Answer:
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Step-by-step explanation:
Given:
Let
A(x₁ , y₁) = (1 , 4) and
B( x₂ , y₂ ) = (-1 , 2)
To Find:
θ = ?
Solution:
Slope of a line when two points are given is given bt
Substituting the values we get
Also Slope of line when angle ' θ ' is given as
Substituting Slope = 1 we get
We Know That for angle 45°,
tan 45 = 1
Therefore
Therefore the angle that the line through the given pair of points makes with the positive direction of the x-axis is 45°.
Answer:
A = 1.125
Step-by-step explanation:
A = lw
l =1.5
and w =.75
A= 1.5* (.75)
A = 1.125
They almost have the same equations but on the second equation, the 2 is negative two.
The correct question is
<span>What is the equation in standard form of an ellipse centered at the origin and vertex (4,0) and focus (1,0)
</span>
we know that
<span>Standard form of equation for an ellipse with horizontal major axis is
(x-h)</span>²/a²+(y-k)²/b²=1
the center is the origin
so
(h,k) is (0,0)<span>length of horizontal major axis------> 8=2a-----> a=4
a</span>²=16
c=1 (distance from center to focal point)
c²=1
b²=a²-c²-----> b²=16-1----> b²=15
the equation is
(x)²/16+(y)²/15=1
the answer is
(x)²/16+(y)²/15=1
Answer:
Make sure you are using a perfect circle. This method won't work with ellipses, ovals or anything but a real circle. A circle is defined as all the points on a plane that are an equal distance from a single center point. The lids of jars are good household objects to use for this exercise.You should be able to calculate pi roughly because in order to get exact results of pi, you will need to ...
Measure the circumference of a circle as accurately as you can. The circumference is the length that goes around the entire edge of the circle. Since the circumference is round, it can be difficult to measure (that's why pi is so important). Lay a string over the circle as closely as you can. Mark the string off where it circles back around, and then measure the string length with a ruler.
Measure the diameter of the circle. The diameter runs from one side of the circle to the other through the circle's center point.
Use the formula. The circumference of a circle is found with the formula C= π*d = 2*π*r. Thus pi equals a circle's circumference divided by its diameter. Plug your numbers into a calculator: the result should be roughly 3.14.[3] X Research source
Repeat this process with several different circles, and then average the results.
Step-by-step explanation:
