Given:
Square DEFG = SIDE LENGTH = 2 UNITS
Square D'E'F'G' = SIDE LENGTH = 6 UNITS
The question was which scale factor was used to dilate square DEFG to square D'E'F'G'
From a side length of 2 units to a side length of 6 units
The scale factor used is 3.
2 * scale factor = 6
scale factor = 6/2
scale factor = 3
Answer:
-2
Step-by-step explanation:
-3x -2 = 2x +8
-2 = 5x +8 . . . . . . add 3x
-10 = 5x . . . . . . . . subtract 8
-2 = x . . . . . . . . . . divide by 5
Answer:
x = 100√3
Step-by-step explanation:
tan(30º) = x/300
x = 300 tan(30º)
x = 300/√3
x = 100√3
Answer:
9p⁸ + 12p⁴q⁴ + 4q⁸
Step-by-step explanation:
(3p⁴ + 2q⁴)² ⇒ The square of (3p⁴ + 2q⁴)
Squares are such bases that multiply itself two times.
⇒ (3p⁴ + 2q⁴)(3p⁴ + 2q⁴)
<u>Simplifying the expression using (a + b)(a + b) = (a x a) + (ab) + (ab) + (b²)</u>
⇒ (9p⁸ + 6p⁴q⁴ + 6p⁴q⁴ + 4q⁸)
⇒ (9p⁸ + 12p⁴q⁴ + 4q⁸) = 9p⁸ + 12p⁴q⁴ + 4q⁸