Answer:
B. x = 7, y = 4√2
Step-by-step explanation:
Drop a vertical from the upper left corner
This creates a rectangle and a 45-45-90 triangle
The bottom of the rectangle is 3
The legs of the triangle are 4
Therefor
x = 4 + 3
x = 7
For a 45-45-90 triangle
the hypotenuse = leg * √2
y = 4√2
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
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Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
Answer:
y=5/3x-12
slope= 5/3
y-intercept= -12
Step-by-step explanation:
i hope this helps :)
The answer is 7
13-6 is 7
