Answer:
Perimeter = √40 + 6 + 4√2 + √28
Step-by-step explanation:
As we know that the perimeter of a triangle is the sum of the length of sides.
<em>Perimeter = 4√2 + x + 6 + y</em>
Now for x and y-
<u>I. By Pythagorean theorem in left side right angle triangle-</u>
( 4√2)² = 2² + x²
32 - 4 = x²
x² = 28
x = √28
<u>II. By Pythagorean theorem in Right angle triangle-</u>
y² = 2² + 6²
y² = 4 + 36
y² = 40
y = √40
Hence Perimeter = 4√2 + x + 6 + y
P = 4√2 + √28 + 6 + √40
∴ P = √40 + 6 + 4√2 + √28
Answer:
(6,5)
Step-by-step explanation:
okay so the original point is (1,4). we know 1 is our X which is the one that is going up. and 4 is our Y which is going to the right. if you are moving 5 units to the right you will add 5 to 1 (our original x) which equals 6. And going 1 unit up our original Y is 4 so we add the 1 and now we get 5. our new point is (6,5)
Answer:
- a) 3
- b) 6
- c) 9
- d) the outputs are 3 times as far apart as the inputs
Step-by-step explanation:
(a) "x" in considered to be the input to the function f(x). The variable(s) in parentheses as part of the function name are the inputs. The function value itself is the output.
That is, for an input (x-value) of 0, the output (f(0)) is 5. For an input of 1, the output (f(1)) is 8. These input values (0 and 1) are 1 unit apart: 1 - 0 = 1. The corresponding output values are 3 units apart: 8 - 5 = 3.
(b) Inputs -1 and 1 are 2 units apart (1-(-1)=2). The corresponding output values, 2 and 8, are 6 units apart. (8-2=6)
(c) Inputs 0 and 3 are 3 units apart. The corresponding output values, 5 and 14, are 9 units apart.
(d) The ratio of output differences to input differences can be seen to be ...
... 3/1 = 6/2 = 9/3 = 3
Output differences are 3 times input differences.
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<em>Comment on the problem</em>
These ratios are constant everywhere, so the function is considered to be "linear." The ratio is the "slope" of the line you see when the function is graphed.
Answer:
$422.80
Step-by-step explanation: