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Sedbober [7]
3 years ago
12

3.3.25

Mathematics
1 answer:
Kryger [21]3 years ago
4 0

Answer:

16.0 us the answer to that question

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One positive integer is 1 less than twice another. The sum of their squares is 106. Find the integers.
neonofarm [45]
They give us 2 pieces to the puzzle.  Both are positive numbers...x and y.
1.) 1 number is 1 less than twice another number. (x = 2y -1)...and
2.) the sum of their squares is 106.  (x^2 + y^2 = 106).

 substitute the value for x into the second equation.

(2y-1)^2 + y^2 = 106
(2y-1) (2y-1) + y^2 = 106  (use distributive property)
4y^2 - 2y - 2y + 1 + y^2 = 106  (subtract 106 from both sides)
4y^2 - 2y - 2y + 1 + y^2 - 106 = 106 - 106 (combine like terms)
5y^2 - 4y - 105 = 0  (factor)
(y-5) (5y-21) = 0  (set to 0)
y - 5 = 0
y = 5 

substitute the 5 into the equation for y   (x = 2(5) - 1)
           x = 9   if we square 9, we get 81.
subtracted from 106 we have 25...the square root of 25 is 5.

our answers are 5 and 9.
8 0
3 years ago
If a triangle has sides of 8,11, and 13. Is it a right triangle?
Vera_Pavlovna [14]

If a² + b² = c², then the triangle is <u>right</u>.

So we have (8)² + (11)²  <u>?</u>  (13)²

(8)² is 64, (11)² is 121, and (13)² is 169.

So we have 64 + 121 <u>?</u> 169

64 + 121 is 185 and we can see that 185 > 169.

This triangle would not be a right triangle.

In fact, it would be an acute triangle.

So no, it's not a right triangle.

8 0
3 years ago
Please help me with this sum
mihalych1998 [28]
The answer is 1
6 -
6
8 0
3 years ago
I need some help with 12 please
V125BC [204]

Answer:

its C

Step-by-step explanation:

thank me later

5 0
2 years ago
Read 2 more answers
Can someone please help mee?
12345 [234]

Answer:

if m<GFD= 67°, then m<GFE is 113°

6 0
3 years ago
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