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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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Answer:

GK=JK

Step-by-step explanation:

SSS congruency  is side-side-side congruency. We are given that GH=JH and KH=KH, which are both sides.

For SSS, we need 3 pairs of congruent sides. We already have 2 pairs.

The options are:

<G=<J

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GK=JK

the first two options, <G=<J and <H=<H are talking about congruent angles. We don't need to know about congruent angles for SSS

GK=JK is talking about a pair of congurent sides. Then, we would have 3 pairs of congruent sides, satisfying the criteria needed for SSS. Therefore, we must know that GK=JK.

Hope this helps!

3 0
3 years ago
Two factory plants are making TV panels. Yesterday, Plant A produced 7000 fewer panels than Plant B did. Four percent of the pan
amid [387]

Step-by-step explanation:

17000

Let the number of panels Plant B produced be x.

7000(0.04)+0.02x=620 \\ \\ 0.02x=340 \\ \\ x=17000

8 0
2 years ago
What is 8777 divided by 456​
zimovet [89]
Your answer is 19.25.
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3 years ago
Matt Ali deposited $25,000 in a savings account. The account earns 5.5 percent interest compounded daily. Use the formula “ Amou
katen-ka-za [31]

Answer:

A) Amount = $ 116,601.31

B) Compound Interest = $ 91,601.31

Step-by-step explanation:

Compound interest Formula

A = P(1 + r/n)^nt

Where

P = Initial amount invested = $25,000

r = interest rate = 5.5 %

n = Compounding frequency = daily

t = time in years = 28 years

A). What amount will he have in his account 28 years later ?

First, convert R percent to r a decimal

r = R/100

r = 5.5%/100

r = 0.055 per year,

Then, solve our equation for A

A = P(1 + r/n)^nt

A = 25,000.00(1 + 0.000150685/365)^(365)(28)

A = $ 116,601.31

B.) How much will be compound interest ?

I = Amount - Principal

A(Amount ) = $ 116,601.31

P (principal) = $ 25,000.00

I = $ 116,601.31 - $ 25,000.00

I (interest) = $ 91,601.31

6 0
3 years ago
WILL MARK BRAINLIEST What is the equation of the line shown in this graph?
barxatty [35]

Answer:

-2

Step-by-step explanation:

6 0
3 years ago
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