Answer:
The scale factor of the dilation that transforms the triangle is 1/3
Step-by-step explanation:
9x1/3 is 3. 6x1/3 is 2, etc.
7x³ = 28x is our equation. We want its solutions.
When you have x and different powers, set the whole thing equal to zero.
7x³ = 28x
7x³ - 28x = 0
Now notice there's a common x in both terms. Let's factor it out.
x (7x² - 28) = 0
As 7 is a factor of 7 and 28, it too can be factored out.
x (7) (x² - 4) = 0
We can further factor x² - 4. We want a pair of numbers that multiply to 4 and whose sum is zero. The pairs are 1 and 4, 2 and 2. If we add 2 and -2 we get zero.
x (7) (x - 2) (x + 2) = 0
Now we use the Zero Product Property - if some product multiplies to zero, so do its pieces.
x = 0 -----> so x = 0
7 = 0 -----> no solution
x - 2 = 0 ----> so x = 2 after adding 2 to both sides
x + 2 = 0 ---> so = x - 2 after subtracting 2 to both sides
Thus the solutions are x = 0, x = 2, x = -2.
Possible dimensions of the scarf are:
Width:6 inches Length:96inches
Width:12 inches Length:84 inches
Width:11inches Length: 86 inches
Width:10 inches Length: 88 inches
Width: 7 inches Length: 94 inches
Width: 8 inches Length: 92 inches
Width: 9 inches Length: 90 inches
There are 2² butterflies.
Or simply 2²
Answer:
-19
Step-by-step explanation:
3x+2 = -55
-2 -2
3x = -55-2
3x = -55+-2
3x = -57
/3 /3
x=-19
