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Molodets [167]
3 years ago
5

The coordinate plane below represents a community. Points A through F are houses in the community.

Mathematics
1 answer:
murzikaleks [220]3 years ago
7 0
A1) One possible set of inequalities is
  x +y > 2
  y -x < 4

A2) The lines are graphed as though the inequality were an equal sign. Since the inequality does not include the "or equal to" case, the lines are drawn dashed. In each case, the area to the right of the line is shaded.

B) Points A and B are solutions to the system if they are in the doubly-shaded region (which they are). In the graph here, that region is darker orange. (For this purpose, you need to ignore the green region, which overlaps part of the solution space.

C) The houses Billy is interested in are found by graphing the inequality and identifying the houses in its solution space. (Those houses are B and C.) Alternatively, you can evaluate the inequality for each of the house coordinates and see which ones give "true."

You might be interested in
The tile along the edge of a triangular community pool needs to be replaced. Which expression represents the total perimeter of
topjm [15]

The total perimeter of the pool edge \boxed{12{x^2} + 15}.Option A is correct.

Further Explanation:

The formula of area of square can be expressed as follows,

{\text{Area}} = \dfrac{1}{2} \times \left( b \right) \times \left( h \right)

The formula of perimeter of the triangle can be expressed as follows,

\boxed{{\text{Perimeter}} = 3 \times s}

Here, s represents the side of square.

Given:

The options are as follows,

A. {12x^2} + 15

B. {20x^2} + 25

C. {12x^2} + 8x +25

D. {24x^2} + 16x + 50

Explanation:

Option A is {12x^2} + 15.

12 and 15 are the multiple of 3.

\begin{aligned}{\text{Perimeter}} &= 12{x^2} + 15\\&= 3\left( {4{x^2} + 5} \right)\\\end{aligned}

Therefore, the perimeter of the pool is {12x^2} + 15.

The total perimeter of the pool edge \boxed{12{x^2} + 15}.Option A is correct.

Option A is correct.

Option B is not correct.

Option C is not correct.

Option D is not correct.

Learn more:

  1. Learn more about inverse of the function brainly.com/question/1632445.
  2. Learn more about equation of circle brainly.com/question/1506955.
  3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: Middle School

Subject: Mathematics

Chapter: Mensuration

Keywords: tile, edge, triangular, community pool, replaced, expression, total perimeter, pool edge, length, square, tile, polynomial expression, area, outermost tile, square tile, side of square, width, breadth, area of rectangle, dimension, measure of sides, dimensions of rectangle, expression, square.

7 0
4 years ago
Read 2 more answers
I FREAKING IEUHFJHSCBUAER THSI IS MORE THEN THE 4TH TIME ASKING COME ONNN PLS JUST FREAKING HELP ME
choli [55]

Answer:

I Think so 3 option is the correct answer of this question

8 0
3 years ago
Simplify the expression. (1)/(2)(-(5)/(6)+(1)/(3))
o-na [289]

Answer:

0.5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Raghav has to load 2456 cartons of apples equally in 5 trucks. how many cartons will be left unloaded in the end?​
zlopas [31]

Answer:

12,280

Step-by-step explanation:

just do 1456×5 :))

7 0
3 years ago
Find the reference angle for the given angle. Show work
Katarina [22]
Answer: 44 degrees

=========================================================

Since the given angle -404 is not between 0 and 360, we add 360 to it to get:
-404 + 360 = -44

We add another 360 to that result
-44 + 360 = 316
now we have a value between 0 and 360

Rules:
* If the angle is between 0 and 90, we stop here and simply write down that value

* If the angle x is between 90 and 180, then we compute 180-x

* If the angle x is between 180 and 270, then we compute x-180

* If the angle x is between 270 and 360, then we compute 360-x

* Note in the three rules above, the order of subtraction is always (larger angle)-(smaller angle) = reference angle

* The reference angle has one segment on the x axis (aka the reference angle is adjacent to the x axis)

Based on that, we see that 316 is between 270 and 360, so we use the rule that
360-x
In this case, x = 316

So,
360-x = 360-316 = 44

The reference angle is 44 degrees and looks like what you see in the attached image.

4 0
3 years ago
Read 2 more answers
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