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Art [367]
2 years ago
10

The difference of two numbers is 3 and the sum of their squares is 65. find the numbers.

Mathematics
2 answers:
kenny6666 [7]2 years ago
6 0
Eg. x is the first number, y is the second number

The equation
x - y = 3
x² + y² = 65

Use subtitution to find y
x - y = 3
x = y + 3

x² + y² = 65
(y + 3)² + y² = 65
y² + 6y + 9 + y² = 65
2y² + 6y - 56 = 0
y² + 3y - 28 = 0
(y + 7)(y - 4) = 0

y = -7 or y = 4

Find x with y
If y = -7
x = y + 3
x = -4

If y = 4
x = y + 3
x = 7

So the numbers are 7 and 4, or -7 and -4
Vitek1552 [10]2 years ago
5 0
<span>The numbers are 4 and 7
j^2+k^2=65

4^2+7^2=65
16+49=65
65=65
hope i helped</span>
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What is the distance between -2 1/2, -5 3/4
Leviafan [203]

Answer:

Step-by-step explanation:

it's kinda confusing b/c of the minus signs.. huh...  but -5 is less than -2 sooo

start with

-2 1/2  - (-5 3/4 )

=5 3/4 - 2 1/2

=5 3/4 - 2 2/4

=23/4 - 10/4

=13/4

there you go...  :)

if you want it back in proper fractions

3 1/4

8 0
3 years ago
If x represents an even number, which expression represents an odd number?
Sauron [17]
Test the choices !
Pick an even number, and see what each choice does to it.

Let's start with, say,  6 .
We'll try each choice, and see which one produces an odd number:

a).  6 to the 2nd power. . . . . .  6 x 6 = 36.  That's not an odd number.

b).  6 + 3  =  9  This could be it.  9 is odd. We'll save this one.

c).  3·6 = 18.  That's not an odd number.

d).  6/3 = 2.  That's not an odd number.

The only one that gave us an odd number is (b).


3 0
3 years ago
In a manufacturing process, a random sample of 36 bolts has a mean length of 3 inches with a standard deviation of .3 inches. Wh
Liula [17]

The 99 percent confidence interval for the true mean length of the bolt is CI = (2.8712, 3.1288)

<h3>How to find the confidence interval?</h3>

Confidence Interval is used to tell us the degree of certainty or uncertainty that is existent in a sampling method.

The general formula for confidence interval is;

CI = x' ± z(s/√n)

where;

x' is sample mean

z is z-score at confidence level

s is sample standard deviation

n is sample size

We are given;

sample size; n = 36

Sample mean; x' = 3 inches

standard deviation; s = 0.3 inches

confidence level = 99%

z at 99% CL = 2.576

Thus;

CI = 3 ± 2.576(0.3/√36)

CI = 3 ± 0.1288

CI = (2.8712, 3.1288)

Read more about Confidence Interval at; brainly.com/question/17097944

#SPJ1

3 0
1 year ago
Answer 1,2 and 3 and challenge thank you
Nadusha1986 [10]
NUMBER 2 is 240 because 6 times 4 times 10 is equal to 240. I am still working on the others
7 0
3 years ago
Is -2.25 - (-3) a positive number
Zielflug [23.3K]

Answer:

Yes it is

Step-by-step explanation:

The answer is 0.75

-2.25-(_3)

_2.25 +3

=0.75

6 0
2 years ago
Read 2 more answers
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