Answer:
Step-by-step explanation:
Because many objects are not regularly shaped their volume cannot be determined using a volume formula. The volume of these objects can be found by water displacement. A volume of water sufficient to cover the object is placed in a graduated cylinder and the volume read. The object is added to the cylinder and the volume read again. The difference between the two volumes is the volume of the object. This method is demonstrated using the same battery used above.
Answer:
Yes, at positive x-coordinates.
Step-by-step explanation:
Finding the equation for g(x):
Slope = (3-6)/ (1-0) = -3
y-intercept = y value when x = 0 = 6.
So g(x) = -3x + 6
Solve them simultaneously:
x^2 + y^2 = 16
g(x) : y = -3x + 6
Substitute for y in the first equation:
x^2 + (-3x + 6)^2 = 16
x^2 + ( 9x^2 - 36x + 36) = 16
10x^2 - 36x + 20 = 0
5x^2 - 18x + 10 = 0
x = [-(-18) +/- sqrt ( (-18)^2 - 4 * -18 * 10)] / (5*2)
= ( 18 +/- sqrt 124 )/ 10
= (1.8) +/- 1,114
These 2 roots are both positive.
The slope is 4 and the y-intercept is 
Step-by-step explanation:
The general form of a linear equation is Ax + By + C = 0, where
- A is the coefficient of x
- B is the coefficient of y
- C is the numerical term
- A, B, and C are integers
- The slope of the line =
- The y-intercept =
∵ The linear equation is 0 = 2 - 3y + 12x
- Switch the two sides and arrange the terms as the general
form above
∴ 12x - 3y + 3 = 0
∴ A = 12
∴ B = -3
∴ C = 2
∵ The slope of the line =
- Substitute A by 12 and B by -3
∴ The slope of the line = 
∴ The slope of the line = 4
∵ The y-intercept =
- Substitute C by 2 and B by -3
∴ The y-intercept = 
∴ The y-intercept =
The slope is 4 and the y-intercept is
Learn more:
You can learn more about the linear equation in brainly.com/question/4819659
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Pick’s Theorem is used to find the areas of figures on lattices easily. The formula is:
A = (B)/2 + I - 1, where B is the number of points on the border of the shape, and I is the number of points inside the shape.
Here, there are 8 points on the outside of the shape, and there are 12 points inside the shape. So, we do:
8/2 + 12 - 1 = 4 + 12 - 1 = 15 units squared.
We can check by finding the areas of the non-shaded region and subtracting that area from the whole rectangle area of 4 * 10 = 40:
4 * 1 + (3 * 1)/2 + 1 * 9 + (3 * 1)/2 + (9 * 2)/2 = 25
40 - 25 = 15, so we’re right!
The answer is 15 units squared, or choice (B).
