Answer:

Step-by-step explanation:
Consider an equation: 
Here, m is the slope of the line and c is the y-intercept.
Given equation is 
Here, slope is 
As product of slopes of two perpendicular lines is equal to
, slope of the required line is
.
Let 
Equation of the required line is 

Answer:
96π or 301.59 in³
Step-by-step explanation:
V(cone) = 1/3πr²h
= 1/3·π·6²·8
= 96π or 301.59
Answer:
The hypotenuse measures 8.48 meters.
Step-by-step explanation:
Given that a right isosceles triangle has legs of 6 meters long each, to find the length of the hypotenuse to the nearest tenth of a meter the following calculation must be performed, through the application of the Pythagorean theorem:
6 ^ 2 + 6 ^ 2 = X ^ 2
36 + 36 = X ^ 2
√ 72 = X
8.48 = X
Therefore, the hypotenuse measures 8.48 meters.
Answer:
Step-by-step explanation
Step 1: multiply the coefficient a and the constant c. Given that the general expression of a parabolic equation is ax^2+bx+c
3*5=15
Step 2: examine the coefficient b and try to find 2 numbers which you can multiply to get 15, add or subtract and get - 8
In this Case: - 3*-5=15 and - 3+(-5)= - 8
Step3:
You separate the equation in terms of the two factors you have found
3x^2-3x-5x+5=0
Step 4:Factorise
3x(x-1)-5(x-1)=0
(3x-5)(x-1)=0