Answer:
11
Step-by-step explanation:
8x - 3(-z - y)
Substitute
8(1) - 3(-(-2) - 3)
Simplify
8 - 3(-1)
Multiply
8 + 3
Add
11
H(x) = 1/4x would be the inverse
Answer:
The perimeter (to the nearest integer) is 9.
Step-by-step explanation:
The upper half of this figure is a triangle with height 3 and base 6. If we divide this vertically we get two congruent triangles of height 3 and base 3. Using the Pythagorean Theorem we find the length of the diagonal of one of these small triangles: (diagonal)^2 = 3^2 + 3^2, or (diagonal)^2 = 2*3^2.
Therefore the diagonal length is (diagonal) = 3√2, and thus the total length of the uppermost two sides of this figure is 6√2.
The lower half of the figure has the shape of a trapezoid. Its base is 4. Both to the left and to the right of the vertical centerline of this trapezoid is a triangle of base 1 and height 3; we need to find the length of the diagonal of one such triangle. Using the Pythagorean Theorem, we get
(diagonal)^2 = 1^2 + 3^2, or 1 + 9, or 10. Thus, the length of each diagonal is √10, and so two diagonals comes to 2√10.
Then the perimeter consists of the sum 2√10 + 4 + 6√2.
which, when done on a calculator, comes to 9.48. We must round this off to the nearest whole number, obtaining the final result 9.
9514 1404 393
Answer:
axis of symmetry: x = 2
see below for a graph
Step-by-step explanation:
You can complete the square to put the equation in vertex form.
y = (x^2 -4x +4) -1 -4
y = (x -2)^2 -5 . . . . . . vertex is (2, -5)
The equation of the axis of symmetry is the equation of the vertical line through the vertex:
x = 2 . . . . . axis of symmetry
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Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.
