Answer:
-8x^5y^2
Step-by-step explanation:
A. Plane AU
B. Plane JAU
C. Plane R
D. Plane ABC
2 x m x n x 8
Based on the given expression, he simplified expression is 16mn.
To simplify the expression 2 x m x n x 8, multiply the coefficients and combine the variables.
2 x m x n x 8 = 2 * 8 * m * n
Multiplying the coefficients
2 * 8 = 16
Now rearrange the variables:
16 * m * n
So, the simplified expression is 16mn.
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Answer:
0.0035 in decimal form
7/2000 in fraction form
Step-by-step explanation:
math .way helps a lot with problems like this
Answer:
0.0035 in decimal form
7/2000 in fraction form
Step-by-step explanation:
math .way helps a lot with problems like this
Step-by-step explanation:
Answer:
The cannonball lands at approximately 5.093 unit distance from the point of fire
Step-by-step explanation:
The given parameters are;
The arc denoting the equation of motion of the cannon is y₁ = -0.5·x² + 2.5·x + 1
The slope of the field where in the direction the cannon is fired is y₂ = 1.5·x
The points where the cannonball land on the slopping field is given as rightly pointed by equating the two equations, the cannonball path path and the field path as follows;
At the point of contact of the cannonball and the field, the y-values of both equation will be equal
y₁ = y₂
∴ -0.5·x² + 2.5·x + 1 = 0.15·x
Which gives;
-0.5·x² + 2.5·x - 0.15·x + 1 = 0
-0.5·x² + 2.35·x + 1 = 0
-(-0.5·x² + 2.35·x + 1) = 0.5·x² - 2.35·x - 1 = 0
0.5·x² - 2.35·x - 1 = 0
The above equation is in the general form of a quadratic equation, which is given as follows;
a·x² + b·x + c = 0
By the quadratic equation, we have;
Plugging in the values, gives;
∴ x ≈ 5.093 or x ≈ -0.393
Therefore, the cannonball will takeoff at x ≈ -0.393 and land at x ≈ 5.093
The height from which they fire the cannon is given by the substituting the value of x ≈ -0.393 into the equation for the path of the cannonball, to give;
= -0.5·(-0.393)² + 2.5·(-0.393) + 1 = -0.0597
≈ -0.0597.
However, the actual initial height from which the cannonball is fired given by placing x = 0, which gives y = 1, which is the reason for the other (negative) value for x. Please see the attached graph created with Microsoft Excel.
Answer:
7
Step-by-step explanation:
7 is three places to the right of the decimal point, and therefore the thousandths place
After the decimal place, this is how the order goes:
tenths, hundredths, thousandths
Take the number 1.234
1.(2)34 tenths place
1.2(3)4 hundredths place
1.23(4) thousandths place
2 is in the tenths place
3 is in the hundredths place
4 is in the thousandths place
Good luck :)
(Sorry for the first answer I gave, I didn't read that clearly...)