Answer:
Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Step-by-step explanation:
Given:
Slope = 2 = m ( say )
Let,
point A( x₁ , y₁) ≡ ( -2 , -7 )
point B( x₂ , y₂) ≡ ( 5 , 7 )
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,

Or
Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,

Substituting the given values in a above equation we get

Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Answer:
The instantaneous velocity at
is
.
Step-by-step explanation:
We have the position as the function

As we know that the velocity is the rate of change of position over time, so it is basically the derivative of the function.
so finding the derivate of 
∴ 
The instantaneous velocity at 

Therefore, the instantaneous velocity at
is
.
Please note that the negative value indicates the direction of movement, in this case, it would be backward.
Answer:


Step-by-step explanation:
Given
Rectangle:
Length = 2 in
Width = 3 in
Scale Factor = 7
Solving (a):
The side lengths of the new scale is calculated as follows;
New Lengths = Old Lengths * Scale Factor



Solving (b): To go back to the original length
Given that the initial scale factor is 7;
The new scale factor is the reciprocal of the old factor;
Hence;

309 times 692 ***********************
Answer:
4 1/9
Step-by-step explanation:
Add all of them together. you get 37. Then divide them by how many numbers. You get 4.111 repeating. I then just turned that into a fraction and got 4 1/9