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LiRa [457]
3 years ago
6

1) On a city map drawn on a coordinate plane, the city park is located at (20, 4) and the school is at (20, 9). What is the dist

ance between the park and the school in the map units?
5 units

11 units

13 units

16 units

2) A rectangular plot of land is represented on a coordinate plane where each unit is one foot. The vertices are at (50, 20), (50, 90), (100, 20) and (100, 90). What is the perimeter of the rectangular plot?

120 feet

240 feet

520 feet

3500 feet
Mathematics
2 answers:
weqwewe [10]3 years ago
6 0
1) Since the x coordinates don't change, the distance is just delta y.

9-4=5 units

2)

w=dx=100-50=50

h=dy=90-20=70

p=2(w+h) so

p=2(70+50)

p=240 feet
Marina CMI [18]3 years ago
4 0
1) is 5 units which can be found by graphing
2) I got 240 by graphing this one as well
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The difference of a number s and 6
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Answer:

idk

Step-by-step explanation:

What you do you have to find someone more smarter than me!

6 0
3 years ago
Which point would be a solution to the system of linear inequalities shown below? y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1 y&g
Sauron [17]

Answer:

x < \frac{20}{17} and y \ge \frac{-5}{17}

Step-by-step explanation:

Given

y>4 x-5\hspace{50px}y\ge\frac{3}{5} x-1

Required

Find x and y

In the second equation. Assume that:

y = \frac{3}{5}x - 1\\

Substitute y = \frac{3}{5}x - 1 in the first equation

y > 4x - 5

\frac{3}{5}x - 1 > 4x - 5

Collect like terms

\frac{3}{5}x - 4x >  - 5 + 1

\frac{3}{5}x - 4x >  -4

Multiply through by 5

3x - 20x > -20

-17x > -20

Solve for x

x < \frac{20}{17}

Substitute this value of x in y \ge \frac{3}{5}x - 1

y \ge \frac{3}{5}*\frac{20}{17} - 1

y \ge \frac{3}{1}*\frac{4}{17} - 1

y \ge \frac{12}{17} - 1

y \ge \frac{12- 17}{17}

y \ge \frac{-5}{17}

3 0
3 years ago
A deli made $320,000 in revenue last year. Due to increased popularity of the deli, the owner predicts that revenue will increas
DedPeter [7]

Answer:  $736.000

Step-by-step explanation:

if u take out the 4 0s in 320.000 u will get 32 if u take out the percent of 23% u get 23 now mutiply 32 and 23 now u get 736 now add 3 0s then you have your answer

4 0
3 years ago
Each cube in the prism is one cubic unit. <br> What is the volume of this rectangular prism?
Oksanka [162]

Answer:

I think the answer would be 120 cm3 .

8 0
3 years ago
Solve by using Pythagorean Theorem, a= 5, b= x-1, and c=x
charle [14.2K]

The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

Step-by-step explanation:

The given is,

             a = 5

             b = x - 1

             c = x

Step:1

      Pythagorean theorem is,

              a^{2} + b^{2} = c^{2}................................(1)

      (  It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides )

      From the given values the equation (1) becomes,

                       5^{2} + (x-1) ^{2} = x^{2}

                             ( (a-b)^{2} = a^{2}  + b^{2} -2ab )

               25 + ( x^{2} + 1 - 2x ) = x^{2}

                           25 + 1 -2x = 0               ( ∵ Eliminate x^{2} in both sides)

                                     26 = 2x

                                       x = 13

Step:2

        From the values of x,

                   a = 5

                    b = ( 13 - 1 ) = 12

                   c = 13

Result:

            The value of x is 13, from the values of x the values of a,b and c becomes 5, 12 and 13, which is obtained by using Pythagorean theorem.

3 0
3 years ago
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