9514 1404 393
Answer:
A'B' = 3×AB
Step-by-step explanation:
Any linear measure on the scaled-up drawing will be the measure of the original, multiplied by the scale factor.
A'B' = 3×AB
The first graph is B. x^2 + 6 < 3
It is a parabola and opens upward when x^2 is positive. 6 raises it upwards by 6 units. the circle at
x = 3 means that the function can approach but not be equal to 3.
The square root of 169 is 13 and 170 is 13.03
Answer: point F is at <u> 0.6 </u> on the number line
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Explanation:
The ratio 2:3 scales up to 2x:3x for some positive real number x.
This means the distance from D to F is 2x units, and the distance from F to E is 3x units. Combine those two smaller distances to get 2x+3x = 5x to represent the full distance from D to E.
D is at -3 and E is at 6. This is a distance of 9 units since |-3-6| = |-9| = 9
Set this equal to the 5x from earlier and solve
5x = 9
x = 9/5
x = 1.8
This leads to 2x = 2*1.8 = 3.6
Therefore, we'll move 3.6 units from -3 to -3+3.6 = 0.6 which is the location of point F on the number line.
Notice that from 0.6 to 6 is 5.4 units and that 3x = 3*1.8 = 5.4 matches up to help confirm the answer.