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Gemiola [76]
2 years ago
5

What’s the answer to A

Mathematics
1 answer:
NISA [10]2 years ago
5 0

Answer:60

Step-by-step explanation:

plz like

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Expand (2 + a)9 using Pascal’s triangle.
Natalija [7]

Answer:

Step-by-step explanation:

The Pascal triangle is used to determine the coefficients of the terms when we expand the expression.

                                             1                                (A + B) ^ 0 = 1

                                         1       1                            (A +B ) ^ 1 = 1A + 1B

                                   1          2        1          (A+ B) ^ 2 = 1A^2 + 2 AB + 1B^2

By extending the triangle, you will get the 9th row, which is your expression, of the coefficients. that is

1          9       36    84    126    126    84    36    9    1

Now, fill in AB in the gaps.

1AB + 9 AB + 36AB + 84AB + 126AB + 126AB +84AB + 36AB + 9AB + 1AB

Next, you need to go from the left to fill out the exponent of A and it will go down from 9 (the exponent of the whole thing) . That is

1A^9B+9A^8B+36A^7B+84A^6B+126A^5B+126A^4B+84A^3B+36A^2B+9A^1B+1A^0B

Next will be the exponent of B. this time, you go from the right and do the same with A. You can go from the left also, but go up from 0 to 9 for the exponent of B

1A^9B^0+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+1A^0B^9

The last step is just to simplify the A^0=1 and B^0 =1 at the first and the last terms.

A^9+9A^8B^1+36A^7B^2+84A^6B^3+126A^5B^4+126A^4B^5+84A^3B^6+36A^2B^7+9A^1B^8+B^9

Hope you can learn the method

5 0
3 years ago
What is the equation of this line in slope-intercept form?
12345 [234]

Answer:

y = -2x + 5

Step-by-step explanation:

Slope-intercept form: y = mx + b

The slope of the line, m, is -2 because the line shows a negative trend and moves right 1 unit every time a point moves down 2 units.

The y-intercept, b, is 5 because the line crosses that number once on the y-axis.

7 0
2 years ago
Solve the equation for t. (t-7)^2+18=9
Anika [276]

Answer:

t = 7 + 3i

Step-by-step explanation:

(t-7)^2 + 18 = 9

(t-7)^2 = 9 - 18

(t-7)^2 = -9

(t-7) = sqrt(-9) = |3| sqrt(-1)

t = 7 + 3i

4 0
3 years ago
What is the y-intercept for the below inequality?
san4es73 [151]

Answer:

The correct answer is C

Step-by-step explanation:

In order to find the y-intercept, you need to first solve the inequality for y.

5x - 3y ≤ 15

-3y ≤ -5x + 15

y ≥ 5/3x - 5

Now we look at the constant at the end. Since that constant is -5, we know C to be the answer.

8 0
3 years ago
FIRST TO ANSWER WILL GET BRAINLIEST, THANKS AND 5 STAR RATING HURRRRRRYYY'
anygoal [31]

Answer:

Mean: 41.8

Median:41

Mode:27

Range:46

Step-by-step explanation:

4 0
3 years ago
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