Answer:
x=12 y=3
Step-by-step explanation:
Since the scale factor is 1:3, that means that the length and width of Q multiplied by 3 gives the corresponding length and width of P.
Similarly, the length and width of P divided by 3 gives the corresponding length and width of Q.
With this, 9/3=3, which is the value of y.
4*3=12, which is the value of x.
3/5*3
pretend that 3 has a denominator which is 1
3/5*3/1
mutiply the numerators together
3*3= 9
mutiply the denominators together
5*1= 5
Answer:
9/5, 1.8 and 1 4/5
Answer:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
Step-by-step explanation:
The fundamental theorem of algebra guarantees that a polynomial equation has the same number of complex roots as its degree.
We have to find the roots of this given equation.
If a quadratic equation is of the form
Its roots are and
Here the given equation is = 0
a = 2
b = -4
c = -1
If the roots are , then
=
=
=
=
=
=
These are the two roots of the equation.
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!