Answer:
x=11(12y-15)
Step-by-step explanation:
4x(3y-2)=7x+11
12xy-8x=7x+11
12xy-8x-7x=11
12xy-15x=11
x(12y-15)=11
x(12y-15)/(12y-15)=11/(12y-15)
x=11/(12y-15)
The number 4000 is 400 times greater than the the number 10.
Answer:
already in standard form
Step-by-step explanation:
the equation of a quadratic in standard form is
y = ax² + bx + c ( a ≠ 0 )
y = x² + 4x + 3 ← is in standard form
with a = 1 , b = 4 , c = 3
Answer:
The rate at which Perimeter of the square is increasing is
.
Step-by-step explanation:
Given:
Circumference of the circle = 
Rate of change of in circumference = 6 in/secs
We need to find the rate at which the perimeter of the square is increasing
Solution:
Now we know that;

Now we know that;
side of the square= diameter of the circle
side of the square = 
Now Perimeter of the square is given by 4 times length of the side.

Now we need to find the rate at which Perimeter is increasing so we will find the derivative of perimeter.

But 
So we get;

Hence The rate at which Perimeter of the square is increasing is
.
Step-by-step explanation:
y=(x-d)²+7
y-7=(x-d)²
√(y-7)=x-d
d=x-√(y-7)
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