For each pair of coordinates, choose whether the points are reflections across the x-axis or the y-axis.

Mathematics

1 answer:

m_a_m_a [10]3 years ago

7 0

1. Y-axis
2. X-axis
3. Y-axis
4. X axis

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Maria plans to use fencing to build an enclosure or enclosures for her two horses. A single enclosure would be square shaped and

Gala2k [10]

Step 1
find the perimeter of a single enclosure
perimeter of a square=4*b
where b is the long side of a square
area square=b²
area square=2025 ft²
b²=2025-------> b=√2025-----> b=45 ft
so
perimeter=4*45-------> 180 ft

step 2
find the perimeter of a two individual enclosure
perimeter=4*20+3*40------> 200 ft
area=20*40*2------> 1600 ft²

therefore
fencing singular enclosure < fencing two individual enclosure
180 ft < 200 ft

area singular enclosure > area two individual enclosure
2025 ft² > 1600 ft²

the answer is the option
a The singular enclosure would minimize cost because it requires 180 feet of fencing.

5 0

3 years ago

Read 2 more answers

WHAT IS X³-27 SIMPLIFIED

Eduardwww [97]

Answer:

It is (x - 3)³ - 9x(3 - x)

Step-by-step explanation:

Express 27 in terms of cubes, 27 = 3³:

$= {x}^{3} - {3}^{3}$

From trinomial expansion:

${(x - y)}^{3} = (x - y)(x - y)(x - y) \\$

open first two brackets to get a quadratic equation:

${(x - y)}^{3} = ( {x}^{2} - 2xy + {y}^{2} )(x - y)$

expand further:

${(x - y)}^{3} = {x}^{3} - y {x}^{2} - 2y {x}^{2} + 2x {y}^{2} + x {y}^{2} - {y}^{3} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3x {y}^{2} - 3y {x}^{2} \\ {(x - y)}^{3} = {x}^{3} - {y}^{3} + 3xy(y - x) \\ \\ { \boxed{( {x}^{3} - {y}^{3} ) = {(x - y)}^{3} - 3xy(y - x)}}$