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noname [10]
2 years ago
7

Y = - 2/3x + 2 in standard form

Mathematics
1 answer:
Lesechka [4]2 years ago
4 0

Answer:

2x + 3y = 6

Step-by-step explanation:

2x + 3y = 6

-2x. -2x

3y/3 = -2x + 6/3

Y = -2/3x + 2

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The length of each edge of a cube is decreased by 40 percent By what percent does the volume of the cube decrease? Express your
lora16 [44]

Answer:

78% (to the nearest tenth)

Step-by-step explanation:

Volume of a cube = (length )³

Let the length of the cube = y

Original volume = y³

if the length is decreased by 40%, then new length = 1- (40% of y)

                                                                                     = 1-0.4y

                                                                                     =  0.6%

New volume (after decreasing the length) = (0.6y)³

                                                                      =  0.216‬‬y³

% Volume decrease = (Original volume - New volume)/Original Volume x 100%

                                 =  (y³ - 0.216‬‬y³)/ y³  x 100%

                                 = 0.784y³/y³  x 100%

                                 =78.4%

                                ≈78%

5 0
3 years ago
Read 2 more answers
a gardener uses a tray of 6 conical pots to plant seeds. each conical pot has a radius of 3 centimeters and a depth of 8 centime
lubasha [3.4K]
The volume of a cone is one-third of the product of the area of the base times the height, i.e.

(1/3)π(r^2)*h = (1/3)π(3cm)^2 *(8cm) = 75.40 cm^3

Now multiply that by the number of cones: 6 * 75.40 cm^3 = 452.40 cm^3.

Then the answer is 452 cm^3
3 0
3 years ago
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Find A and C for both questions
Andre45 [30]
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3 0
3 years ago
Segment BD is an altitude of triangle ABC. Find the area of the triangle.
Sever21 [200]

Answer: The correct option is A, i.e., 7.5.

Explanation:

It is given that ABC is a triangle and BD is an altitude.

Since BD is an altitude, therefore the height of the triangle is BD and the base of the triangle is AC.

The distance formula to find the distance between two points is,

D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

First, we find BD, where B(-1,4) and D(2,4).

BD=\sqrt{(2+1)^2+(4-4)^2}=\sqrt{9} =3

So, the height of the triangle is 3.

Now, we find the value of AC, where A(2,1) and C(2,6).

AC=\sqrt{(6-1)^2+(2-2)^2}=\sqrt{25} =5

So, the base of the triangle is 5.

The formula to find the area of a triangle is,

A=\frac{1}{2}\times {\text{base}}\times {\text{height}}

A=\frac{1}{2}\times 5\times 3=\frac{15}{2}=7.5

Therefore, the area of the triangle is 7.5 unit square and the correct option is A.

6 0
3 years ago
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Joe has 3 pounds of clay. He uses 3/4 pound to make a vase how much clay is left
Katen [24]
2 1/4 pounds are left of the clay :)
8 0
3 years ago
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