Answer:
The correct option is C) Yes; the change in x is constant and the change in y is constant.
Step-by-step explanation:
Consider the table shown.
x y
0 8
1 1
2 -6
3 -13
Now observe the changes in x and y coordinates, if changes are constant then the given function is linear.
Consider the change in x coordinate.
1-0=1, 2-1=1 and 3-2=1
Now consider the change in y coordinate.
1-8=-7, -6-1=-7 and -13-(-6)=-13+6=-7
Since the change in x and y is constant the given relationship is linear.
Therefore, the correct option is (C) Yes; the change in x is constant and the change in y is constant.
Her brother would have been 16, which is half of 32 and now he would be 18 years old
You can converte them to a common denominator like 6. 1/2 would be 3/6. 2/3 would be 4/6.
Answer:
![x=\sqrt{13}](https://tex.z-dn.net/?f=x%3D%5Csqrt%7B13%7D)
Step-by-step explanation:
Base of the isosceles triangle = 4
Perpendicular of the triangle = 3
In an isosceles triangle , a perpendicular bisects a base equally. So, here the isosceles triangle consist of 2 right angled triangles.
In that right angled triangles,
Base = 4/2 = 2 (∵ A perpendicular divides a base into 2 equal parts. )
Perpendicular = 3
Hypotenuse = x
So , according to Pythagorean Theorem ,
![Hypotenuse = \sqrt{Base^2 + Perpendicular^2}](https://tex.z-dn.net/?f=Hypotenuse%20%3D%20%5Csqrt%7BBase%5E2%20%2B%20Perpendicular%5E2%7D)
Using all the values above into the formula gives :-
![x =\sqrt{2^2 + 3^2} = \sqrt{4+9} =\sqrt{13}](https://tex.z-dn.net/?f=x%20%3D%5Csqrt%7B2%5E2%20%2B%203%5E2%7D%20%3D%20%5Csqrt%7B4%2B9%7D%20%3D%5Csqrt%7B13%7D)