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vlabodo [156]
3 years ago
8

Create an equation in slope intercept form given a point and a slope or given two points

Mathematics
1 answer:
vlabodo [156]3 years ago
7 0

So we need to start by using point slope form.

The general forumla of point slope is:

Y-Y_1=m(X-X_1)

Y₁ Is the Y Coordinate, X₁ is the X Coordinate, and M is the slope. So we plug these numbers into our formula.  

Y--7 = 3(X--4)\\Y+7=3(X+4)

Now, In order to solve in slope-intercept form, we have to isloate the Y and make sure it follows Y = mx+b so.  


Y+7 = 3(x+4)\\Y+7 = 3x+12\\Y=3x+5

So the equation is Y = 3x+5

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Find the 7th term of the expansion of (3c + 2d)9.
SIZIF [17.4K]
\bf (3c+2d)^9\\\\
-------------------------------\\\\

\begin{array}{crcll}
term&&value\\
-----&&-----\\
1&&(3c)^9(2d)^0\\
2&+9&9(3c)^8(2d)^1\\
3&+36&(3c)^7(2d)^2\\
4&+84&(3c)^6(2d)^3\\
5&+126&(3c)^5(2d)^4\\
6&+126&(3c)^4(2d)^5\\
7&+84&(3c)^3(2d)^6\\
\end{array}

now.. if you notice, the exponent for the 1st term, is dropping on each term subsequently, start with highest, 9 in this case, and drops drops drops, till on the last term, will be 0

the exponent for the second term, starts off at 0, and goes up up and up on each term

that part is simple... now, the coefficient for them

the first one will have a coefficient of 1, so we can take a closer look at the 2nd instead

the coefficient for the second is 1* 9/ 1
(1) the coefficient of the current term, (9) the exponent of the 1st term, and (1) the exponent of the 2nd term on the next term

for example, how did we get 84 for the 4th term?   (36 * 7) / 3 = 84

and so on for all subsequent terms
8 0
4 years ago
Mr. Abraham is 36 years old. His wife is 6 years younger than him and their son is 24 years old younger than his wife. What is t
sesenic [268]
Hi!
We know that Mr. Abraham’s wife is 6 years younger than him, which is 36-6, which means his wife is 30 years old.

We also know that Mr A’s son is 24 years younger than his wife, which is 30-24, which is 6.

As of right now, we now know that:
Mr. A is 36
Mr. A’s wife is 30
Mr. A’s son is 6

It’s asking for the ratio of Him:Wife:Son, so 36:30:6.

BUT, it’s asking for simplest form, so divide each of those numbers by 6.

Your answer is: 6:5:1
8 0
3 years ago
Find the value of x and the value of y
Doss [256]

Answer:

C

Step-by-step explanation:

These sides are in a ratio:

1 : 2 : \sqrt{x} 3

Therefore:

6 0
3 years ago
1. Determine the approximate measure of angle E.
Naddik [55]

Answer:

1. 81.0

2. I`m trying to figure that out now I will give answers when I can

Step-by-step explanation:

7 0
4 years ago
6/6 as a sum of fractions three different ways
Kryger [21]
You can do 12/12 8/8 10/10 3/3 and 2/2 all equal to 6/6 all in different ways.
4 0
4 years ago
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