The slope of the line is negative
Answer:
x=1, y= -3
x= -2 y=0
Step-by-step explanation:
Answer:
- 110110 in base 2 when converted in base 10 will be equal to 54
- 25 in base 10 is equal to 1001 base 2
Step-by-step explanation:
Part 1: 110110two to base ten
For conversion from base 2 to base 10 we multiply each digits of given number with powers of 2
So

So 110110two when converted in base 10 will be equal to 54
Part 2: 25ten to base two
For conversion from base 10 to base 2 we will divide the given number with 2 repeatedly and store the remainders until the quotient comes 1. The solution is as follows:
25/2 = 12 remainder 1
12/2 = 6 remainder 0
6/2 = 3 remainder 0
3/2 = 1 remainder 1
Now the remainders will be written in inverse order as:
=1001 base 2
So 25 in base 10 is equal to 1001 base 2
I hope it will help you!
Answer:
n=-2
Step-by-step explanation:
4n=-8
n=-8/4
n=-2
Answer:
Step-by-step explanation:
You are given an angle, the adjacent side to the angle, and need the hypotenuse of the triangle. Use Cos x to find the missing side.
Cos α = (adjacent side)/(hypotenuse)
Cos 45 = 10/x
x(Cos 45) = 10 (multiply both sides by x to get rid of the fraction)
x = 10/(Cos 45) (divide both sides by Cos 45 to isolate x
Cos 45 = (√2)/2 so we have...
x = 10/[(√2)/2]
now simplify...
x = 10*(2/√2)
x = 20/√2
x = (20√2)/[(√2)(√2)
x = (20√2)/2
x = 10√2
or x = 14.1421 if you use a calculator