Answer:
y = -(5/4)x - (1 3/4)
Step-by-step explanation:
A line parallel to y= -(5/4)x - 6 will have the same slope, -(5/4), but a different value for the y-intercept, which is -6 in this equation. This means we can write:
y = -(5/4)x + b
As klong a b is not -6, the line will be parallel. But we are told that point (5,-8) must be on the new line. That means we need to select a value of b to make that happen. By shifting b, we can move the straight line up or down. To move it so that it goes through (5,8), enter that point in the equation and solve for b:
y = -(5/4)x + b
-8 = -(5/4)*5 + b for (5,-8)
-8 = -(25/4) + b
b = -8 + (25/4)
b = -(32/4)+(25/4)
b = -(7/4) or - 1 3/4
The parallel line that goes through (5,-8) is y = -(5/4)x - 2
Answer:
option a is the answer
Step-by-step explanation:
put the value of x in each expression as x = -2
you'll see that in option a the expression becomes

which is not defined. hence -2 is excluded value
Answer:
Step-by-step explanation:
![-2\dfrac{1}{3}-1\dfrac{1}{3}=-2\dfrac{1}{3}+\left(-1\dfrac{1}{3}\right)=-\left(2\dfrac{1}{3}+1\dfrac{1}{3}\right)\\\\=-\bigg[(2+1)+\left(\dfrac{1}{3}+\dfrac{1}{3}\right)\bigg]=-\left(3+\dfrac{1+1}{3}\right)\\\\=-3\dfrac{2}{3}](https://tex.z-dn.net/?f=-2%5Cdfrac%7B1%7D%7B3%7D-1%5Cdfrac%7B1%7D%7B3%7D%3D-2%5Cdfrac%7B1%7D%7B3%7D%2B%5Cleft%28-1%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%3D-%5Cleft%282%5Cdfrac%7B1%7D%7B3%7D%2B1%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5C%5C%5C%5C%3D-%5Cbigg%5B%282%2B1%29%2B%5Cleft%28%5Cdfrac%7B1%7D%7B3%7D%2B%5Cdfrac%7B1%7D%7B3%7D%5Cright%29%5Cbigg%5D%3D-%5Cleft%283%2B%5Cdfrac%7B1%2B1%7D%7B3%7D%5Cright%29%5C%5C%5C%5C%3D-3%5Cdfrac%7B2%7D%7B3%7D)
Answer:
8cm²
Step by step explanation:
A= ½×4cm×4cm
A= ½×16cm²
A= 8cm²