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3 years ago

What is the slope of the line shown below?

Mathematics

1 answer:

Artyom0805 [142]3 years ago

3 0

Answer:

Step-by-step explanation:

Use the coordinates of the given points to find the slope.

difference in y-coordinates = -3 - 6 = -9

difference in x-coordinates = 2 - (-1) = 3

slope = -9/3 = -3

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A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 31 ft long and 24 ft wide. If

garik1379 [7]

Step-by-step explanation:

First, find the perimeter of the rectangle;

1) perimeter = 2length + 2 width

2) 2(31) + 2 (24) = 110ft

Second, find the circumference of the circle;

1) C = 2πr

2) Since the rectangle is joined to the semicircle, we can assume the diameter is equal the width (or length) of the rectangle. The radius (r) is half of the diameter. (length: r = 15.5 or width: r = 12)

So, C = 2(3.14)(15.5) = 97.32ft

C = 2(3.14)(12) = 75.36ft

Since it is a semicircle, we only need half of its circumference.

97.32 / 2 = 48.66

75.36 / 2 = 37.68

Finally, we are going to add up our values;

1) If the semicircle is on the length of the rectangle (remember to subtract the length of width that semicircle attaches to because we won't need fencing there)

(110-31) + 48.66 = 127.66ft

2) If the semicircle is on the width of the rectangle (remember to subtract the length of width that semicircle attaches to because we won't need fencing there)

(110-24) + 37.68 = 123.68ft

3 0

3 years ago

Find (-8x+2)-(-5x+7)

dezoksy [38]

Answer: -3x-5

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Help me pleaseee i really need it

Rufina [12.5K]

Answer:

96^2

Step-by-step explanation:

Area of all shapes added.

6 0

3 years ago

Please answer the question and provide a solid definition of what an expression is, thank you :)

xz_007 [3.2K]

Answer:

Answers are: 2x - 7, and 2x -7 = 14

Step-by-step explanation:

An expression must have variables must have a coefficient, a number that is multiplied divided added or subtracted by our variable. The variable is a place holder.

So our answers would be 2x - 7, and 2x -7 = 14

5 0

3 years ago

You push your younger sister on a swing one time and then allow your sister to

Ber [7]

Answer:

My sister will swing the total distance = 40 feet

Step-by-step explanation:

On the first swing my sister travels a distance of 8 feet.

In every successive swing she travels 80% of the distance of the previous distance.

So the sequence formed by the distance traveled in every swing will be a geometric sequence.

First term of the sequence 'a' = 8 feet

common ratio 'r' = 0.80

Since this sequence is an infinite geometric sequence,

Sum of this sequence = $\frac{a}{(1-r)}$ [Since r < 1]

= $\frac{8}{1-0.8}$

= $\frac{8}{0.2}$

= 40 feet

Therefore, my sister will cover the total distance = 40 feet

7 0

3 years ago