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sertanlavr [38]
3 years ago
7

Can someone please answer. There is a picture. There is only one problem. Thank you so much!!!

Mathematics
1 answer:
Alecsey [184]3 years ago
6 0
Hello,
Answer B
(5,0) and (-5,0)
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What is the common difference of an AP which has its first term as 100 and the sum of its first 6 terms = 5 times the sum of its
Inga [223]

Answer:

The common difference of given AP is Option 2) -10.

Step-by-step explanation:

We are given the following information in the question:

First term of AP, a  = 100

The sum of its first 6 terms = 5(the sum of its next six terms)

We have to find the common difference of AP.

The sum of n terms of AP is given by:

S_n = \dfrac{n}{2}\big(2a + (n-1)d\big)

where a is the first term and d is the common difference.

Thus, we can write:

S_6 = 5 (S_{12}-S_6)\\\dfrac{6}{2}\big(200 + (6-1)d\big) = 5\bigg(\dfrac{12}{2}\big(200 + (12-1)d\big)-\dfrac{6}{2}\big(200 + (6-1)d\big)\bigg)\\\\600 + 15d =5(1200+66d-600-15d)\\600+15d=3000+255d\\2400 = -240d\\d = -10

Thus, the common difference of given AP is -10.

7 0
3 years ago
Pls help! fast!! marking brainliest
ehidna [41]

Answer:

X=15ft

Step-by-step explanation:

17²-8²=225

\sqrt{225}

=15

5 0
3 years ago
Does anyone understand how to do this? If you do can you explain how I solve it and receive the answer?
UNO [17]

Answer:

slope-intercept form equation: y = x + 5

Step-by-step explanation:

you take the 2 y's, 18 and -13, then you subtract them: 18 - (-13) = 31

then you take the 2 x's, 13 and -18, subtract them too: 13 - (-18) = 31

divide those 2 sums: 31/31  = 1

so the slope is 1

then when you graph it you get an y-intercept of 5

so the equation is y = x + 5

hope this helps :)

6 0
3 years ago
The original price of a game system was reduced by $99.
Sladkaya [172]
P-99 as you would subtract 99 from original
8 0
3 years ago
What is the equation of the circle shown in the graph ?
Readme [11.4K]

Answer:

The equation of the given circle is X²+y²+4x- 12y+15=0

6 0
3 years ago
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