Answer:
The points that are exactly 10 units from the point (–8, –2) are (2, –2) and (–8, 8).
Step-by-step explanation:
The distance formula is;
d= 
So for distance between: (–8, –2) and (2, –2) is:
d= 
d= 
d= 10 unit
Similarly for distance between: (–8, –2) and (–8, 8) is,
d= 
d=
d= 10 unit
Answer:
Slope = 1/3
Step-by-step explanation:
<em>Step 1: Define general form of equation of line</em>
An equation of a straight line on two-dimensional plane could be represented in form of: y = Mx + b, with M is slope and b is y-intercept
<em>Step 2: Set up the system to solve for slope M of equation of line</em>
That equation passes 2 points, which are represented in form of (x, y), (3, 7) and (6, 8).
Substitute these values of x and y into the original equation in step 1:
7 = 3M + b
8 = 6M + b
<em>Step 3: Solve the system of equations in step 2 for M</em>
Subtract 1st equation from 2nd equation:
8 - 7 = 6M - 3M + b - b
Simplify both sides:
1 = 3M
Divide both sides by 3:
=> M = 1/3
Hope this helps!
:)
Answer:
-7/4
Step-by-step explanation:
You are looking for the composite g(f(2)). The simplest way to solve this is to evaluate f(2) and enter the solution in to your g function.
g(f(2))=g(-(2)^2-2(2)+4)=g(-4-4+4)=g(-4)
g(-4)=4/(-4(-4)-2)=4/(16-2)=4/14=2/7
Therfor, g(f(2))=2/7 **I'm assuming the -4x-2 is all in the denominator of the g(x) function. If -2 is not in the denominator you would have
g(f(2))=4/(-4(-4)) -2=4/16 -2=1/4 -2=1/4-8/4= -7/4
The car can travel 235.2 miles on 9.8 gallons. Just multiply 24 by 9.8.
