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slega [8]
3 years ago
7

How many solutions does the system y = -3x - 3 and y = -3(x + 1) have? Why?

Mathematics
1 answer:
BartSMP [9]3 years ago
5 0

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Calculaye the perimeter and area of these composite shapes
lora16 [44]

For this case we have that the perimeter of the figure is given by the sum of the lengths of the sides, that is:

14 + 18 + 3 + 4 + 3 + 4 + 3 + 4 + (14-9) + (18-12) = 64

Thus, the perimeter of the figure is 64 centimeters.

Now, we find the area of the figure:

We have that by definition, the area of a rectangle is given by:

A = a * b

Where:

a and b are the sides of the rectangle

We have 4 vertical rectangles from left to right:

A_ {1} = 14 * (18-12) = 14 * 6 = 84 \ cm ^ 2\\A_ {2} = (3 + 3 + 3) * 4 = 9 * 4 = 36 \ cm ^ 2\\A_ {3} = (3 + 3) * 4 = 6 * 4 = 24 \ cm ^ 2\\A_ {4} = 3 * 4 = 12 \ cm ^ 2

Thus, the total area isA_ {t} = 156 \ cm ^ 2

Answer:

The perimeter of the figure is 64 centimeters.

A_ {t} = 156 \ cm ^ 2

4 0
3 years ago
PLEASE HELP NOW!!!!!!!!!!!!!!!!!!!
Dahasolnce [82]

Answer:

8 + k² - 6 > 8(k + 2) - 4k when k = 7

Step-by-step explanation:

8 + k² - 6 = 8 + 7² - 6 = 51

8(k + 2) - 4k = 8(7 + 2) - 4(7) = 8(9) - 28 = 44

8 + k² - 6 > 8(k + 2) - 4k when k = 7

8 0
2 years ago
Hello everyone, i am very confused by this question:
Lesechka [4]

Answer:

Read the explanation down

Step-by-step explanation:

This is a linear equation, because the equation does not have any exponents. Graph it by putting the equation into either slope-intercept form y=mx+b or point-slope form y−y1=m(x−x1).

Isolate y by first adding 6x to each side:

9y=6x−18

Divide each side by 9:

y=23x−2

Now graph the line y=23x−2 by first plotting the y intercept at (0,−2), then connecting points with a slope of 23.

graph{2/3x-2 [-10, 10, -5, 5]}

8 0
2 years ago
You have 2\3 of a pizza left from yesterday. You divide it into 4 equal pieces. What fraction of the pizza is each piece?​
romanna [79]
<h3>Answer:  1/6</h3>

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

Explanation:

Let's say for example this pizza had 6 slices to start with. Two-thirds of this is (2/3)*12 = 4 slices. So you have 4 slices left over from yesterday. Then let's say you hand one slice to each of your four friends. Each friend would have 1/6 of the original pizza.

4 0
2 years ago
what formulas could be used to determine the surface area of a cylinder sandwiched between one cone and half of a sphere?
skelet666 [1.2K]
Answer: Rectangle around the cylinder, Lateral surface of the cone, Half a sphere

To find this surface area, you have 3 different parts. First, you need the rectangular portion of the cylinder, because the circles will be on the inside of the composite shape. Then, you will need the lateral side of the cone, that's everything but the circular base. Again, the circle will be on the interior. Finally, you should find the surface area of half of the sphere.
4 0
3 years ago
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