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Black_prince [1.1K]
3 years ago
15

Point slope form and standard form

Mathematics
2 answers:
SVEN [57.7K]3 years ago
8 0

The point slope form, , is useful in situations involving slope and the location of one or more points. The standard form, , is usually easier to use when we need to make algebraic calculations. When needs or knowledge change, we can convert an equation from one form into another.

ikadub [295]3 years ago
3 0
The slope-intercept form (not asked for) is the y=mx+b form, where m is the slope and b is the y-value of the y-intercept (0,b).
This form only works if you have both the slope and y-intercept.

If you have the slope and some other point on the line, say (x1, y1), then the point slope form is:
y - y1 = m ( x - x1 )

So, if you have a slope of 7 and a point (2, -6), then your point-slope form would be:
y - (-6) = 7 ( x- 2) or y+6=7(x-2)

Now standard form is the Ax+By=C format. You can turn any slope-intercept equation or point-slope equation into that form by distributing everything out and getting the x’s and y’s to the left side. Often you’ll also make sure you don’t have any fractions.

Taking the last answer I had, y+6=7(x-2), I’d put this into standard form by distributing:
y+6=7(x-2)

y+6 = 7x - 14

Then move 7x to the left by subtracting and move 6 to the right by subtracting:

-7x + y = -20
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OK SO THE OTHER THING DOES NOT LET US TEXT SOOO HERES THE OTHER ONE

Step-by-step explanation:

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What are the factors of the expression x^2+x-20?
tatyana61 [14]

Answer:

(x-4)(x+5)

Step-by-step explanation:

Find 2 numbers knowing sum (1) and product (-20). To find them, factor pairs of (-20) --> (-2,10) (-4,5). This sum is 1=b. Then, these 2 numbers are: - 4 and 5. Y=(x-4) (x+5). Hope this helped :)

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3 years ago
Can someone please help me real quick?
Dima020 [189]

Answer:

3.5p ≤ 40

Step-by-step explanation:

The inequality that best describes this problem is 3.5p ≤ 40;

Given parameters:

Total amount with me = $40

Cost per package of hot dog  = $3.5

Unknown;

The inequality that represents the problem  = ?

Solution:

p is the number of hotdogs that can be bought.

  So, total hotdog that can be bought if each hotdog cost $3.5 per box is;

                    p x 3.5

Now,

    this will equal the total amount at hand;

       p x 3.5 ≤ 40

         3.5p ≤ 40

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A rectangular field is 95 meters long and 65 meters wide. Give the length and width of another rectangular field that has the sa
Lena [83]

Answer:

There are a ton of answers. For instance, 1m by 159m.

Step-by-step explanation:

The formula for the area is a=l*w, where l and w are constants.

The formula for perimeter is p=2l+2w

The question wants another rectangle that has the same perimeter, but a smaller area.

The perimeter of the two fields has to be:

p=(2*95)+(2*65)\\p=190+130\\p=320

Thankfully, the question never specified how much smaller the area has to be. So let's go to the logical extreme and make it 1 meter wide. To conserve the perimeter, we'd have to add the removed 64 meters to the original 95 meters of length, resulting in a rectangle with a width of 1m and a length of 159m. This results in an area of exactly 159 m^{2}. The original rectangle had an area of 6175m^{2}. Mission accomplished!

But why stop there? Let's go even further down this rabbit hole!

Instead of 1, why don't we take it several steps further and use 0.0000001? At that point, the length would end up being  159.9999999m.

The area would be 0.00001599999999 m^{2}.

Let's go further!!

Width: 0.00000000000000000001

Length: 159.99999999999999999999

Area: 0.00000000000000000001599999999999999999999 (approximate).

One more, for old time's sake.

Width: 0.00000000000000000000000000000000000000000000000001m

Length: 159.99999999999999999999999999999999999999999999999999m

Area: 0.00000000000000000000000000000000000000000000000015999999999999999999999999999999999999999999999999999 m^{2}

At that point, there's so little area in the plot of land that you could claim it has no area!

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Answer:

The spinner

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The spinner will work because there is a 2/5 chance of landing on green everytime it is spun

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