Answer:
Formation of Elements: Protons + Neutrons combine to form the nucleus of an atom (basic unit of matter), electrons (- charge) orbit nucleus attracted to protons (+ charge)
That's a question about the Pythagorean Theorem.
We use the Pythagorean Theorem to find the value of one side in a right triangle.
This theorem says that:
![\boxed{a^2 = b^2 + c^2}](https://tex.z-dn.net/?f=%5Cboxed%7Ba%5E2%20%3D%20b%5E2%20%2B%20c%5E2%7D)
- <em>a</em> is the hypotenuse (It's the opposite side the right angle).
- <em>b</em> and <em>c </em>are cathetus (They're the adjacent sides the right angle).
Okay, now, let's go to solve this problem! In our figure, we have two cathetus. Their values are 10 and 7 and we have to find the value of <em>x </em>(the hypotenuse). Let's change this information in that formula.
![a^2 = b^2 + c^2\\x^2 = 10^2 + 7^2\\x^2 = 100 + 49\\x^2 = 149\\x = \sqrt{149}](https://tex.z-dn.net/?f=a%5E2%20%3D%20b%5E2%20%2B%20c%5E2%5C%5Cx%5E2%20%3D%2010%5E2%20%2B%207%5E2%5C%5Cx%5E2%20%3D%20100%20%2B%2049%5C%5Cx%5E2%20%3D%20149%5C%5Cx%20%3D%20%5Csqrt%7B149%7D)
Therefore, the value of <em>x </em>is
.
I hope I've helped. :D
Enjoy your studies! \o/
Answer:
See below.
Step-by-step explanation:
Party A
y = x^2 + 1
For each value of x in the table, substitute x in the equation with that value and evaluate y.
x = -2: y = (-2)^2 + 1 = 4 + 1 = 5
x = -1: y = (-1)^2 + 1 = 1 + 1 = 2
Do the same for x = 0, x = 1, x = 2
x y
-2 5
-1 2
0 1
1 2
2 5
Part B
Look at points (-2, 5) and (-1, 2). The change in x from (-2, 5) to (-1, 2) is 1. The change in y is -3.
Now let's look at two other points which have a change in x of 1. Look at points (0, 1) and (1, 2). The change in x from (0, 1) to (1, 2) is 1. The change in y is 1.
You can see that for the first two points, a change of 1 in x produces a change of -3 in y, but for the second two points, the same change of 1 in x produce a change of 1 in y. Since the same change of x does not always produce the same change in y, the function is nonlinear.
Answer: A
45.6
Step-by-step explanation:
i am super smart
21x-y-49=0 is the equation