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Shalnov [3]
2 years ago
15

Renee wants to join the local gym. The cost of the membership can be represented by the equation, y=12x+35, where x is the numbe

r of months of the membership, and y
is the total cost.

What is the initial membership fee before any months are considered?
Mathematics
1 answer:
Montano1993 [528]2 years ago
5 0
The initial membership fee before any months are considered is 35.

Substitute 0 with x because no months have been considered. Like what was previously said, y is the total cost, so:

Y=12(0)+35
12 x 0 = 0
Y=0+35
Y=35
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Answer:

Denote O as center of circle, draw OA, OC.

As property of tangent line from outside of circle (angle OAD = angle OCD = 90 deg):

=> AOC + D = 180

Moreover, angle  AOC = 2 x angle B = 2 x 65 = 130

=> D = 180 - 130 = 50 deg

Hope this helps!

:)

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3 years ago
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Answer:

Step-by-step explanation:

x% of 8 = 3

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How do I solve this step by step?
Zinaida [17]

Answer:

45

Step-by-step explanation:

plug in 3 where the xs are

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Find the tangent plane to the given surface of f(x,y)=6- 6/5 x-y at the point (5, -1, 1). Make sure tat your final answer for th
HACTEHA [7]

Answer:

Required equation of tangent plane is z=\frac{6}{5}(x-5y-11).

Step-by-step explanation:

Given surface function is,

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To find tangent plane at the point (5,-1,1).

We know equation of tangent plane at the point $(x_0,y_0,z_0)[/tex] is,

z=f(x_0,y_0)+f_x(x_0,y_0)(x-x_0)+f_y(x_0,y_0)(y-y_0)\hfill (1)

So that,

f(x_0,y_0)=6-\frac{6}{5}(5+1)=-\frac{6}{5}

f_x=-\frac{6}{5}y\implies f_x(5,-1,1)=\frac{6}{5}

f_y=-\frac{6}{5}x\implies f_y(5,-1,1)=-6

Substitute all these values in (1) we get,

z=\frac{6}{5}(x-5)-6(y+1)-\frac{6}{5}

\therefore z=\frac{6}{5}(x-5y-11)

Which is the required euation of tangent plane.

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