Answer:
= 14X + 6
Step-by-step explanation:
Use the distance formula
Input corresponding numbers
Solve
So, the distance between the points given is 5
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to
tan θ =m, where m is the slope of the equation
In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.
<span>y-2x=7
y = 2x+7
dy/dx = 2 =m
So,
tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
9514 1404 393
Answer:
150
Step-by-step explanation:
The increase is by the factor 5/3, so the increased number is ...
90×(5/3) = 150
90 increased in the ratio 5 : 3 is 150.
<span>The <u>correct answer</u> is:
B) 3log</span>₅<span>(x-4).
Explanation<span>:
To stretch a function by a factor of 3, we multiply the function by 3. This eliminates A and D.
To translate a function 4 units right, we add -4 to the variable before anything else is applied to it; this eliminates C.
In choice B, the log function is multiplied by 3, which gives us our vertical stretch; and the x is subtracted by 4 before anything else is applied to it, so it is translated 4 units right.</span></span>
