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3 years ago

7. How many solutions does the given system have?

Mathematics

2 answers:

Tasya [4]3 years ago

7 0

It’s a because it’s only one solution

ale4655 [162]3 years ago

3 0

Answer:

C infinite solutions

Step-by-step explanation:

First put both equations in the form of y=mx+b then you will get the same equation in both. Since both equations are the same they intersect at all the points which means this system has infinite solutions.

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Factorise 9w² - 100

ohaa [14]

Answer:

$9\, w^{2} - 100 = (3\, w - 10) \, (3\, w + 10)$ .

Step-by-step explanation:

Fact:

$\begin{aligned} & (a - b)\, (a + b)\\ =\; & a^{2} + a\, b - a\, b - b^{2} \\ =\; & a^{2} - b^{2} \end{aligned}$ .

In other words, $(a^{2} - b^{2})$ , the difference of two squares in the form $a^{2}$ and $b^{2}$ , could be factorized into $(a - b)\, (a + b)$ .

In this question, the expression $(9\, w^{2} - 100)$ is the difference between two terms: $9\, w^{2}$ and $100$ .

$9\, w^{2}$ is the square of $3\, w$ . That is: $(3\, w)^{2} = 9\, w^{2}$ .
On the other hand, $10^{2} = 100$ .

Hence:

$9\, w^{2} - 100 = (3\, w)^{2} - (10)^{2}$ .

Apply the fact that $a^{2} - b^{2} = (a - b) \, (a + b)$ to factorize this expression. (In this case, $a = 3\, w$ whereas $b = 10$ .)

$\begin{aligned}& 9\, w^{2} - 100 \\ =\; & (3\, w)^{2} - (10)^{2} \\ = \; & (3\, w - 10)\, (3\, w + 10)\end{aligned}$ .

8 0

2 years ago

A die is tossed. find the odds against rolling a number greater than 2.

alex41 [277]

Umm what do you mean can you explain more of it 2 me plz

3 0

3 years ago

Help pls ill give extra points

Sergeu [11.5K]

I believe it is positive so option 2

7 0

2 years ago

Read 2 more answers

3. Rachel has saved $485. She is starting a part-time job that pays her $300 a week, and she plans to save all of the money she

Degger [83]

Answer:

i believe its C

Step-by-step explanation:

3 0

3 years ago

Please helpppppppppp include step by step

balandron [24]

Answer:

507

Step-by-step explanation:

As they said, I will be using 3 as pi.

$3$ (pi) $* (\frac{26}{2})^2$ (radius squared)

Without annotations: $3*\frac{26}{2}^2$

$3*\frac{26}{2}^2$

$3*13^2$ ; $13*13=169$

$3*169$

$507$

5 0

2 years ago