Write each fraction or mixed number as a decimal 5/25
1 answer:
You might be interested in
Answer:
y = -x + 11
Step-by-step explanation:
The equation of a straight line is is given by:
y = mx + b; where m is the slope and b is the y intercept
The equation of the line joining G(9, 8) and H(3, 2) is given as:
The perpendicular bisector of the line joining G(9, 8) and H(3, 2) is perpendicular to the line joining G(9, 8) and H(3, 2) and passes through the midpoint of line joining G(9, 8) and H(3, 2).
Let (x, y) be the midpoint of the line joining G(9, 8) and H(3, 2). Hence:
x = (9 + 3)/2 = 6
y = (8 + 2)/2 = 5
The midpoint = (6, 5)
Two lines are perpendicular if the product of their slopes is -1.
The line joining G(9, 8) and H(3, 2) has a slope of 1, hence, the slope of the perpendicular bisector would be -1.
This means that the perpendicular bisector has a slope of -1 and passes through (6, 5). Using:
The equation of the perpendicular bisector is y = -x + 11
Explanation![\begin{gathered} f(19)=\frac{3}{19+2}-\sqrt[]{19-3}, \\ \\ f(19)=\frac{3}{21}-\sqrt[]{16}, \\ \\ f(19)=\frac{1}{7}-4, \\ \\ f(19)=\frac{1-28}{7}, \\ \\ f(19)=-\frac{27}{7}\text{.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20f%2819%29%3D%5Cfrac%7B3%7D%7B19%2B2%7D-%5Csqrt%5B%5D%7B19-3%7D%2C%20%5C%5C%20%20%5C%5C%20f%2819%29%3D%5Cfrac%7B3%7D%7B21%7D-%5Csqrt%5B%5D%7B16%7D%2C%20%5C%5C%20%20%5C%5C%20f%2819%29%3D%5Cfrac%7B1%7D%7B7%7D-4%2C%20%5C%5C%20%20%5C%5C%20f%2819%29%3D%5Cfrac%7B1-28%7D%7B7%7D%2C%20%5C%5C%20%20%5C%5C%20f%2819%29%3D-%5Cfrac%7B27%7D%7B7%7D%5Ctext%7B.%7D%20%5Cend%7Bgathered%7D)
Answer
This exercise is about evaluating a function at a particular argument. To do that, we replace the variable with the argument in the formula of the function, and simplify.
Let's do that: