Step-by-step explanation:
shelving unit has 4x + 6 movies
and each holds 12 movies,
then x =12
Then solve 4x + 6 for x= 12
4(12) + 6 = 54
Answer:
a + 2,500 < 32,000; a < 29,500
Step-by-step explanation:
This shows the 2,500 can be adapted to become less than 29,500 in additional measure when flying.
As 2,500+ 29,500 = 32,000
The a+2,500<32,000 is also correct as this shows less than and confirms that the biplane stays below 32,000.
The point (-11,34) has the coordinates x = -11 and y = 34
The point (47,0) has the coordinates x = 47 and y = 0
Let's focus on just the x coordinates of each point for now. Those values are -11 and 47. Add them up to get -11+47 = 36. Then divide by two to end up with 36/2 = 18
The x coordinate of the midpoint is x = 18
Repeat those steps for the y coordinates. First add them up: 34+0 = 34. Then divide by two: 34/2 = 17
The y coordinate of the midpoint is y = 17
<h3>Therefore the midpoint is located at (x,y) = (18,17)</h3>
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side note:
If you want, you can use the formulas
xm = (x1+x2)/2
ym = (y1+y2)/2
where (x1,y1) and (x2,y1) are the two endpoints and (xm, ym) is the midpoint. Though this method may be a bit confusing.
Answer:
b > 17
Step-by-step explanation:
In this question, you would have to solve the inequality.
Solve for b:
17b - 21 > 12b + 64
Subtract 12b from both sides:
5b - 21 > 64
Add 21 to both sides
5b > 85
Divide both sides by 5:
b > 17
b > 17 will be your answer.