I only know (b) and 28 (c)
(b) Multiples of 120= 120,240,360,480,600
Multiples of 150= 150,300,450,600
Both numbers have 600 as their first common multiple so the ANSWER is 600
28. (a) Common factors of 24= 1,2,3,4,6,8,12,24
Common factors of 64= 1,2,4,8,16,32,64
8 is the only common factor for both 24 and 64 so 8 is the ANSWER
Answer:
Step-by-step explanation:
<u>Quadratic Equation Solving</u>
We have the equation:
Divide by 8:
Now complete the squares so the left side is a perfect square of a binomial:
Factoring the perfect square:
Taking the square root:
The square root of a negative number is an imaginary number:
Solving for x:
The solutions are:
Answer:
y = 2/3 x -2
Step-by-step explanation:
Slope intercept form is y = mx+b where m is the slope and b is the y intercept
We need to solve for y
2x-3y = 6
Subtract 2x from each side
2x-2x-3y=-2x+6
-3y = -2x+6
Divide by -3
-3y/-3 = -2/-3x+6 /-3
y = 2/3 x -2
The slope is 2/3 and the y intercept is -2
Answer:
- table: 14, 16, 18
- equation: P = 2n +12
Step-by-step explanation:
Perimeter values will be ...
rectangles . . . perimeter
1 . . . 14
2 . . . 16
3 . . . 18
__
The perimeter of a figure is twice the sum of the length and width. Here, the length is a constant 6. The width is n, the number of rectangles. So, the perimeter is ...
P = 2(6 +n) = 12 +2n
Your equation is ...
P = 2n +12 . . . . . . . . perimeter P of figure with n rectangles.
_____
<em>Additional comment</em>
You may be expected to write the equation using y and x for the perimeter and the number of rectangles. That would be ...
y = 2x +12 . . . . . . . . . perimeter y of figure with x rectangles
