LMNP is a rectangle. If LN = 9x – 14 and MP = 7x + 4, find the values of x, LN, and MP.

1 answer:

7 0

I am thinking of a rectangle that has the two sides parallel to one another. Set the two functions equal to one another, so

9x-14=7x+4

After a bunch of algebra and math magic, 2x=18 => x=9

So if you just insert 9 into both equations, both will end up with a value of 67, so it ends up looking like a right triangle. Don't do that. Instead, to find the rectangle widths, use 9x-4 (+10 added to intercept) instead, while keeping 7x+4, so that the intercepts match.

LN) 9x-4 = 9(9)-4 = 81-4 = 77
MP) 7(9)+4 = 63+4 = 67

*If you are also looking for the diagonals, use Pythagorean Theorem 77^2+67^2=(hypotenuse)^2*

You might be interested in

Show that a discrete metric on a vector space X≠{0} cannot be obtained from a norm (the pair (X,d) is called the discrete metric

topjm [15]

You know that the discrete metric only takes values of 1 and 0. Now suppose it comes from some norm ||.||. Then for any α in the underlying field of your vector space and x,y∈X, you must have that

∥α(x−y)∥=|α|∥x−y∥.

But now ||x−y|| is a fixed number and I can make α arbitrarily large and consequently the discrete metric does not come from any norm on X.

Step-by-step explanation:

hope this helps

4 0

1 year ago

7x5 answer plz i need help

ExtremeBDS [4]

The answer is 35

7x5=35

7 0

2 years ago

Read 2 more answers

If you roll a dice three times what is the probability of rolling an odd number each time

olasank [31]

Answer:

3/6

Step-by-step explanation:

there are 6 sides: 3 odd and 3 even numbers

if you need to find the probability of rolling an odd number, take the number of odd possibilities and form a fraction with the number of total sides, 6.

so, 3/6 Or 1/2

8 0

2 years ago

Read 2 more answers

Plsss helppppppp plsssss

MrRa [10]

Set up an equation of ratios as shown below:

h 24 ft 4
----- = ---------- = ---
4 6 ft 1

Cross multiplying the 1st and 3rd fractions, we get h=16 ft (answer)

3 0

2 years ago

Which equation is graphed in the diagram below

Deffense [45]

Answer:

y=2x+2

Step-by-step explanation:

7 0

2 years ago