In quadrilateral ABCD, ∠ABC is a right angle and AB = 4 units. Quadrilateral ABCD is dilated by a scale factor of 2 with point B as the center of dilation, resulting in the image, quadrilateral A'B'C'D'. Which statement is true? A.
A'B' is 8 units long and lies on the same line as AB.
B.
A'B' is 6 units long but lies on a different line than AB.
C.
A'B' is 8 units long but lies on a different line than AB.
D.
A'B' is 6 units long and lies on the same line as AB.

A

Step-by-step explanation:

the scale factor applies to all lines and dimensions. so, the new, dilated line will be the length of the original line × 2.

that means 8 units.

and since B is the center, the original line AB will be mirrored and stretched to the other side of B (meaning B' = B). therefore, AB and A'B' are then on on line (with the length of 4+8 = 12 units).

the answer is 0.000652422

but if you ment to ask what is 6131 divided by 4, it is 1532.75.

step-by-step explanation:

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629