Answer:
it is a 60 30 90 triangle so basically 2y is = x
21² + y² = x²
441 + y² = x²
y = x/2 (2y = x)
441 + x²/4 = x²
4x² = 1764 + x²
3x² = 1764
x = exact is 24.248711306 simplied square root would just be 14√3
2y = 14√3
y = 7√3
exact wouldd be 12.124355653
Answer:
slope is -1/4
y intercept is 11/2
Step-by-step explanation:
the slope is (3-5)/(10-2) = -2/8 = -1/4 (using the slope formula)
the y intercept we can set up an equation, y= mx + b
we already know m, which is -1/4 (the slope), and to find b, we could just plug in one of the points to get
5 = (-1/4)*2+b
solve the equation
b = 11/2
Answer:
(A) 49
Explanation:
Given that the fractions are in their simplest form. So below the denominator cannot be a multiple of 3, 4, 5.
Breakdown:
Looking at option A (49), it is not a multiple of 3, 4, 5. So k can be 49.
Option B (50) is a multiple of 5. An even number like 4 so can be simplified.
Option C (51) is a multiple of 3 so can be simplified more. 3/51 = 1/17.
Option D (52) is an even number like 4 so can be simplified. 4/52 = 1/13.
Answer: -2/7
This value is a fraction.
----------------------------------
Work Shown:
The first two rows in the table produce these two points (x1,y1) = (-14,8) and (x2,y2) = (-7,6)
So, x1=-14, y1=8, x2=-7, and y2=6
Plug these four values into the slope formula and simplify
m = (y2 - y1)/(x2 - x1)
m = (6 - 8)/(-7 - (-14))
m = (6 - 8)/(-7 + 14)
m = -2/7