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Softa [21]
3 years ago
15

PLEASE I NEED HELP W THIS ASAP THANK YOU GUYS PLEASE

Mathematics
2 answers:
Free_Kalibri [48]3 years ago
6 0

Answer:

<em>4x³ - 13x² + 9 </em>

Step-by-step explanation:

(4x + 3)(x² - 4x + 3) =

(4x)(x²) + (4x)( - 4x) + (4x)(3) + 3(x²) + 3( - 4x) + 3(3) =

4x³ - 16x² + 12x + 3x² - 12x + 9 =

= <em>4x³ - 13x² + 9</em>

frozen [14]3 years ago
4 0

Answer:

a. 4x³+13x²+9

Step-by-step explanation:

1. Distribute 4x to every term in the second set of parenthesis to get:

4x³-16x²+12x

2. Distribute 3 to every term in the second set of parenthesis to get:

3x²-12x+9

3. Add/subtract terms with the same variables/degrees:

4x³-16x²+12x+3x²-12x+9

4. The simplified answer is:

4x³+13x²+9

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the endpoints of the diameter of a circle are (−6, 6) and (6, −2), what is the standard form equation of the circle?
miss Akunina [59]
The equation of a circle in standard form is

(x - h)^2 + (y - k)^2 = r^2

where (h, k) is the center of the circle, and r is the radius if the circle.

We need to find the radius and center of the circle.
We are given a diameter, so to find the center, we need the midpoint of the diameter.

M = ((-6 + 6)/2, (6 + (-2))/2) = (0, 2)
The center is (0, 2).

To find the radius, we find the length of the given diameter and divided by 2.

d = \sqrt{(-6 - 6)^2 + (6 - (-2))^2)}

d = \sqrt{144 + 64}

d = \sqrt{208}

r = \dfrac{d}{2} = \dfrac{\sqrt{208}}{2} = \dfrac{\sqrt{208}}{\sqrt{4}} = \sqrt{52}

(x - 0)^2 + (y - 2)^2 = (\sqrt{52})^2

x^2 + (y - 2)^2 = 52
7 0
3 years ago
Find the value of a in the parallelogram.
Scorpion4ik [409]
A=20
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2a=40. Divide 40by 2
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6 0
2 years ago
Binomial Theorem, proof
IrinaVladis [17]

It follows from the definition of the binomial coefficient:

\dbinom nr=\dfrac{n!}{r!(n-r)!}

So we have

(n+1)\dbinom nr=(n+1)\dfrac{n!}{r!(n-r)!}=(r+1)\dfrac{(n+1)!}{(r+1)!(n-r)!}

That is, (n+1) gets absorbed into the numerator's factorial, and we introduct (r+1) into the denominator. Now, (n+1)-(r+1)=n-r, so we get

(n+1)\dbinom nr=(r+1)\dfrac{(n+1)!}{(r+1)!((n+1)-(r+1))!}=(r+1)\dbinom{n+1}{r+1}

as required.

4 0
3 years ago
Is 1000 a term in the sequence 50,65,80,95
Alex Ar [27]
Yes it is

it’s the 41st term

EXPLANATION:

the nth term would be 15n+35
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1. 2. 3. 4.
50. 65. 80. 95

1000- 35= 965


965/15=41

7 0
2 years ago
Twenty-seven minus 3/2 of a number (x) is not more than 36. What is the number?
drek231 [11]
27 - 1.5x ≤ 36
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54 - 72 ≤3x
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-6 ≤ x
x ≥ -6
6 0
3 years ago
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