Circumference c=2(pie)r
C=2(pie)5
C=31.42
Answer:
A. y = 2x - 3
Explaination:
It can't be negative because then the slope would be going downward from left to right, this line is going upwards. Also, the steepness of the slope proves it is a slope of 2 because a slope of 1/2 isn't very steep. You can also count 1 unit over and look how much the line changes to find the slope.
The answer is D
2x - 3y = 6 multiply this by -3
3x - y = 2 Multiply this by 2
-6x + 9y = -18
6x - 2y = 4 Add the 2 equations:-
7y = -14 so y = -2
Substitute y = -2 in second equation:-
3x - (-2) = 2
3x = 2-2 = 0
x = 0
solution is (0,-2)
Answer:
Part A)
Part B) The distance between the y-intercepts is equal to 4 units
Part C) The value of h(x) will always be greater than the value of m(x) for any value of x
Step-by-step explanation:
Part A) What is the value of h(4) -m(16)
we have
For x=4
Find the equation of the line m(x)
Find the slope
take the points
(8,2) and (12,4)
The formula to calculate the slope between two points is equal to
substitute
Find the equation of the line in slope intercept form
we have
substitute
solve for b
therefore
Find m(16)
so
Part B) we know that
The y-intercept is the value of y when the value of x is equal to zero
Find the y-intercept of h(x)
For x=0
Find the y-intercept of m(x)
For x=0
therefore
The distance between the y-intercepts is equal to 2-(-2)=4 units
Part C)
Graph both equations
using a graphing tool
see the attached figure
The value of h(x) will always be greater than the value of m(x) for any value of x
Answer: 7*N - 12
Step-by-step explanation:
Let's break this so is easier to interpret.
"12 less than a number"
if we call the number as N, this is written as:
N - 12
and the complete sentence is:
"12 less than a number times 7"
So we must multiply our number, N, by 7.
Then the expression is:
7*N - 12