A)
Let's pick point (4,4) and point (2,2). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.
The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
2-(-2)=4
The length of one side of the first square is 4. (I just subtracted the x-values.)
4 times 4 = 16.
The perimeter of the first square is 16.
Similarly, 4-(-4)=8 and 8 times 4 = 32.
The perimeter of the second square is 32.
b)
Let's pick point (6,6) and point (3,3). If you divide the new point by the old point you will see that both the x-value and the y-value were multiplied by 2 to gt the new x-value and new y- value. So the scale factor is 2.
The perimeter of the first square can be found by subtracting the x-values from two points to get the length of one side and then multiply the result by 4 to get the perimeter of the whole square.
3-(-3)=6
6 times 4 = 24.
The perimeter of the first square is 24.
Similarly, 6-(-6)=12 and 12 times 4 =48.
The perimeter of the second square is 48.
c)
If a figure is dilated to a scale factor of 2 then the perimeter of the figure will also be doubled.
20%, because if 65 is 100, then 52 is 80% out of 65; so 100 - 80 is 20
Answer: The cost for one hamburger is $2.5
Step-by-step explanation:
Let x represent the cost of one hamburger.
Let y represent the cost of one fry.
The tennis coach took his team out for lunch and bought eight hamburgers and five fries for $24. This means that
8x + 5y = 24- - - - - - - - - - - -1
The players were still hungry so the coach bought six more hamburgers and two more fries for 16.60. It means that
6x + 2y = 16.6- - - - - - - - - - 2
Multiplying equation 1 by 6 and equation 2 by 8, it becomes
48x + 30y = 144
48x + 16y = 132.8
Subtracting, it becomes
14y = 11.2
y = 11.2/14
y = 0.8
Substituting y = 0.8 into equation 1, it becomes
8x + 5 × 0.8 = 24
8x + 4 = 24
8x = 24 - 4 = 20
x = 20/8
x = 2.5
Answer:
-2/3c + 8
Step-by-step explanation:
-2/3 (c-12) distribute (multiply) the -2/3 to everything in the parentheses.
-2/3 * c = -2/3c
-2/3 * -12 = 24/3 which simplifies to 8 (negative times a negative = positive)
-2/3c + 8 is your answer
Answer:
0.5
Step-by-step explanation:
8x+6=10
8x=10-6
8x=4
x=4/8=0.5
