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Veronika [31]
4 years ago
9

Determining Sine and Cosine Values

Mathematics
1 answer:
marysya [2.9K]4 years ago
6 0

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HELP HELP PLEASE!! D:<br> Determine the missing side length!!<br> PLEASE NO CAP!!
Y_Kistochka [10]

Answer:

9.22

Step-by-step explanation:

6x6 + 7x7 = c^2

36 + 49 = c^2

85 = c^2

c = √85

c = 9.22

8 0
3 years ago
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>
3 0
3 years ago
Read 2 more answers
(4x-y) to the 3rd power -(4-xy-2) for x=-2 and y=3​
Scilla [17]

First of all, we can simplify the expression:

(4x-y)^3-(2-xy) = (4x-y)^3+xy-2

Substitute x=-2 and y=3 to get

(4x-y)^3+xy-2 \longrightarrow (4(-2)-3)^3+3(-2)-2\\= (-8-3)^3-6-2\\= (-11)^3-8\\=-1331-8\\=-1339

6 0
4 years ago
Diabetic needs to calculate the amount of carbs in a meal to determine how much insulin to give
Yuliya22 [10]

Answer:

138g

Step-by-step explanation:

38g+56g+44g=

138g

4 0
3 years ago
Six Less than a number is negative two<br><br> what is this as a written equation
sergey [27]

Answer: x-6=-2

Step-by-step explanation:

when asking what 'blank' less than a number is, you are gonna subtract 'blank' from the number. Also, just incase, x=4.

7 0
3 years ago
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