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Scorpion4ik [409]
3 years ago
14

Central Park is shaped like a rectangle. Two diagonally-opposite corners of the park are located at (-9,7) and (4,-3) on the coo

rdinate plane. If each square on the graph represents one city block, what is the perimeter of Central park?
Mathematics
1 answer:
Softa [21]3 years ago
3 0
The distance between the abscissas (x-coordinates) of the points is equal to 13. That of the ordinates (y-coordinates) is equal to 10. Thus, the area is obtained by multiplying these values. The answer is equal to 130 units squared. 
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A local bake shop sells cookies and cakes.On monday , sean bought 3 cookies and 5 cakes and spent $78.75 on tuesday , sean bough
Bond [772]

Answer:

The price of one cookie is $1.25 and the price of one cake is $15.

Step-by-step explanation:

Let $x be the price of one cookie and $y be the price of one cake.

1. On Monday, Sean bought 3 cookies and 5 cakes, then he spent $(3x+5y) and this is $78.75. Thus,

3x+5y=78.75.

2. On Tuesday, Sean bought 8 cookies and 2 cakes, then he spent $(8x+2y) and this is $40. Thus,

8x+2y=40.

3. Solve the system of two equations:

\left\{\begin{array}{l}3x+5y=78.75\\8x+2y=40\end{array}\right.

Multiply the first equation by 2 and the second equation by 5 and subtract them:

2(3x+5y)-5(8x+2y)=2\cdot 78.75-5\cdot 40,\\ \\6x+10y-40x-10y=157.5-200,\\ \\-34x=-42.5,\\ \\x=\$1.25.

Then

8\cdot 1.25+2y=40,\\ \\2y=40-10,\\ \\y=\$15.

8 0
3 years ago
Slope: -2/3 y-intercept: -8 find the linear equation
puteri [66]

Answer:

y = - \frac{2}{3} x - 8

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - \frac{2}{3} and c = - 8, hence

y = - \frac{2}{3} x - 8 ← linear equation

3 0
3 years ago
Mr.Lopez had $75.00. He bought his wife a gift for $45.00. What percentage of his money did he spend on the gift for his wife?
omeli [17]
($45.00)/($75.00)=.6
(.6)*100=60

60%
3 0
3 years ago
A plane that carries mail makes a round trip each day from Chicago to New York. It makes 3 intermediate stops on the way to New
coldgirl [10]

If we assume that we're measuring altitude from ground level (as opposed to sea level), there will be x-axis touches for ...

  • Chicago (the starting point for the day)
  • stop 1
  • stop 2
  • stop 3
  • New York
  • stop 4
  • Chicago (the ending point for the day)

The graph will touch the horizontal axis 7 times.

6 0
3 years ago
Read 2 more answers
What is the simplified form of the following expression? Assume x greater-than-or-equal-to 0 and y greater-than-or-equal-to 0 2
finlep [7]

To solve such questions we need to know more about expression.

<h2 /><h2>Expression </h2>

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations that are formed according to rules which are dependent on the context.  

<h2 /><h2 /><h2>Given to us,</h2>

2\sqrt[4]{16x}-2\sqrt[4]{2y}+3\sqrt[4]{81x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-4\sqrt[4]{32y}+5\sqrt[4]{x}-16\sqrt[4]{2y}+13\sqrt[4]{4}-10\sqrt[4]{2y}+35\sqrt[4]{x}-18\sqrt[4]{2y}

rearranging we get,

=2\sqrt[4]{16x}+3\sqrt[4]{81x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{4}+35\sqrt[4]{x}-2\sqrt[4]{2y}-4\sqrt[4]{32y}-4\sqrt[4]{32y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}

we know that,

\sqrt[4]{81}=3\\\sqrt[4]{16}=2\\\sqrt[4]{32}=2\sqrt[4]{2}\\

therefore,

=4\sqrt[4]{x}+9\sqrt[4]{x}+5\sqrt[4]{x}+5\sqrt[4]{x}+13\sqrt[4]{x}+35\sqrt[4]{x}-2\sqrt[4]{2y}-8\sqrt[4]{2y}-8\sqrt[4]{2y}-16\sqrt[4]{2y}-10\sqrt[4]{2y}-18\sqrt[4]{2y}

taking \sqrt[4]{x} and \sqrt[4]{2y} as common

=[(\sqrt[4]{x})(4+9+5+5+13+35)]-[(2+8+8+16+10+18)(\sqrt[4]{2y})]

Further simplifying

=71\sqrt[4]{x}-62\sqrt[4]{2y}

Learn more about the expression:

brainly.com/question/13947055?referrer=searchResults

7 0
3 years ago
Read 2 more answers
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