Answer:
7x -1 is correct after combining like terms
Step-by-step explanation:
6+8x-7-x
To simplify algebraic expression we combine like terms
In the given expression
-x or -1x are same
8x and -1x are like terms
6 and -7 are also like terms
8x-1x= 7x
6 - 7 = -1
So 7x -1 is correct after combining like terms
Answer:
y = -2x + 9
Step-by-step explanation:
The slope of the line can be found from 2 points.
(y2-y1)/(x2-x1)
7-3/1-3
4/-2
= -2
-2 is the slope.
The y-intercept is 9.
The equation of a line is y=mx+b.
m is the slope, and b is the y-intercept.
y = -2x + 9
The area of the square is:
And the area of the circle is:
![\begin{gathered} Ac=\pi r^2 \\ Ac=\pi\cdot(3\sqrt[]{2})^2 \\ Ac=18\pi \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20Ac%3D%5Cpi%20r%5E2%20%5C%5C%20Ac%3D%5Cpi%5Ccdot%283%5Csqrt%5B%5D%7B2%7D%29%5E2%20%5C%5C%20Ac%3D18%5Cpi%20%5Cend%7Bgathered%7D)
The area of one segment is given by:
Two answers are possible.
One is with the repetition of digits.
The other is without repetition of digits.
ANSWER 1: With Repetition
Numbers: 1,2,4,5,7,8
There are 4 digits __ __ __ __
1st digit can be filled by any of the 6 numbers.
Similarly 2nd, 3rd and 4th digits.
Hence each digit will have 6 possibilities.
Therefore no.of 4 digit numbers that can be formed are 6 x 6 x 6 x 6 = 1296
ANSWER 2: Without Repetition
4 digits __ __ __ __
Now the first digit can be filled by any of the six numbers. Therefore there are 6 possibilities
The second digit will have only 5 possibilities as one of the numbers gets used up by the 1st digit.
Similarly the 3rd and 4th digits will have 4 and 3 possibilities respectively.
Therefore no.of 4 digit numbers that can be formed are 6 x 5 x 4 x 3 = 360
