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choli [55]
3 years ago
6

Please help me with number 19

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
The new equation will be (x-1)² + (y-18)²=36

2) x²+y²+6x+12y=4
(x²+6x+?)-(?) + (y²+12y +??) -(??)=4

(x²+6x+9)-(9) + (y²+12y +36) -(36)=4
(x+3)² - 9 + (y+6)² - 36 = 4

(x+3)² +(y+6)² = 49
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The common difference in an arithmetic sequence is –2 and the first term is 47. What is the 29th term?
BlackZzzverrR [31]

An arithmetic sequence is an ordered list of numbers where the next number is found by adding on to the last number (ex: 2,5,8,11... is a sequence where 3 is added on to find the next number).

The equation for an arithmetic sequence is
A_{n}=A_{1}+(n-1)d

A_{n} is the "n-th" number in the sequence (ex:  is the first term in the sequence)
d is the number you add (common difference) to find the next number
The first number in the sequence is 47 so A_{1}=47
<span>d=-2 because the question gives you that
</span>
A_{n}=A_{1}+(n-1)d
<span>A_{29}=47+(29-1)(-2)
</span><span>A_{29}=47+(28)(-2)
</span><span>A_{29}=47+-56
</span><span>A_{29}=-9
</span>
The answer is A. -9.

<u>                                                       </u>

<span>The answer is C. 158</span>

For the second one, it gives you A_{1}=4 and <span>A_{}=18
You can use this to find d

</span><span>A_{n}=A_{1}+(n-1)d
</span><span>A_{3}=4+(3-1)d
</span><span>18=4+(3-1)d
</span><span>18=4+2d
</span><span>14=2d
</span><span>7=d
</span>
Now you can just solve using the equation normally.
<span>A_{n}=A_{1}+(n-1)d
</span><span>A_{23}=4+(23-1)(7)
</span><span>A_{23}=4+(22)(7)
</span><span>A_{23}=4+154
</span><span>A_{23}=158
</span>
The answer is C. 158
8 0
4 years ago
Read 2 more answers
A
vredina [299]

Answer:

d is the answer young man

7 0
3 years ago
Combine as indicated by the signs. 8-y/3y + y+2/9y - 2/6y
Taya2010 [7]

Answer:

26 + y

----------

   9y


Step-by-step explanation:

Your using parentheses here would remove a great deal of ambiguity.  Looking at your 8-y/3y + y+2/9y - 2/6y, I have interpreted it to mean:

(8-y)/3y + (y+2)/9y - (2/6)y.  For example, without parentheses, your 8-y/3y might be interpreted differently, as 8   -   y/(3y), or 8 - 1/3.

Looking at (8-y)/3y + (y+2)/9y - (2/6)y again, we see three different denominators:  3y, 9y and 6 y.  The LCD here is 9y.  Multiplying all three terms of  (8-y)/3y + (y+2)/9y - (2/6)y by the LCD, we get:

3(8-y) + (y+2) + 3y.  We must now divide this by the LCD:

3(8-y) + (y+2) + 3y

--------------------------

            9y

Next we need to perform the indicated multiplication:

24 - 3y + y + 2 + 3y

----------------------------

            9y

and then to combine like terms:

24 + 2 - 3y + y + 3y,           26 + y

----------------------------   or    -----------

              9y                             9y

7 0
3 years ago
Read 2 more answers
Help please !! It’s geometry
Olenka [21]

Answer:

36

Step-by-step explanation:

Since BD is similar to GI, the ratio of the sides of the triangles is 27:3=9:1. This means that BC is 9 times larger than BH, or 4*9=36 units long. Hope this helps!

8 0
3 years ago
Mario is cutting loaves of bread into slices each loaf of bread is 15 centimeters tall, 15 centimeters wide, and 30 centimeters
denis23 [38]
Divide the is 2. but not that sure
5 0
3 years ago
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