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seraphim [82]
1 year ago
12

Help what do I do do i just write y-3x+5 or solve it ​

Mathematics
2 answers:
bixtya [17]1 year ago
4 0

Answer:

  y = -3x +5

Step-by-step explanation:

In general, do what the question asks you to do: write the equation of the line.

__

The slope and y-intercept of the line are given, so the easiest, most direct way to write the equation is to use "slope-intercept form." That form looks like ...

  y = mx + b . . . . . . where m is the slope, b is the y-inercept

You are given m = -3 and b = 5, so the equation you are asked to write can be ...

  y = -3x +5 . . . . . . this equation is the answer to the question

__

<em>Additional comment</em>

There are many forms of the equation for a line. Another one in common use for problems like this is the "point-slope form." You would use that one for a simple, direct answer to writing an equation for a line with a <em>given slope</em> through a <em>given point</em>.

  y -k = m(x -h) . . . . . . . line with slope m through point (h, k)

If you are given the x- and y-intercepts, you can use "intercept form" to write the equation:

  x/a +y/b = 1 . . . . . for x-intercept 'a' and y-intercept 'b'

Another useful form is "standard form", which has ...

  ax +by = c . . . . where a > 0, and a, b, c are mutually prime

For example, the equation for your line could be written in standard form as ...

  3x +y = 5

Rina8888 [55]1 year ago
3 0

Answer:

y=-3x+5

Step-by-step explanation: Yes you have it correct. The question is asking for you to put it into an equation that fits the slope and y-intercept which is slope-intercept form. Additional note, when you have a problem like this and it doesn't say what type of equation form to put it in, put it in slope-intercept form for simplicity's sake.

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wariber [46]

The formula for the area of a trapezium is as follows:

<span>area=<span>12</span>(a+b)h

</span> Let a be the shorter base. Then a = h + 3.
Let b be the longer base. Then b = h + 7.

Substituting these values for a and b in the general formula gives: <span>
area = 225 = <span>12</span>(h+3+h+7)h = <span>h^2</span>+5h</span>

So you need to solve the following quadratic:

<span><span>h^2</span>+5h−225=0</span>


Step 1: Use quadratic formula with a=1, b=5, c=-225.

<span>h=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>h=<span><span><span>−<span>(5)</span></span>±<span>√<span><span><span>(5)</span>2</span>−<span><span>4<span>(1)</span></span><span>(<span>−225</span>)</span></span></span></span></span><span>2<span>(1)</span></span></span></span><span>h=<span><span><span>−5</span>±<span>√925</span></span>2</span></span><span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>5/2</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√37

</span></span></span></span>Answer:<span><span>h=<span><span><span>−5/</span>2</span>+<span><span><span><span>52</span><span>√37</span></span><span> or </span></span>h</span></span></span>=<span><span><span>−5/</span>2</span>+<span><span><span>−5/</span>2</span><span>√<span>37</span></span></span></span></span>
4 0
3 years ago
The volume of a box is given by V = 2x3-11x2 +10x +8. One side is (x - 4) and another side is (2x + 1).
user100 [1]

Answer:

The length of the third side is ( x - 2 )

Step-by-step explanation:

Volume of a box is the product of its length, width and height.

Volume of box = length × width × height.

One side is (x - 4) and another side is (2x + 1).

These given sides can be either length, height or width.

The volume of a box is given by V = 2x3-11x2 +10x +8. This means each of the sides are factors of the volume. To get the third side, we divide the volume by the product of the two given sides.

Product of the two given sides =

( x-4 ) (2x + 1) = 2x^2 + x - 8x + 4

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The long division is shown on the attached photo

The length of the third side is ( x - 2 )

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3 years ago
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Arte-miy333 [17]

Answer:

5

Step-by-step explanation:

5 0
2 years ago
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Tanzania [10]
1 and 7 are the answer to this
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elena-s [515]

Answer:

36π mi

Step-by-step explanation:

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Diameter = 12 mi. Therefore, radius=12/2 = 6 mi

πr²

π x (6)²

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Hence, the answer is 36π mi

3 0
2 years ago
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