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ArbitrLikvidat [17]
2 years ago
7

30 points ! Please answer the question in the picture

Mathematics
1 answer:
vaieri [72.5K]2 years ago
8 0

Answer:

thatl be 5

Step-by-step explanation:

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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

(x-1)(x+8)=0

Then:

x_1=1\\x_2=-8

Let's check if the first solution is correct:

\sqrt{17-(1)}=(1)+3

4=4 (It checks)

Let's check if the second solution is correct:

\sqrt{17-(-8)}=(-8)+3

5\neq-5 (It does not checks)

Therefore, the solution is:

x=1

3 0
3 years ago
Im not sure how to do this 5×(−2w−4)
Mama L [17]

Answer:

-10w-20

Step-by-step explanation:

Distribute inside parenthesis,

5x 2w

5x-4

4 0
2 years ago
Read 2 more answers
What is the product of -2/7 and -3/7?
iren [92.7K]

Answer:

The answer is 6/49, I hope this helps.

7 0
2 years ago
What is 321.5 Kilometers per hour converted to MPH
inessss [21]
321.5\ kmph\approx\boxed{199.770777\ mph}

By the way, Google has a built in calculator. You can just type in "321.5 kmph in mph" and it will come up with this answer.

You could also use the fact that 1\ km\approx0.621371\ mi,
According to the properties of equality, if you have two equal expressions and you change them in the same way, the results wil also be equal.
So that means we can multiply each side by 321.5 and get our answer above.
6 0
3 years ago
If you pull a random card from a deck and keep it, and then pull another card, are the two events independent or dependent ?
serious [3.7K]
The events are dependent
5 0
2 years ago
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