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Tanya [424]
3 years ago
7

The vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4). If a line through (2,2) p

artitions the interior of this rectangle into 2 regions that have equal areas, what is the slope of this line?
Mathematics
1 answer:
Hatshy [7]3 years ago
3 0

Answer:

slope =0

Step-by-step explanation:

Given that the vertices of a rectangle in the standard (x,y) coordinate plane are (0,0), (0,4), (7,0), and (7,4).

The rectangle has length = 7 and width =4

We know rectangle has two lines of symmetry which are i) vertical line through mid point ii) Horizontal line through mid point

Since the line passes through (2,2) we have the line as middle line.

Hence the required line isy =2

Slope of the line =0

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The area of a square flowerbed is 1.21 square yards. What is the length of each side?
gregori [183]

Step-by-step explanation:

area of a square=a*a=a^2

1.21=a^2

a=√1.21

a=1.1yards

6 0
3 years ago
For the rhombus, what are the slopes of the two diagonals? DO NOT introduce any new variables.
Jobisdone [24]

The slopes of the two diagonals of the rhombus are: A. b - f/a - e and -a + e/b - f.

<h3>What is the Slope of a Line Segment?</h3>

To find the slope, the formula used is: change in y/change in x.

If two lines are perpendicular to each other, their slope values will be negative reciprocals.

<h3>What is the Diagonals of a Rhombus?</h3>

In a rhombus, the two diagonals in the rhombus bisects each other at angle 90 degrees. This means that the two diagonals of a rhombus are perpendicular to each other. Therefore, the slope of the diagonals of any rhombus would be negative reciprocals.

The slope of the diagonals of the rhombus given would therefore be negative reciprocals to each other.

Given two endpoints of one of the diagonals as:

(a, b) = (x1, y1)

(e, f) = (x2, y2)

Slope (m) = change in y / change in x = b - f/a - e

The negative reciprocal of b - f/a - e is -a + e/b - f.

Therefore, the slopes of the two diagonals are: A. b - f/a - e and -a + e/b - f.

Learn more about the slopes of diagonals of a rhombus on:

brainly.com/question/3050890

#SPJ1

5 0
2 years ago
A cell phone retailer used a mark-up rate of 60% on a cellphone case that originally cost $5. To find the new price of the case
sweet-ann [11.9K]

Answer:

$8

Step-by-step explanation:

5 increase 60% =

5 × (1 + 60%) = 5 × (1 + 0.6) = 8

7 0
3 years ago
Millie has a box of 1 hundred cubes. She also has a bag of 70 cubes. How many trains of 10 cubes can she makes?
melisa1 [442]
17 trains of ten cubes
5 0
3 years ago
Read 2 more answers
Material for a dress costs £5.50 per metre.<br> find the cost of 10cm and 70cm
Zielflug [23.3K]

Answer:

<em>The cost of 10 cm and 70 cm are  £0.55 and £3.85 respectively.</em>

Step-by-step explanation:

Material for a dress costs £5.50 per meter.

We know that,  <u>1 meter = 100 cm</u>.

Suppose, the cost of 10 cm material is x and the cost of 70 cm material is y

Now, <u>according to the ratio of "cost" to the "length of material"</u> , we will get.......

\frac{x}{10} =\frac{5.50}{100}\\ \\ 100x=10*5.50=55\\ \\ x=\frac{55}{100}=0.55

and

\frac{y}{70} =\frac{5.50}{100}\\ \\ 100y=70*5.50=385\\ \\ x=\frac{385}{100}=3.85

So, the cost of 10 cm material is £0.55 and the cost of 70 cm material is £3.85

5 0
3 years ago
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