Pythagorean theorem - please help
1 answer:
answer:
x = 4 or 5.6568
step-by-step explanation:
- know the formula and plug in
formula: a^2 + b^2 = c^2
- now plug in what we have
- whatever the RIGHT ANGLE points to is the HYPOTENUSE or c
- the other two sides are the "legs" or a and b
a^2 + b^2 = c^2
7^2 + b^2 = 9^2
49 + b^2 = 81
b^2 = 32
b = 4
- in this case, b would be used as x
x = 4 or 5.6568 (exact value)
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Answer:
Step-by-step explanation:
Given functions are:
We have to find:
(s.t)(x) => this means we have to multiply the two functions to get the result.
So,
Also we have to find
(s-t)(x) => we have to subtract function t from function s
Also we have to find,
(s+t)(-3) => first we have to find sum of both functions and then put -3 in place of x
Putting x = -3
Hence,
The solution of the system of equations; and <em>x</em> = 4, represented on the graph is the point (4, 1)
The graphs are straight line graphs that can be represented with linear functions.
The points on the graph with blue line are; (2, 0), (0, -1)
The slope, <em>m</em>, is therefore;
m = (0 - (-1))/(2 - 0) = 0.5
From the point, (2, 0), we have;
y = 0.5•(x - 2) = 0.5•x - 1
y = 0.5•x - 1...(1)
The equation of the graph that is constructed with red line is x = 4...(2)
The solution is given by equation (1) when<em> </em><em>x </em>= 4 as follows;
- On the blue line, <em>y</em> = 0.5•x - 1
- On the red line, <em>x </em>= 4
The solution satisfies both lines, and it is the point of intersection. At the solution, therefore;
y = 0.5•x - 1 and <em>x</em> = 4
Which gives;
y = 0.5 × 4 - 1 = 1
At the solution, <em>x </em>= 4, and <em>y </em>= 1, which gives the point, (4, 1)
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