Answer:
3rd answer EF = 2√13
Step-by-step explanation:
Make a right triangle and use Pythagorean theorem a²+b² = c²
Go from point F 6 units down till point (1,-3) .From that point go 4 units left till you hit point E.
Triangle has legs a and b that are 6 and 4 units long so 6² + 4² = EF²
36 + 16 = 52
EF² = 52 find √52
EF = √52
There is no √52 as a whole number so rewrite 52 as a product of number who was a √ and the other who doesn't have a √
52 = 4 * 13
EF = √4 * √13 = 2√13
B=(c-3a)/2
Should be the equation you get
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.

Step-by-step explanation:



