Answer:
The x-intercept would be 9 and the y-intercept would be -18/5
Step-by-step explanation:
In order to find this we need to first find the slope. To do that we use the two points and the slope equation.
m (slope) = (y2 - y1)/(x2 - x1)
m = (-2 - -6)/(4 - -6)
m = 4/10
m = 2/5
Now that we have the slope, we can use that and either point to find the equation of the line in standard form.
y - y1 = m(x - x1)
y + 6 = 2/5(x + 6)
y + 6 = 2/5x + 12/5
-2/5x + y + 6 = 12/5
-2/5x + y = -18/5
-2x + 5y = -18
Now that we have this, we can find the intercepts through using 0s. First, we put a zero in for y to find the x intercept.
-2x + 5y = -18
-2x + 5(0) = -18
-2x = -18
x = 9
Therefore the x intercept is 9.
We find the y-intercept by doing the opposite. We put a 0 in for x.
-2x + 5y = -18
-2(0) + 5y = -18
5y = -18
y = -18/5
The two limits when x tends to zero are:
<h3 /><h3>How to get the limits when x tends to zero?</h3>
Notice that we have a jump at x = 0.
Then we can take two limits, one going from the negative side (where we will go along the blue line)
And other from the positive side (where we go along the orange line).
We will get:
Notice that the two limits are different, that means that the function is not a continuous function.
If you want to learn more about limits:
brainly.com/question/5313449
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Answer:
17.1%
Step-by-step explanation:
160/193=0.829
1-0.829=0.171
Move the decimal place over two places, and the answer is 17.1%
<u>Given</u>:
The given equations are 
and 
We need to determine the pair of numbers that is a member to the system of equations.
<u>Pair of numbers:</u>
The pair of numbers can be determined by solving the system of equations.
Let us use the substitution method to solve the equations.
Substituting in the equation , we have;
Thus, the value of x is 1.
Substituting x = 1 in the equation , we get;
Thus, the value of y is 7.
Hence, the pair of numbers that is a member of both the equations are (1,7)
Answer:
length = 6 feet
width = 4 feet
Step-by-step explanation:
To find the dimensions of the rectangle, you can set up a variable and an expression that will equal the perimeter of the figure. Given l = length, width is '8 feet less than twice the length' or w = 2l - 8.
The general formula for perimeter of a rectangle is:
2w + 2l = P, where w = width and l = length
Using the variable and expression from above and the perimeter of 20 feet:
2(2l - 8)+ 2l = 20
distribute: 4l - 16 + 2l = 20
combine like terms: 6l - 16 = 20
add 16 to both sides: 6l - 16 + 16 = 20 + 16 or 6l = 36
divide and solve for 'l': 6l/6 = 36/6, or l = 6 feet
solve for 'w': w = 2(6) - 8 or w = 12 - 8 = 4 feet
