Answer:
x-intercept of the graph of the function is,
Step-by-step explanation:
Given the function: ......[1]
x-intercept defined as the graph crosses the x-axis.
Substitute value of y = 0 in [1] and solve for x;
or
Take the inverse cotangent of both sides of the equation and solve for x;
3x = arccot (0)
We know the exact value of
then;
Divide both sides by 3 we get;
Since, the cotangent function is positive in the first and third quadrants.
The period of the function is so values will repeat every radians in both directions.
we have;
Therefore, the x-intercept of the graph of the function is ;
for every integer n;
Given:
2 3/4 cups of tomatoes.
Number of cups of tomatoes written as a fraction greater than one.
2 3/4 is a mixed fraction. It is called such because it is a combination of a whole number and a fraction.
To find the number of cups of tomatoes written as fraction greater than 1, we need to convert the mixed fraction into an improper fraction.
Improper fraction is a fraction whose numerator is greater than its denominator.
2 3/4 ⇒ ((2*4)+3)/4 ⇒ (8+3)/4 ⇒ 11/4
11/4 is a fraction greater than one.
4/4 is a fraction that is equal to one. So, any numerator that is greater than 4 is a fraction that is greater than one. In this case, it is 11/4.
Answer:
the amount Selma's distance from home changes per unit of time The slope is 38, Which means that Selma's distance from home increases by 38 miles per hour.
I hope this was helpful.
The length of the measure of YZ is 80cm
<h3>Perpendicular lines</h3>
Perpendicular lines are lines that are at angle 90 degrees to each other. From the given diagram;
WX = 82cm
Required
Length. of YZ
Using the pythagoras theorem
YV = VZ = √41²-9²
YV = VZ = √1600
YV = VZ = 40
Since YZ = YV + VZ
YZ = 40cm + 40cm
YZ= 80cm
Hence the length of the measure of YZ is 80cm
Learn more on perpendicular lines here: brainly.com/question/1202004
#SPJ1
A = (-7,-6)
B = (8,-9)
Find the slope of line AB
m = (y2-y1)/(x2-x1)
m = (-9-(-6))/(8-(-7))
m = (-9+6)/(8+7)
m = -3/15
m = -1/5
The slope of line AB is -1/5.
Flip the fraction and the sign to go from -1/5 to +5/1 = 5. The perpendicular slope is 5.
Let m = 5.
Use the coordinates of point C (2,12) along with the perpendicular slope to get
y - y1 = m(x - x1)
y - 12 = 5(x - 2)
y - 12 = 5x - 10
y = 5x - 10+12
y = 5x + 2
Lastly, convert this to standard form
y = 5x + 2
5x+2 = y
5x+2-y = 0
5x-y = -2
Choice A is the closest match, but the -56 should be -2 instead. It seems like your teacher made a typo somewhere.