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Marizza181 [45]
3 years ago
9

If x-y=1 and xy= 56 then find the value of x+y​

Mathematics
2 answers:
lara31 [8.8K]3 years ago
8 0

Answer:

15

Step-by-step explanation:

First, find the factors of 56

56: 1,2,4,7,8,14,28,56.

Since the problem says, x-y=1, that just proves that the two numbers(x and y) needs to be consecutive. If you apply that thought to the factors of 56, you will discover that the only consecutive pairs of factors are 7 and 8.

Next, you have to check.

8-7=1.

8 times 7 = 56

So, 8+7 should be 15. That is your answer :)

tester [92]3 years ago
3 0

Answer:

x + y = ±15

Step-by-step explanation:

Step 1: Write out systems of equations

x - y = 1

xy = 56

Step 2: Rearrange 1st equation

x = y + 1

Step 3: Substitution

(y + 1)y = 56

Step 4: Distribute

y² + y = 56

Step 5: Solve for <em>y</em>

y² + y - 56 = 0

(y - 7)(y + 8) = 0

y = -8, 7

Step 6: Plug in <em>y </em>to find <em>x</em>

x - 7 = 1

x = 8

x - (-8) = 1

x + 8 = 1

x = -7

Step 7: Find answer

x + y = ?

8 + 7 = 15

-7 + -8 = -15

So both 15 and -15 could be the answer.

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Solve for x your answer must be simplified. -4+x&lt;9
bezimeni [28]

Answer:

x<13

Step-by-step explanation:

To solve this, we want to have the isolate the variable x on the left side, by itself without a coefficient. All we have to do to do this is add 4 to both sides, cancelling out the -4 and getting x<13

8 0
3 years ago
Read 2 more answers
The Washington Monument in Washington, D.C., is about 556 ft. tall. A three-dimensional puzzle of the Washington Monument is 24
Umnica [9.8K]
Set up a ratio. But first convert the height of the puzzle to feet so we are comparing the same unit of measure.


STEP 1
convert 24 inches to feet

12 inches= 1 foot

24 inches= 2 feet


STEP 2
set up ratio.

= 2 feet/556 feet or 2:556
simplify both by 2

= 1 ft/278 ft or 1:278


ANSWER: 1/278 or 1:278 (can be written either way)

Hope this helps! :)
8 0
4 years ago
Please help im struggling on this ​
Ksivusya [100]

Answer:

It looks like you cut off part of the questions...

Step-by-step explanation:

8 0
3 years ago
Please help....
Dominik [7]

Answer:

1 ans 6

2 ans 4

3 ans 8

because if x equals zero then its basic arithmetic

4 0
4 years ago
Write the slope-intercept form of the equation of the line that is parallel to AB and passes through Point X. Show all
DanielleElmas [232]

find y=mx+b for line parallel to AB.

The line that is parallel will have the same slope as line AB:

the slope of line AB is

m=(8-3)/(-10-2)

=5/-12

=-5/12

Since the line going through X is parallel the vertical distance of the new line to AB is the same for all values of the domain(x-axis).

at x=-5 the point X has the y value of 10 which is 4 more than the y value for AB based on the graph.

To find the intercept b of the line going through X that is parallel to AB we just add 4 to the intercept of AB, which is 4 so

4+4=8

7 0
3 years ago
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