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valentina_108 [34]
3 years ago
7

Show that points A(-3,-2),B(3,1), and C(5,2) lie on a straight line​

Mathematics
1 answer:
agasfer [191]3 years ago
7 0

Answer:

Step-by-step explanation:

If A, B, and C are on the same line, they have the same slope.

k is slope.

k(AB) = \frac{(1+2)}{(3+3)} =\frac{1}{2};

K(BC)=\frac{2-1}{5-3} =\frac{1}{2};

So k(AB)=K(BC)

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The m∠ACD = (4x + 4)° and m∠ABD = (6x - 14)°. Find m∠ACD.
densk [106]
The anwser is C because your suppose to line it up like this, 4x+4=6x-14, then you solve for x. Once you have x then you plug it in and solve. For your x you will get 9.
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) (i) Simplify:<br>Permudahkan:-<br>9 + 3t - 4​
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Answer: =3t+5

Step-by-step explanation:

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Divide x4 + 7 by x - 3.. A] x³ - 3x² - 9x - 27 R 88. B] x³ + 3x² + 9x - 27 R -74. C] x³ + 3x² + 9x + 27 R 88
Nastasia [14]
<span> divide a polynomial p(x) by (x-3). Add and subtract the multiple of (x-3) that has the same highest-power term as p(x), then simplify to get a smaller-degree polynomial r(x) plus multiple of (x-3). </span>

<span>The multiple of (x-3) that has x^4 as its leading term is x^3(x-3) = x^4 - 3x^3. So write: </span>

<span>x^4 + 7 = x^4 + 7 + x^3(x - 3) - x^3(x - 3) </span>
<span>= x^4 + 7 + x^3(x - 3) - x^4 + 3x^3 </span>
<span>= x^3(x - 3) + 3x^3 + 7 </span>

<span>That makes r(x) = 3x^3 + 7. Do the same thing to reduce r(x) by adding/subtracting 3x^2(x - 3) = 3x^3 - 9x^2: </span>

<span>= x^3(x - 3) + 3x^3 + 7 + 3x^2(x - 3) - (3x^3 - 9x^2) </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 </span>

<span>Again to reduce 9x^2 + 7: </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 + 9x(x - 3) - (9x^2 - 27x) </span>
<span>= x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27x + 7 </span>

<span>And finally write 27x + 7 as 27(x - 3) + 88; </span>
<span>x^4 + 7 = x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27(x - 3) + 88 </span>

<span>Factor out (x - 3) in all but the +88 term: </span>
<span>x^4 + 7 = (x - 3)(x^3 + 3x^2 + 9x + 27) + 88 </span>

<span>That means that: </span>
<span>(x^4 + 7) / (x - 3) = x^3 + 3x^2 + 9x + 27 with a remainder of 88</span>
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Answer:

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