Answer:
=9
Step-by-step explanation:
3x9=27
27/3=9
Answer: (4,8) which is choice A
f = 2/3 is the scale factor
x = 6 and y = 12 pair up to get the coordinates for point K's location
multiply f by x and y to get the new location
f*x = (2/3)*6 = (2/3)*(6/1) = (2*6)/(3*1) = 12/3 = 4
f*y = (2/3)*12 = (2/3)*(12/1) = (2*12)/(3*1) = 24/3 = 8
The results we get are 4 and 8. So (6,12) moves to (4,8)
This scale factor 2/3 = 0.667 is less than 1, so the image is smaller compared to the pre-image.
Answer:
ΔVUW ≅ ΔXYW
Step-by-step explanation:
These triangles are congruent by Angle-Side-Angle (ASA) Theorem. This is because they both share two corresponding congruent angles, being Angle U and Angle Y, and Angle VUW and Angle XYW (they're vertical angles, meaning they're congruent).
They also share a corresponding congruent side, being Side UW and Side YW. You can tell because of the congruent dash marks on the sides, that have already been given to you.
Answer:
The reason why it is incorrect to cancel the 4x in the numerator with the 4x in the denominator is because 4x is not a factor of both the numerator and the denominator
Step-by-step explanation:
The denominator of the rational expression, x^2 + 4x - 12 given above is a quadratic equation. It is not factorizable. If we factorize the numerator, 4x - 8, we would have
4 (x - 2).
This means 4x is not a factor of the numerator(4x - 8) and neither is it a factor of the denominator (x^2 + 4x - 12). This is the reason why it is incorrect to cancel the 4x in the numerator with the 4x in the denominator. The factors of the denominator can only be gotten by using the general formula for solving quadratic equations
the measurement of QP=8 CM
