Answer:
2x - 16y
Step-by-step explanation:
To rewrite the expression in the simplest term, we can distribute the negative sign in the second set of parentheses:
( -x-7y) - (-3x+9y)
= -x-7y + 3x-9y
Then, we can combine the x and y terms:
= -x + 3x - 7y - 9y
Finally, we can simplify the expression by canceling out the x terms:
( -1 + 3 )x - 7y - 9y
= 2x - 16y
Therefore, the simplest term for the expression is 2x - 16y.
Answer:2(x−8y)
Step-by-step explanation:
To find the opposite of −3x+9y, find the opposite of each term.
−x−7y−(−3x)−9y
The opposite of −3x is 3x
.−x−7y+3x−9y
Combine −7y and −9y to get −16y
.−x−16y+3x
Combine −x and 3x to get 2x.
2(x-8y)
A) 16 ft2
B) 40 ft2
C) 64 ft2
D) 96 cm2
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.
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sin x cot x =cos x
Answer:
sinx ×cosx/sinx
sinx gets cancelled
cosx
The required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.
Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Total charges of gym = Initial service fee + $ 35 per month
Thus, the total charges for 6 months = Initial service fee + 35 × 6 = Initial service fee + 210
According to the question,
Initial service fee + 210 = 250
⇒ Initial service fee = 250 - 210 = $ 40
Hence, the total charges for the gym for x months = 40 + 35x. Here, y represents the total charges for x months,
⇒ y = 40 + 35 x
The total cost of the membership after 10 months will be calculated as:-
y = 40 + 35 x
y = 40 + 35 x 10
y = 390
Therefore, the required equation is, y = 40 + 35 x, and the cost for 10 months will be 390.
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