C = (5,4)
D = (4,2)
Dilation with factor 8 => for the same x, y increase by a factor of 8
=> C' = (5, 8*4) = (5, 32)
=> D' = (4, 8*2) = (4, 16)
slope of C'D' = [32 - 16] / [5 -4 ] =16
You can also see that the slope of CD = [4 - 2] / [5 - 4] = 2
Then, the new slope is 8 times the old slope, this is it was multiplied by the same factor, 8.
Answer: 16
Lucas' table is proportional
Answer:
Step-by-step explanation:
If the triangle is equilateral :
2x +y/2 = 5x/3+y + ½ = 2/3x +2y +5/2
so the perimeter is : P = 3(2x +y/2) or 3(5x/3+y + ½) or 3(2/3x +2y +5/2)
the simplest is : P = 3(2x +y/2)
P = 6x + (3y)/2
Your second equation has 2 x-intercepts because its curve goes beneath the x-axis, meaning it crosses the x-axis twice. Your first equation has only one x intercept because its vertex touches the x-axis. The transformation that occurred was a vertical shift downwards, (since the image function has that little -7 at the end : ) )
Answer:
$700
Step-by-step explanation:
So, I like to extract the information we know and form it into an equation.
So we know that after multiplying what you have in the bank by 4, then add 200 dollars you get two thousand dollars less than a fourth of what's in your dad's bank account.
Your dad has $20,000 in the bank.
Before we write the equation let's find what two thousand less than a fourth of 20,000 is.
20,000/4 = 5,000
Now, 5,000 - 2,000 = 3,000
Ok let's say x is how much money you have
So:
4x + 200 = 3,000
we can isolate the variable by subtracting 200 from both sides
4x = 2,800
then we can divide by 4 on each side
x = 700
so you have $700 in the bank
