Answer:
Step-by-step explanation:
Given
Required
Find actual distance when map distance = 6 inches
Substitute 6 for Map in
Express as fractions
Cross Multiply
<em>Hence, the actual distance is 480 miles</em>
Answer:
b = 4
Step-by-step explanation:
5b + 4 = 24
5b = 20
b = 4
Answer:
Note that orthogonal to the plane means perpendicular to the plane.
Step-by-step explanation:
-1x+3y-3z=1 can also be written as -1x+3y-3z=0
The direction vector of the plane -1x+3y-3z-1=0 is (-1,3,-3).
Let us find a point on this line for which the vector from this point to (0,0,5) is perpendicular to the given line. The point is x-0,y-0 and z-0 respectively
Therefore, the vector equation is given as:
-1(x-0) + 3(y-0) + -3(z-5) = 0
-x + 3y + (-3z+15) = 0
-x + 3y -3z + 15 = 0
Multiply through by - to get a positive x coordinate to give
x - 3y + 3z - 15 = 0
Answer:
8
Step-by-step explanation:
<span>To write a two-variable equation, you would first need to know how much Maya’s allowance was. Then, you would need the cost of playing the arcade game and of riding the Ferris wheel. You could let the equation be cost of playing the arcade games plus cost of riding the Ferris wheel equals the total allowance. Your variables would represent the number of times Maya played the arcade game and the number of times she rode the Ferris wheel. With this equation you could solve for how many times she rode the Ferris wheel given the number of times she played the arcade game.</span>
