Answer:

Step-by-step explanation:
The equation of a line is usually written in the form of y=mx+c, where m is the gradient and c is the y-intercept.
The product of the gradients of perpendicular lines is -1.
Gradient of given line= 3.
(Gradient of line)(3)= -1
3m= -1
m= 
subst. m=
into the equation:

To find the value of c, substitute a coordinate.
When x=0, y=4,

Thus the equation of the line is
.
Answer: X= 6 or X=-4
Step-by-step explanation:

Answer:
83.25
Step-by-step explanation:
add all the numbers and divide by 8. 666/8 = 83.25
<h3>
Answer:</h3>
C. x^5 + 5x^4y + 10x^3y^2 + 10x^2y^3 + 5xy^4 + y^5
<h3>
Step-by-step explanation:</h3>
Wrong terms are bolded:
A. x5 + 5x4y + 10x3y2 + 10x3y3 + 5xy4 + y5
B. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y4
C. x5 + 5x4y + 10x3y2 + 10x2y3 + 5xy4 + y5
D. x5 + 5x4y4 + 10x3y3 + 10x2y2 + 5xy + y5
The sum of exponents should always be 5.
Since a log graph is with base 10 and a ln graph is with base e (2.something), the log x graph will clearly have smaller numbers (as, for example, log100=2 and ln100=around 4.6). In addition, you only have to multiply a number by e to increase the power by 1 but you have to multiply a number by 10 (which is significantly larger than e) to increase logx's power by 1, therefore proving that the log x graph will grow slower