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Salsk061 [2.6K]
3 years ago
15

Binomial Coefficients (30pts) 1. Write (a + b)^2 as a polynomial in standard form. Show work (FOIL/distributive property).

Mathematics
1 answer:
Darina [25.2K]3 years ago
4 0

Answer:

a^2 + 2ab + b^2

Step-by-step explanation:

Given

(a + b)^2

Required

Express as a standard polynomial

We have:

(a + b)^2

Rewrite as:

(a + b)(a + b)

Open bracket

a^2 + ab + ab + b^2

Add like terms

a^2 + 2ab + b^2

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Answer:

A) Vertical test

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How would you go about finding the solution to this system of three equations in three variables? Be specific. For example, you
kupik [55]
I:2x – y + z = 7
II:x + 2y – 5z = -1
III:x – y = 6

you can first use III and substitute x or y to eliminate it in I and II (in this case x):
III: x=6+y
-> substitute x in I and II:
I': 2*(6+y)-y+z=7
12+2y-y+z=7
y+z=-5

II':(6+y)+2y-5z=-1
3y+6-5z=-1
3y-5z=-7

then you can subtract II' from 3*I' to eliminate y:
3*I'=3y+3z=-15

3*I'-II':
3y+3z-(3y-5z)=-15-(-7)
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z=-1

insert z in II' to calculate y:
3y-5z=-7
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y=-4

insert y into III to calculate x:
x-(-4)=6
x+4=6
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so the solution is
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3 0
3 years ago
The figure shows a kite ABCD where AB = AD, BC = CD and the diagonals AC and BD intersect at E.
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Answer:

ABD

Step-by-step explanation:

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Step-by-step explanation:

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I will give brainiest to whoever answers correctly !!
Diano4ka-milaya [45]

Answer:

$10511.075

Step-by-step explanation:

Given :

Interest rate, r =. 1.25% = 0.0125 compounded semianually

Principal = 10000

Number of years, t = 4 years

Compound interest :

A = P(1 + r/n)^nt

A = final amount ; n = number of compounding times per period

n = 2 (quarterly)

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A = 10000(1 + 0.00625)^8

A = 10000(1.00625)^8

A = 10000 * 1.051107529

A = 10511.075

Final. Amount to. Be repaid = $8515.13

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2 years ago
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