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nasty-shy [4]
3 years ago
7

The legs of an isosceles triangle have lengths x+1 and -x+7 . The base has length 3x-3. What is the length of the base?

Mathematics
1 answer:
mote1985 [20]3 years ago
6 0

The only thing I'm a little unclear on here is what you mean by
the "legs" of an isosceles triangle. 

I'm going to assume that your isosceles triangle is standing on
the side you call the "base", and the "legs" are the two slanty ones,
standing up, which are the two equal sides.

With that set-up,                       x + 1 = -x + 7

Add  x  to each side:               2x + 1 =        7

Subtract  1  from each side:    2x      =        6

Divide each side by  2 :            x       =        3


Finally, if the base is  (3x - 3), then that's  (3·3 - 3)  =  6 .

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Which of the following is an arithmetic sequence?
MaRussiya [10]
Answer: {2, -2, -6, -10}

Arithmetic sequences are defined by a common difference between the numbers that’s both constant and consecutive.

To break it down:

The first option is {-1, 3, -3, -1}, which appears to be alternating, and there is more than 1 difference between the n term values. That is:

-1 to 3 = increase of 4
3 to -3 = decrease of 6
-3 to -1 = increase of 2

Therefore does not follow the definition of an arithmetic sequence.

The second option (the answer) {2, -2, -6, -10} is arithmetic, as it consistently and thus consecutively decreases by 4.

Finally, the last two sequences have the same issue with their pattern, {3, 6, 9, 15}
and {4, 14, 24, 32}. In which they stay constant for the first three n terms, but suddenly change in value on the 4th n term. Therefore, they are not arithmetic.

I hope this helped!
8 0
3 years ago
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ololo11 [35]

Answer:

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Step-by-step explanation:

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8 0
3 years ago
Select all of the ordered pairs that make the inequality y > x2 + 3x – 4 true. (0, 0) (2, 1) (–2, –1) (–5, –1)
fredd [130]
The correct answers are:
___________________________________________________
   [A]:   " (0, 0) " ;   <u>AND</u>:
___________________________________________________
   [C]:  " (-2, -1) " .
___________________________________________________

Explanation:
___________________________________________________

[A]:  " (0, 0) " ;  is correct; 

Since, when "x = 0"  and y = 0 : 

"0 <span> > - 4 " ; which is correct.
</span>___________________________________________________
  [B]:  "(2, 1)" is incorrect,  since:

when "x = 2" and "y = 1" ; 

" 1 > 6"  ; is incorrect.
___________________________________________________
[C]:  "(-2, -1)" ; is correct;

Since, when "x = -2" and y = -1" ; then:

   "-2 <span> > -6 ; which is correct.
</span>___________________________________________________
[D]:  " (-5, -1) " ;  is INCORRECT.

 since when "x = -5" and "y = -1 ;

then:  -1 > 6 ; which is INCORRECT. 
___________________________________________________
8 0
3 years ago
What fraction is greater 1/2 or 6/11
ivolga24 [154]
The greater fraction is 6/11

6/11 = 0.54

1/2 = 0.50

Therefore 0.54 which is 6/11 is greater
7 0
3 years ago
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5 0
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Read 2 more answers
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