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dem82 [27]
2 years ago
7

If

x^{2} + y^{2} = 6" align="absmiddle" class="latex-formula"> and x + y = \sqrt{7}, then what is x-y?
Mathematics
1 answer:
beks73 [17]2 years ago
5 0

Recall that

(x + y)² = x² + 2xy + y²

Then if x + y = √7 and x² + y² = 6, we have

(√7)² = 6 + 2xy   ⇒   2xy = 1

We also have

(x - y)² = x² - 2xy + y²

so that

(x - y)² = 6 - 1   ⇒   (x - y)² = 5

which means x - y has two possible values, √5 or -√5.

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James uses the Distributive Property to find how many cans of paint are in the art supply closet. There are 5 boxes in the close
julia-pushkina [17]

Answer:

70 cans of paint

Step-by-step explanation:

We are told in the question that:

1 box holds = 14 cans of paint

5 boxes =

Cross Multiplying

5 boxes will hold = 5 × 14

= 70 cans of paint

This question, requires that we use Distributive property

Distributive property states that: when 2 factors or numbers are multiplied together the result will be the same as splitting on of the numbers(factors) into two distinct numbers, multiplying both number by the other factor, and adding together both products.

Applying the definition above to solve the question, we would be splitting the number of boxes which is 5 into 2 distinct number = 2 and 3

As , 2 + 3 = 5

Hence, we have:

14 × 5 = 14( 2 + 3)

70 = 28 + 42

70 cans of paint = 70 cans of paint.

The numbers of cans of paint that are in the art supply closet is 70 cans of paint

5 0
3 years ago
What is the nth term for the sequence 5, 11, 19 29, 41,....
Mila [183]
The answer would be 55 because the sequence it`s going by is adding 2 to the number you`re adding up by. So for example, 5+6 =11, 11+8=19, 19+10= 29. and 29+12 == 41, so the next one would be 41+14=55. Does that makes sense?

4 0
3 years ago
I need help.<br> 3. Simplify.
omeli [17]
2. 8<span>√17

I hope this helps you out 4sunmoonstar!</span>
4 0
4 years ago
Read 2 more answers
Pls help with this, thank u
hjlf
There was 421 children. Dont open or download any links.
8 0
3 years ago
A line's graph is shown. Write an equation for the line.​
MAXImum [283]

Answer:

y = 1

Step-by-step explanation:

Given

Attached graph

Required

The graph equation

Pick any two points, we have:

(x_1,y_1) = (1,1)

(x_2,y_2) = (3,1)

Calculate slope (m)

m = \frac{y_2 - y_1}{x_2 - x_1}

m = \frac{1 - 1}{3 - 1}

m = \frac{0}{2}

m = 0

The equation is then calculated using:

y = m(x - x_1) + y_1

This gives:

y = 0* (x - x_1) + 1

y = 1

Hence, the equation is:

y = 1

3 0
3 years ago
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