Answer:
A circle is shown. Secants P N and L N intersect at point N outside of the circle. Secant P N intersects the circle at point Q and secant L N intersects the circle at point M. The length of P N is 32, the length of Q N is x, the length of L M is 22, and the length of M N is 14.
In the diagram, the length of the external portion of the secant segment PN is <u>X</u>
The length of the entire secant segment LN is <u>36</u>.
The value of x is <u>15.74</u>
Step-by-step explanation:
Snap
Jona_Fl16
A rational number is a number that can be written in the form:
Where p and q are coprimes. We are asked for finite sets, we can rule out options 3 and 4. In the set in option 2 the first element is:
This number cannot be written a ratio. We can rule out option 2.
All the elements in the set from option 1 can be written in the form p/q.Thus, the answer is the first option.
A prisms characteristics are as followed
First, a prism has two faces that are the same in shape and are parallel. those two faces are sometimes called the <span>bases </span>of the prism. Between these two faces are the rest of the sides of the prism which most of the time are rectangles. Prisms are normally named based on the shape of the two parallel faces. For example, a prism with two parallel square faces would be known as a “square based prism” or sometimes just “square prism”. Simple enough , now go out there and ace your test buddy !!
Answer:
P and Q are two points on the line x-y+1=0 and are at a distant of 5 units from the origin. Find the area of triangle POQ.
Step-by-step explanation:
P and Q are the intersection points of
x-y+1 = 0 and the circle x^2 + y^2 = 25
sub y = x+1 into the circle
x^2 + (x+1)^2 = 25
x^2 + x^2 + 2x + 1 - 25 = 0
x^2 + x - 12 = 0
(x+4)(x-3) = 0
x = 3 or x = -4
y = 4 or y = -3
so P(3,4) and Q(-4,3) are our two points
Height of triangle.
h = |0 - 0 + 1|/√2 = 1/√2
PQ = √( (-7)^2 + 1^2) = √50 = 5√2
area POQ = (1/2)(1/√2)(5√2) = 5/2 square units
hope this helped
Answer:
It is the third option. (the one which has a black point at X=1, Y=1)
Step-by-step explanation:
For simplicity what you should do is, you should satisfy the second condition that is, y=0 if x=1.
Here only the third option is satisfying this condition.
Whenever there is is a white circle or a white point it means that the point does not satisfy the condition and the the function is not defined at that point. And the black point means that the circle is defined at that point and satisfies the condition.
Henceforth, the correct answer is the third option.
