Answer:
y=3x-9
Step-by-step explanation:
Hi there!
we are given a point (4,3), and a line (y=-1/3x+4)
Perpendicular lines have slopes that are negative and reciprocal; if they are multiplied together, the result is -1
first, let's find the slope of the new line.
we can find it with this formula: (m=slope)
-1/3m=-1
multiply both sides by -3
m=3
here's our equation so far, written in y=mx+b form, where m is the slope and b is the y intercept
y=3x+b
we need to find b
Because the line passes through the point (4,3), we can use it to find b
substitute x as 4 and y as 3
3=3(4)+b
multiply
3=12+b
-9=b
substitute into the equation
<u>y=3x-9</u>
Hope this helps!
Answer:
13.65 ≤ x < 13.75
Step-by-step explanation:
Let x represent the time in seconds. Since the time is 13.7 seconds when rounded to 1 decimal place, hence for this to be possible the minimum value of x is given as x ≥ 13.65 because 13.65 rounded to 1 decimal place is 13.7 seconds. Also, the maximum value of x is given as 13.75 because 13.75 rounded to 1 decimal place is 13.8 seconds.
Therefore the inequality to represent x is:
13.65 ≤ x < 13.75
I think it would just me 20 +72m, since it is already simplified
Answer:
The distance between the two stars in miles is 5.292 * 10^10 miles
Step-by-step explanation:
Here, we want to make a conversion from light year to miles
To make this conversion, we simply are going to multiply the light year by the miles
Mathematically, we have this as;
9 * 10^-3 * 5.88 * 10^12
= 52.92 * 10^9
= 5.292 * 10^10 miles
To determine the ratio that would perfectly illustrate the given above, we need to have these numbers such that they would have the same unit. It is to be noted that every year is composed of 12 months. Converting 24 months to years,
n = (24 months)(1 year/12 months) = 2 years
Hence, the ration should be 2 years is to 3 years which is equal to 2:3.
Answer: 2:3
