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777dan777 [17]
2 years ago
11

Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.

Mathematics
1 answer:
Scilla [17]2 years ago
5 0
The graph of the region is attached.  The coordinates of the centroid are (5/3, 1).

The coordinates of the centroid are found by averaging the coordinates of the region;

Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3
O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1

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Which graph matches the equation y+3=2(x+3)?
Vlad1618 [11]

Answer:

The graph that includes points (-3,-3) and (0,3)

Step-by-step explanation:

In the pictures attached, the options are shown.

The equation:

y+3=2(x+3)

has the point-slope form, which is:

y-y₁=m(x-x₁)

where (x₁, y₁) is a point on the line and <em>m</em> is its slope. This means that (-3,-3) is on the line. To know the y-intercept of the line, we have to replace x = 0 into the equation, as follows:

y+3=2(0+3)

y+3 = 6

y = 6 - 3

y = 3

Then, point (0, 3) is on the line.

8 0
2 years ago
If you know that a &lt; b, and both a and b are positive numbers, then what must be true about the relationship between the oppo
nlexa [21]
What ever number A is, it is going to be less than whatever number B is.
8 0
2 years ago
Read 2 more answers
Enter the values for the highlighted variables that show how to subtract the rational expressions correctly
Lina20 [59]
A = 6
x^2 + 6x is equal to x(x+6)
b=2
Denominator and numerator of the first term are multiplied by x. 
c=6
Second term is multiplied by (x-6)/(x-6)
d=2
Now that they have the same denominator, the two terms are combined. 2 is the coefficient of the first term
e=6
In the same way as d is carried over from b, e is carried over from c. 
f = 6
2x - x + 6 = x + 6
g = 1 
We factor out the (x+6) from the numerator and denominator
4 0
2 years ago
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Solve the equation 5x + (−2) = 6x + 4 using the algebra tiles. What tiles need to be added to both sides to remove the smaller x
miss Akunina [59]

Answer:

a) Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) Adding -4 on both sides will remove the constant from the right side of the equation

Step-by-step explanation:

Given equation:

5x + (−2) = 6x + 4

a) What tiles need to be added to both sides to remove the smaller x-coefficient?

Smaller x-coefficient is 5x to remove the smaller x-coefficient

So, Adding -5x on both sides of the equation to remove the smaller x-coefficient

b) What tiles need to be added to both sides to remove the constant from the right side of the equation?

the constant on right side is 4

Adding -4 on both sides will remove the constant from the right side of the equation

6 0
2 years ago
Read 2 more answers
The distance d (in miles) that you can see to the horizon with your eye level h feet above the water is given by d=3h2−−−√. You
liubo4ka [24]

Answer: He cannot see a ship that is 4.5 miles away.

Step-by-step explanation:

Since we have given that

d=3\sqrt{h}

Here, h is the eye level above the water

d is the distance away.

If h = 12 feet

We will get :

d=3\sqrt{12}\\\\d=3\times 2\sqrt{3}\\\\d=6\sqrt{3}\\\\d=10.39

Hence, it is 10.39 feet away when eye level is 12 feet above the water.

Therefore , he cannot see a ship that is 4.5 miles away.

7 0
1 year ago
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