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Answer:
{d,b}={4,3}
Step-by-step explanation:
[1] 11d + 17b = 95
[2] d + b = 7
Graphic Representation of the Equations :
17b + 11d = 95 b + d = 7
Solve by Substitution :
// Solve equation [2] for the variable b
[2] b = -d + 7
// Plug this in for variable b in equation [1]
[1] 11d + 17•(-d +7) = 95
[1] -6d = -24
// Solve equation [1] for the variable d
[1] 6d = 24
[1] d = 4
// By now we know this much :
d = 4
b = -d+7
// Use the d value to solve for b
b = -(4)+7 = 3
Solution :
{d,b} = {4,3}
The equation of a line for the given slope is .
Solution:
Given data:
Slope (m) =
Point = (–2, 0)
To find the equation of the given line in the point-slope form:
<u>Point-slope formula:</u>
Substitute the given values in the formula.
The equation of a line for the given slope is .
Answer:
Step-by-step explanation:
This is the distance formula for cartesian coordinate systems, or your typical xy graph. If given two points to find the distance between, you can assign '1' or '2' to the points, i.e. (1,1) and (2,2) could be: (1,1) is (x1,y1) and (2,2) is (x2,y2). It doesn't matter which point is 1 or 2. If we were to use those example points in this formula, we would have:
We can simplify and come up with:
=
We must remember that square roots can be positive OR negative, HOWEVER, because you are looking for a distance it must be positive .
Hope this helped!
Answer:
A. E={ and is a multiple of 8}
Step-by-step explanation:
Let represent the set of natural numbers. Then we can write;
.
The set of all natural numbers that are multiples of 8 is then written as;
and is a multiple of 8.
E is the set of natural numbers that are multiples of 8 can then be written in set builder notation as;
E={ and is a multiple of 8}
The correct choice is A