Answer:
2 2/5=12/5
Step-by-step explanation:
Step 1: multiply the denominator by the whole number. 5x2=10
Step 2: add the answer from step 1 to the numerator. 10+2=12
Step 3: write answer from step 2 over the denominator. 12/5
=12/5
5x2+2=12
5=5
a.) Accurately sketch the plane on the set of axes, showing all your calculations below.
b.) The three planes of the axes and the plane you have sketched create a triangular pyramid. Find the volume of this pyramid, showing the formula you are using and all
calculations below.
My Answer:
a. I started off by finding my x-intercept. To find my x-intercept I substituted y and z with 0. So: x + 3(0) + 2(0) = 6. After multiplying and adding, I end up with x = 6. So my x-intercept is (6, 0, 0,). T find my y-intercept I substituted x and z with 0. So: 0 + 3y + 2(0) = 6. After multiplying and adding, we come up with 3y = 6. Now we divide each side by 3 to get y = 2. So my y-intercept is (0, 2, 0). To find my z-intercept, I substituted x and y with 0. So, 0 + 3(0) + 2z = 6. After multiplying and adding, I get 2z = 6. Now I divide each side by 2 to get z = 3. So my z-intercpet is (0, 0, 3). After I plotted the points and connected them, they formed a triangular pyramid.
So thats how much i got. I cant seem to figure out how to get the volume. please help.
Answer:
Volume of the pyramid = 6 cubic units
Step-by-step explanation:
The volume of a triangular pyramid is: V = (1/3)*A*H
where A is the area of the triangle base, and H is the height of the pyramid.
Taking the triangle formed in the x-y plane as the base, its area is computed as follows:
A = (1/2)*6*2 = 6 square units
where 6 and 2 are the measure of the two perpendicular sides of the triangle. This is taken from the x-intercept point (6, 0, 0) and y-intercept point (0, 2, 0).
The height of the pyramid is then the measure of the z-intercept point (0, 0, 3), that is, 3. Replacing in volume formula:
V = (1/3)*A*H
V = (1/3)*6*3
V = 6 cubic units
The point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0.
To find the equation of the tangent plane to a surface at a given point, follow these steps:
Step 1: Determine the function that describes the surface in the form F(x, y, z) = 0.
Step 2: Find the partial derivative of F with respect to x, denoted as Fx.
Step 3: Find the partial derivative of F with respect to y, denoted as Fy.
Step 4: Find the partial derivative of F with respect to z, denoted as Fz.
Step 5: Evaluate Fx, Fy, and Fz at the given point (x0, y0, z0).
Step 6: Use the gradient vector, which consists of the evaluated partial derivatives (Fx(x0, y0, z0), Fy(x0, y0, z0), Fz(x0, y0, z0)), as the normal vector to the tangent plane.
Step 7: Use the point-normal form of a plane equation: (Fx(x0, y0, z0))(x - x0) + (Fy(x0, y0, z0))(y - y0) + (Fz(x0, y0, z0))(z - z0) = 0. This is the equation of the tangent plane at the given point.
By following these steps, you will find the equation of the tangent plane to the surface at the specified point.
For more about plane equation:
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Answer:
the number 17 should be added to it
Step-by-step explanation:
brainliest pls =}
Answer:
$450
Step-by-step explanation:
1050 - (12 x 50) = 450
12 x 50 = 600
1050 - 600 = 450
Answer:
The phone would cost $450 after 12 months
Step-by-step explanation:
Multiply $50 by 12 months which would equal $600.
Then you would subtract $600 from $1050 which would equal the total price of $450.
B. y = sin x
C. y = cot x
D. y = csc x
Answer: y= cos x
y=sec x
Step-by-step explanation:
Answer:
S44.10
Step-by-step explanation:
20% of 52 is 41.6
6% of 41.6 is 2.49600 US$ which rounds to 2.50
2.50+41.6=44.1
$44.10