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3 years ago

How many protons are in an element with an atomic number of 8 and a mass number of 18?

Mathematics

2 answers:

Orlov [11]3 years ago

8 0

A)8,atomic number also means proton number

aleksandrvk [35]3 years ago

4 0

Since the atomic number is 8 that will be the number of protons given that the element is a neutral element meaning that the number of protons and electrons are the same. Therefore the answer is 8

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3 years ago

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Schach [20]

Answer: $(2,2)$

Step-by-step explanation:

1. Substitute $y=0$ into first equation and solve for "x" in order to find the x-intercept of the first line:

$0=-\frac{1}{2}x+3\\\\-3=-\frac{1}{2}x\\\\(-3)(-2)=x\\\\x=6$

2. Substitute $x=0$ into the first equation and solve for "y" in order to find the y-intercept of the first line:

$y=-\frac{1}{2}(0)+3\\\\y=3$

Knowing that first line passes through the points $(6,0)$ and $(0,3)$ , you can graph it.

3. Substitute $y=0$ into second equation and solve for "x" in order to find the x-intercept:

$0=2x-2\\\\2=2x\\\\x=1$

4. Substitute $x=0$ into the second equation and solve for "y" in order to find the y-intercept of the second line:

$y=2(0)-2\\\\y=-2$

Knowing that second line passes through the points $(1,0)$ and $(0,-2)$ , you can graph it.

The solution of the system of equations is the point of intersection between the lines. Therefore, the solution of this system is:

$(2,2)$

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3 years ago

Which equation represents the circle described?

bazaltina [42]

We have the equation:

$x^2+y^2-8x-6y+24=0$

By arranging this equation in terms of x and y, we have:

$x^2-8x+y^2-6y=-24 \\ \\$

By using the method of completing the square, we have:

$x^2-8x+\mathbf{\left(\frac{8}{2}\right)^2}+y^2-6y+\mathbf{\left(\frac{6}{2}\right)^2}=-24+\mathbf{\left(\frac{8}{2}\right)^2}+\mathbf{\left(\frac{6}{2}\right)^2} \\ \\ x^2-8x+\mathbf{16}+y^2-6y+\mathbf{9}=-24+\mathbf{16}+\mathbf{9} \\ \\ \boxed{(x-4)^2+(x-3)^2=1}$