A scale factor of 1/2 makes the triangle half the size of the original.
The original is 4 units tall, so 1/2 scale makes the new one 2 units tall.
It is 6 units long, so 1/2 would be 3 units long.
Now since the scale factor is centered at (-1,3) fine the midpoint between The top left corner of the triangle and the center point:
Midpoint ( -1-5/2 , 3+7/2)
Midpoint = (-6/2 , 10/2)
Midpoint = -3,5
This is where the top left corner of the scaled triangle would be.
See attached picture:
Answer:
1.46
Step-by-step explanation:
First find the the mean score before he made a 90.
Now add the score of 90 and calculate.
Subtract the two scores.
His mean test score increased by 1.46.
Answer:
Its Break-even Point. The Inn Has 75 Rooms That Are Rented At $60 A Night. Operating Costs Are As Follows. Salaries Utilities Depreciation Maintenance Maid Service Other Costs $10,600 Per Month 2,400 Per Month 1,500 Per Month 800 Per Month 8 Per Room 34 Per Room Determine The Inn's Break-even Point In ..
Step-by-step explanation:
Answer:
Will's age = 9 years
Bill's age = 11years
Step-by-step explanation:
Let will age = x
Bill = x +2 since he is 2 years older
x(x+2) = 5( x +x+2) - 1
Opening brackets
x² + 2x = 5(2x + 2) - 1
x² + 2x = 10x + 10 - 1
x² + 2x = 10x + 9
Collect like terms
x² + 2x - 10x - 9 = 0
x² - 8x - 9 = 0
Solve quadratically using factorisation method by finding two factors of +9 that can add up to give -8, the coefficient of x.
The factors are -9 and +1
x² + x - 9x - 9 = 0
x(x + 1) -9( x +1)
x+1) (x -9) =0
x + 1 = 0 or x -9 =0
x = -1 or 9
Age can not be negative
Therefore,
Will's age = 9 years
Bill's age = x+2 = 9+2 = 11years
I hope this was helpful, please rate as brainliest
Answer: its b
Step-by-step explanation:
bc i used a calculator and it said so
