9514 1404 393
Answer:
(-4, -13)
Step-by-step explanation:
When the translation (T) is added, the image is formed.
(4, -9) +T = (9, -14)
T = (9, -14) -(4, -9) = (9-4, -14-(-9)) = (5, -5)
The same holds for the second point:
(-9, -8) +T = (-9, -8) +(5, -5) = (-9 +5, -8 -5) = (-4, -13)
The image of the second point under the same translation is (-4, -13).
Answer:
no solution
Step-by-step explanation:
use grouping method:
f(x) = x^2 - 4x + 2
factor it:
when we try to factor the above equation, we see that there is no ordered pair in which the numbers multiple to -4 and add to 2, so there is no solution
So for this polynomial, we will be completing the square. Firstly, what two terms have a product of 20m^2 and a sum of -12m? That would be -10m and -2m. Replace -12m with -2m - 10m: 
Next, factor m^2 - 2m and -10m + 20 separately. Make sure that they have the same quantity inside of the parentheses: 
Now you can rewrite this expression as
. <u>(m - 10) and (m - 2) are your two factors.</u>
Answer:
(x-3)(3x-1)/((x-3)(x+2))
Step-by-step explanation:
An equivalent fraction is formed by multiplying or dividing numerator and denominator by the same factor.
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To get the desired denominator, the given denominator must be multiplied by (x-3). To get the desired numerator of the equivalent fraction, the numerator must also be multiplied by (x-3).

Answer:
f(x) = 10x + 13
Function f(7) = 83
Step-by-step explanation:
y = 10x + 13
f(x) = 10x + 13
Function f(7) = 10(7) + 13
Function f(7) = 83