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earnstyle [38]
2 years ago
8

write an equation for the line that passes through the given point and has the given slope m (4,-5);m= -1/4

Mathematics
1 answer:
EastWind [94]2 years ago
5 0

-------------------------------------------------------------------------------------------------------------

Answer:  \textsf{y = -1/4x - 4}

-------------------------------------------------------------------------------------------------------------

Given: \textsf{Slope = -1/4, Point through = (4, -5)}

Find:  \textsf{Equation for the line that passes through the given point}

Solution: In order to get the equation, we need to first use the point-slope form to help us sort out our information and then we solve for y.

<u>Plug in the values</u>

  • \textsf{y - y}_1\textsf{ = m(x - x}_1\textsf{)}
  • \textsf{y - (-5) = -1/4(x - 4)}

<u>Simplify and solve for y</u>

  • \textsf{y + 5 = -1/4(x - 4)}
  • \textsf{y + 5 = -1/4x + 1}
  • \textsf{y + 5 - 5 = -1/4x + 1 - 5}
  • \textsf{y = -1/4x - 4}

Therefore, the final answer would be that the equation that has a slope of -1/4 and passes through (4, -5) is y = -1/4x - 4.

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7 is subtracted from 7 times a number
PolarNik [594]

Answer:

(7x) - 7

Hope this helps!

8 0
3 years ago
Read 2 more answers
The sum of three consecutive numbers is greater than 40. The inequality that represents this is x + x + 1 + x + 2 &gt; 40. Which
Brut [27]

Answer:

3x > 37

x > 12.333

Thus, 13 and 15 satisfy

Step-by-step explanation:

hope this helps

3 0
4 years ago
Read 2 more answers
The height, h, of the equilateral triangle is given by h =5cotΘ, where Θ is 30 degrees. Can someone help me with this? I don't u
Hoochie [10]

You don't even need the picture to solve this one.

You said that      h = 5 cot(Θ) ,    and you said that  Θ  is 30 degrees.
All you need now is to find the cotangent of  Θ, plop that into the equation,
and the solution practically jumps off the paper into your lap.

To find the cotangent of 30 degrees, you can use a calculator, look it up
in a book, read it off of a slide rule if you have one, draw a picture of a
30-60-90 right triangle etc.  You'll find that the cotangent of 30 degrees
is  √3 .  That's about 1.732 .

So your equation is    h = 5 (1.732)  =  <em>8.66  </em>(rounded)

Apparently, somebody gave you the equation, and asked you to find 'h'.
Once you had the equation, you didn't even need to know that  'h'  has
anything to do with a triangle.


5 0
3 years ago
Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d
iogann1982 [59]
<span>Form a sequence that has two arithmetic means between -13 and 89. a. -13, 33, 43, 89 c. -13, 21, 55, 89 b. -18, -36, -72, -144 d. -18, -81, -144

Solution:

Since  it has to be between -13 and 89, letter d and b are not anymore considered to be the answer.

for a:
33-(-13)=46=d
43-33=10=d the value for this d is different from the two sequence,
89-43=46=d
they have different value for d, thus this is not the answer!

for c:
21-(-13)=34=d
55-21=34=d
89-55=34=d

they have the same value for d, thus the correct answer is </span><span> c. -13, 21, 55, 89</span>
8 0
4 years ago
The length of a rectangle is twice its width.<br> The perimeter of the rectangle is 126 feet.
seraphim [82]

Answer: Length = 42ft Width = 21ft

Step-by-step explanation:

Let "w" be width

W = 21ft

w x 2 = L

L = 42ft

Perimeter:

42+42+21+21

=126

8 0
3 years ago
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