Step-by-step explanation:
For g(x) = f(x) + 5:
Because f(x) = x, this can be simplified to:
y = x + 5
For h(x) = 2 * f(x) - 3, simplified to:
2*x - 3 or 2x - 3
For j(x) =
, simplified it is

For f(x), this can be drawn relatively easy, it is a linear line starting at the coordinates (0,5) gradually increasing by 1 in both the y and x axis. It can be drawn parallel to the line given in your question just one above.
For h(x), the line will start at (0, -3) but then have an incline of 2, i.e. the second point would be at 1, -1, and the third at (3, 3). This is because you are doubling the value of x but subtracting 3.
For j(x), x is halved so the line will be less steep although it will start at the coordinate (0, -1) because 1 is being subtracted.
Hope this helps!
Answer:
114/430 not that hard
Step-by-step explanation:
this is the definition of it:
In mathematics, the Pythagorean theorem, also known as Pythagoras' theorem, is a fundamental relation in Euclidean geometry among the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
Answer:

Step-by-step explanation:
Please find the attachment.
We have been given that ABC is a right triangle with sides of lengths a, b, and c and right angle at C.
To find the side length a, we will Pythagoras theorem, which states that the sum of squares of two legs of a right triangle is equal to the square of the hypotenuse of right triangle.
Upon substituting our given values in Pythagoras theorem, we will get:
Take square root of both sides:
Therefore, the length of side 'a' is
units.
We know that tangent relates opposite side of a right triangle with adjacent side.

We can see that 'a' is opposite side of angle A and 'b' is adjacent side.


Therefore, the value of tan(A) is
.