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madam [21]
2 years ago
14

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

Mathematics
1 answer:
Fittoniya [83]2 years ago
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*
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Kat is painting the edge of a triangular stage prop with reflective orange paint. The lengths of the edges of the triangle are (
Eva8 [605]
Plug 4 in for every x

(3*4)-4=8
(4^2)-1=15 [(4^2) is 4*4]
(2*(4^2))-15= 15 [because of PEMDAS the exponent comes first and then multiply by 2 then subtract]

Perimeter is the sum of the lengths so add up all the sides from above
8+15+15=38
3 0
3 years ago
Carlos is using the distributive property to evaluate the expression 14 (49) by using friendlier numbers. His work is shown belo
Natasha2012 [34]
Separating 49 into 40+9
7 0
3 years ago
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Show me how to solve this, please.<br> <img src="https://tex.z-dn.net/?f=%282.7%20%2A%2010%5E%7B-5%7D%29%20%2F%20%289%20%2A%2010
rusak2 [61]

Answer:

3

Step-by-step explanation:

2.7 * 10 ^-5 / 9 * 10 ^-6

First divide the numbers

2.7 / 9 = .3

Then divide the exponents

10^-5 / 10 ^ -6

When we divide exponents we subtract

10^(-5 - -6) = 10 ^1

.3 * 10 ^1

But scientific notation has a number between 1 and less than 10

Move the decimal 1 place to the left, so we subtract 1 from the exponent

3 * 10 ^ (1-1)

3 * 10 ^0

8 0
2 years ago
Read 2 more answers
Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}
Olin [163]

Answer:

B {6, 6, 7}

Step-by-step explanation:

Which set of numbers may represent the lengths of the sides of a triangle? (A) {2,5,9} (B) {6,6,7} (C) {6,4,2} (D) {7,8,1}

For a given triangle with 3 sides, the sun of the length of any two sides must be greater Than the third side. This can be expressed mathematically as;

Let the side be ;

x, y and z

Then:

x > (y + z) or

y > (x + z) or

z > (x + y)

For A{2,5,9}

(2 + 5) < 9 (does not meet criteria)

For B {6,6,7}

(6 +6) > 7

(7 +6) > 6

Meets all criteria

For C {6,4,2}

(4 +2) is not greater Than 6 (does not meet criteria)

For D {7,8,1}

(7 +1) is not greater Than 8 ( does not meet criteria)

3 0
3 years ago
How many different positive integers can be represented as a difference of two distinct members of the set {1, 2, 3, 4, 5, 6}?
slega [8]

For the difference to be positive, when both the minuend and the subtrahend are positive, the former must be greater than the latter.

Therefore

minuend = 2 ⇒ subtrahend = 1 ← 1 number

minuend = 3 ⇒ subtrahend = 1,2 ← 2 numbers

minuend = 4 ⇒ subtrahend = 1,2,3 ← 3 numbers

minuend = 5 ⇒ subtrahend = 1,2,3,4 ← 4 numbers

minuend = 6 ⇒ subtrahend = 1,2,3,4,5 ← 5 numbers

1+2+3+4+5=<u>15</u>

5 0
2 years ago
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