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Iteru [2.4K]
2 years ago
5

What is an equation of the line that passes through the points (6, 4) and (4, 1)

Mathematics
1 answer:
Flauer [41]2 years ago
5 0

Answer:

(3/2)x - 5 or 1.5x - 5

Step-by-step explanation:

y = mx + b

Whereas, m = slope, b = y intercept, and obviously x = the x variable.

We can find the slope by plotting the 2 points and using the rise-over-run method to give you 3/2 or 1.5.

We can find the y intercept by tracing a line through both points and to the y axis.

Hope this helps!

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Find the slope and y intercept form equation from the table ​
DaniilM [7]

Answer:

y=x+5 or y=1x+5

Step-by-step explanation:

i hope this helps :)

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Your closet has 5 shirts for every 4 sweaters. Your closet has 15 shirts. How many sweaters are in your closet?
Mnenie [13.5K]
Since it is a 5:4 it would be 15:12
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Solve F(x) for the given domain. Include all of your work in your final answer. Submit your solution. F(x) = x2 + 2 F(x + h) =
ira [324]

Answer:

F(x-h) = x² + 2xh +h² +2

Step-by-step explanation:

F(x) = x² + 2, x∈R

F(x + h) = (x + h )² + 2 = x² + 2xh + h² + 2

3 0
3 years ago
What is the slope 5x+2y=-2
SpyIntel [72]
The slope is -2.5 because you subtract 2y from both sides, then add two to both sides, then divide both sides by 2 to isolate y
6 0
3 years ago
Can someone help me for this question please? I just keep getting wrong answer! Pls someone explain to me step by step! ASAP!!!
Kobotan [32]

Answer:

  84 feet

Step-by-step explanation:

This problem involves several steps. The first step is to realize that the given figure does not show the required number of vertical stringers. It shows 5, but there will be 7 of them. The given diagram is helpful in that it shows a vertical stringer on the centerline of the arches.

The second step is to write a function that will tell you how long the stringer will be. I find it convenient to write the equation for an arch shape such as this using the parent function h(x) = 1-x^2. This parent function gives an arch of height 1 and width 1 from center (a total width of 2). You want an arch that is 16 ft high and 40 ft wide (one side from center), so you must scale this parent function both horizontally (by 40) and vertically (by 16). It becomes ...

  H(x) = 16(1 -(x/40)^2)

The taller arch is twice this height, so the length of a vertical stringer at position x is

  vertical length = 2H(x) -H(x) = H(x)

That is, the function H(x) we defined can be used to find the length of the stringers.

The third step is to find the stringer lengths. It can save some energy if you realize that the problem is symmetrical, so that the stringer at x=-30 is the same length as the one at x=30. We need to find stringer lengths every 10 feet from -40 feet to +40 feet. Of course, the ones at ±40 feet are zero length, because that is where the two arches meet.

  H(-30) = 16(1 -(3/4)^2) = 7

  H(-20) = 16(1 -(1/2)^2) = 12

  H(-10) = 16(1 -(1/4)^2) = 15

  H(0) = 16

Then the fourth step is to add up the stringer lengths, rounding the result as required.

  7 +12 +15 +16 +15 +12 +7 = 16 + 2(34) = 84 . . . . feet (no rounding needed)

Finally, you need to answer the question asked:

  The sum of vertical stringer lengths is 84 feet.

5 0
3 years ago
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