Answer:
A. y=-1/4x
Step-by-step explanation:
We have the information 3y=12x-9, the lines are perpendicular, and the new line passes through (-4,1). First, you want to put the original equation into slope intercept form by isolating the y, to do this we need to divide everything by 3 to get y=4x-3. The slopes of perpendicular lines are negative reciprocals so you need to find the negative reciprocal of 4, so flip it to 1/4 and multiply by -1, we get the slope of the new line as -1/4. So far we have the equation y=-1/4x+b. We are given a point on the line, (-4,1), we can plug these into the equation as x and y to solve for the y-intercept, b. You set it up as 1=-1/4(-4)+b. First you multiply to get 1=1+b, then you subtract 1 from both sides to isolate the variable and you get b=0. Then you can use b to complete your equation with y=-1/4x, or letter A.
Answer:
40
Step-by-step explanation: Total distance = 60 miles
Total time = 30 / 30 + 30/60 = 3/2
Avg. speed = 40.
The answer is 40 because if you do simple division you will get that 800/20 is 40
Answer:
6
Step-by-step explanation:
See image below:)
The new translated function will be more towards the origin , as the value of length is decreased , Option C is the right answer.
<h3>What is a Function ?</h3>
A function is a mathematical statement used to relate a dependent and an independent variable.
It is given that
Area of a Rectangle is 10 sq. unit
Width of the Rectangle is x unit
Length is given by
l(x) = 10 / x
When the length of the Rectangle is increased by 1 ,
The new function will be
l(x) = 10 /(x+1)
The new translated function will be more towards the origin , as the value of length is decreased ,
This is represented by Graph 3 ,
This can be proved by keeping the value of x
let x = 2
y = 10 /3 = 3.333
This is only in the graph 3 , Therefore Option C is the right answer.
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