Find the distance between the parallel lines m and n whose equations are

1 answer:

8 0

Answer:Find the distance between the parallel lines m and n whose equations are y = x + 4 and y = x - 6, respectively.

There are several ways to do this...here's one

Let (0, 4) be a point on the first line

Then.......a line with a negative reciprocal slope going through this point will have the equation :

y = -x + 4........so......we can find the intersection of this line with y = x - 6....set both equations equal

-x + 4 = x - 6 add x, 6 to both sides

10 = 2x divide both sides by 2

5 = x

So...using -x + 4, the y value at intersection = -1.......

So...we just need to find the distance from (0,4) to ( 5, -1) =

√[ (5)^2 + (4 + 1)^2 ] = 5√2 ≈ 7.07 units

Here's a pic....AB is the distance with A = (0,4) and B = (5, -1)

Step-by-step explanation:

You might be interested in

Which statement BEST describes the equation where A represents the initial value and x represents time in years?

serg [7]

The function of exponential growth or decay is given as y= a(1 ± r)ˣ. y represents a function of exponential decay with 45%. The correct option is D.

<h3>What is exponential growth or decay function?</h3>

Consider the function:

y= a(1 ± r)ˣ

where m is the number of times this growth/decay occurs, a = initial amount, and r = fraction by which this growth/decay occurs.

If there is plus sign, then there is exponential growth happening by r fraction or 100r %.
If there is negative sign, then there is exponential decay happening by r fraction or 100r %.

If we compare the given function with the exponential function, then it can be observed that the value of (1±r) is less than 1, therefore, the function will be of exponential decay.

Now, if the (1-r) is compared with 0.55 given in the function than the value of r will be,

1 - r = 0.55

-r = 0.55 - 1

-r = -0.45

r = 0.45

r = 45%

Hence, y represents a function of exponential decay with 45%.

Learn more about exponential growth and decay here:

brainly.com/question/2193820

#SPJ1

6 0

2 years ago

A lot is 21 ft by 30 ft. To support a fence, an architect wants an upright post at each corner and an upright post every 3 ft in

Bogdan [553]

What we know:
Lot= 21 x 30ft
Perimeter=2l+2w
Want to put 4 corner post and one post every 3 ft

What we need to find:
How many post we need.

Perimeter=2 (21)+2 (30)=42+60=102ft

102/3=34

34 posts are needed.

6 0

3 years ago

Julio and David were in Target and decided to check out the clearance section. They found pencils and erasers that were on sale

Sati [7]

Answer:

Cost of one pencil: $\$0.07$