All categories

2 years ago

The difference of two positive numbers is 5 and the sum of their squares is 233. What are the numbers?

Mathematics

1 answer:

nataly862011 [7]2 years ago

6 0

Answer:

13 and 8

Step-by-step explanation:

a-b = 5

==> a = b+5

a^2 + b^2 = 233

plug in a = b+5: (b+5)^2 + b^2 = 233

b^ + 10b + 25 + b^2 = 233

2b^2 + 10b -208 = 0

use the quadratic formula:

b = 8 or -13 (-13 doesn't work cuz it asks for positive numbers)

so if b = 8, then a = 5+b = 5+8 = 13

You might be interested in

there is a line that includes the point (1,5) and has a slope of 15. what is its equation in slope-intercept form?

olchik [2.2K]

Answer:

y = 15x - 10

Step-by-step explanation:

slope is given: 15

(x, y) is given: (1, 5)

plug values into y = mx + b:

5 = (15)(1) + b

solve for b:

b + 15 = 5

b = -10

rewrite the equation:

y = 15x - 10

7 0

3 years ago

Help please n ty :P<br> sdhgfahedgewkgfzndb

Ugo [173]

Answer:

$y=-3.2\\\\y=-2.2\\\\y=-1.8$

Step-by-step explanation:

Insert the given x values for the given equation to find the corresponding y coordinate:

$y=0.2x-2$

$x:-6,-1,1$

Insert -6:

$y=0.2(-6)-2$

Simplify multiplication (when multiplying a negative and a positive, the result will always be negative):

$y=-1.2-2$

Simplify (when subtracting from a negative number, add the values, but keep the negative symbol):

$y=-3.2$

Insert -1:

$y=0.2(-1)-2\\\\y=-0.2-2\\\\y=-2.2$

Insert 1:

$y=0.2(1)-2\\\\y=0.2-2\\\\y=-1.8$

:Done

3 0

3 years ago

Factor each expression <br> 31

katrin2010 [14]

You can’t factor 31 since it’s a prime number luv

8 0

3 years ago

six times a number is greater than 20 mare than that number. what are the possible values of that number

algol13

Answer:

x > 4

Suppose that x is some number so 6 times a number is 6*x. 20 more than that number is 20 + x. If you put it together the inequality would be 6x > 20 + x. Subtracting x from both sides would result in 5x > 20. Dividing by 5 gives you x > 4 which is the final answer. So the possible values of that number is anything greater than 4.

4 0

3 years ago

Read 2 more answers

Which expression is equivalent to 2x2 – 2x + 7?

diamong [38]

11-2x would be the answer u are looking for. Hope this helps!

4 0

3 years ago

Read 2 more answers