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lesantik [10]
3 years ago
10

3) 6 cm 5 cm I 7 cm 5 cm 6 cm

Mathematics
1 answer:
lord [1]3 years ago
6 0

Answer:

29

Step-by-step explanation:

You might be interested in
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
Help ASAP giving BRAINLIEST! Am i correct?
Firlakuza [10]

Answer:

You are correct

Step-by-step explanation:

x - 8 < 23

<em>Add 8 to both sides</em>

x - 8 + 8 < 23 + 8

<em>Simplify</em>

x < 31

Yes, you are correct.

4 0
3 years ago
Jenna solved the equation 2x^2 +5x - 42 = 0 . She stated that the solutions to the equation were 7/2 and -6. Do you agree with J
mr_godi [17]

Answer:

Yes. Her solution is correct.

Step-by-step explanation:

Let's check if Jenna solution is correct:

To solve the equation 2x^2 +5x - 42 = 0, we can use Bhaskara's formula:

D = b^2 - 4ac = 25 + 4*2*42 = 25+336 = 361

sqrt(D) = 19

x1 = (-5 + 19)/4 = 14/4 = 7/2

x2 = (-5 - 19)/4 = -24/4 = -6

We must agree with Jenna's solution, because the values she found as solution are correct: with we replace these values of x in the equation, we will find 0 = 0, which is correct and proves that these values are the solution of the equation.

7 0
3 years ago
Read 2 more answers
What is the slope of the line
BigorU [14]

Answer:

-8/46

Step-by-step explanation:

slope is the change of y over the change in x

-5 - 3 divided by 44 - (-2)

-8/46

4 0
3 years ago
Can two fractions with the same numerator and different denominators be equal?
Ede4ka [16]

Answer:

No

Step-by-step explanation:

You can only have the same denominator

Example:

2                3           5

-       +        -    =      -

9               9            9

8 0
3 years ago
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