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Alexeev081 [22]
3 years ago
10

Fill in the missing areas for Claire's garden table:

Mathematics
1 answer:
Andre45 [30]3 years ago
4 0
What????????????????????
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Given that x=3sin​​θ-2 and y=3cos​​​θ+4.Show that (x+2)²+ (y-4)²=9​​​​​​
asambeis [7]

Answer:

First, plug-in x and y as 3sin​​θ-2 and 3cos​​​θ+4 into the equation, respectively:

((3\sin (\theta)-2)+2)^2 + ((3\cos (\theta)+4)-4)^2 = 9

Then, +2 and -2 cancel out and +4 and -4 cancel out as well, leaving you with:

(3\sin(\theta))^2+(3\cos(\theta))^2=9

We can factor out 3^2 = 9 from both equations:

9(\sin(\theta)^2+cos(\theta)^2) = 9

We know from a trigonometric identity that \sin(\theta)^2+cos(\theta)^2 = 1, meaning we can reduce the equation to:

9(1) = 9

9=9

And therefore, we have shown that (x+2)^2 + (y-4)^2 = 9, if x=3sin​​θ-2 and y=3cos​​​θ+4.

Hope this helped you.

7 0
3 years ago
Factor the following:<br><br><br><br> 2x2+9x+9
ryzh [129]

Answer: (2x+3)(x+3)

Step-by-step explanation:

Looking at this, you know that it must look something like

(? +3)(?+3) , because they must multiply to 9. The ?s must multiply to 2x^2, the most plausible values being 2x and x, ending us up with (2x+3)(x+3)

8 0
2 years ago
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Decide which item is the better purchase in the scenario below.
Andrews [41]
The 3oz is better than the 20
5 0
2 years ago
746/40<br><img src="https://tex.z-dn.net/?f=40%20%5C%20746" id="TexFormula1" title="40 \ 746" alt="40 \ 746" align="absmiddle" c
jolli1 [7]

Answer:

373

Step-by-step explanation:


5 0
3 years ago
Please answer this question !! 20 POINTS AND BRAINLIEST !!
jek_recluse [69]

Answer:

The answer is c.

Step-by-step explanation:

12*12 = 144 so It would be 12

7*7= 49 therefore, it would be 7

3 0
3 years ago
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