An arithmetic sequence is given below.25, 20, 15, 10, ...thWrite an explicit formula for the nan=term an8 08X
1 answer:
First, we have to see how is the progression in the sequence and then we can make the formula for the n term
In the formula d is the constant change in one number to the other which means d=-5 and a1=25 which is the first term of the sequence
The expression inside the blue square box is the formula for the n term of the sequence, if you want to know any number , you just have to replce n for the position pof the number that you want to know.
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Given:
A figure of a circle and two secants on the circle from the outside of the circle.
To find:
The measure of angle KLM.
Solution:
According to the intersecting secant theorem, if two secant of a circle intersect each other outside the circle, then the angle formed on the intersection is half of the difference between the intercepted arcs.
Using intersecting secant theorem, we get
Multiply both sides by 2.
Isolate the variable x.
Divide both sides by 7.
Now,
Therefore, the measure of angle KLM is 113 degrees.
Answer:
Step-by-step explanation:
The absolute value of z is the distance between the point graphed from the complex number and the origin on a complex plane. In a complex plane, the x axis is replaced by R, real numbers, and the y axis is replaced by i, the complex part of the complex number. Our real number is positive 3 and the complex number is -5, so we go to the right 3 and then down 5 and make a point. Connect that point to the origin and then connect the point to the x axis at 3 to construct a right triangle that has a base of 3 and a length of -5. To find the distance of the point to the origin is to find the length of the hypotenuse of that right triangle using Pythagorean's Theorem. Therefore:
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